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6262: 3367: 60: 2547: 3584:(1918) states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations. A generalisation of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics (1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian; for example, dissipative systems with continuous symmetries need not have a corresponding conservation law. 2019: 5408:. It states that there is a certain quantity, which we call energy, that does not change in manifold changes which nature undergoes. That is a most abstract idea, because it is a mathematical principle; it says that there is a numerical quantity which does not change when something happens. It is not a description of a mechanism, or anything concrete; it is just a strange fact that we can calculate some number and when we finish watching nature go through her tricks and calculate the number again, it is the same. 2345: 221: 5315:. An irreversible process is one in which energy is dissipated (spread) into empty energy states available in a volume, from which it cannot be recovered into more concentrated forms (fewer quantum states), without degradation of even more energy. A reversible process is one in which this sort of dissipation does not happen. For example, conversion of energy from one type of potential field to another is reversible, as in the pendulum system described above. 9846: 8747: 8284: 3380: 1791: 6276: 8308: 4264:. At that time, according to theory, space expanded and the universe cooled too rapidly for hydrogen to completely fuse into heavier elements. This meant that hydrogen represents a store of potential energy that can be released by fusion. Such a fusion process is triggered by heat and pressure generated from gravitational collapse of hydrogen clouds when they produce stars, and some of the fusion energy is then transformed into sunlight. 6248: 3666: 4680: 3724:
horsepower. For tasks lasting a few minutes, a fit human can generate perhaps 1,000 watts. For an activity that must be sustained for an hour, output drops to around 300; for an activity kept up all day, 150 watts is about the maximum. The human equivalent assists understanding of energy flows in physical and biological systems by expressing energy units in human terms: it provides a "feel" for the use of a given amount of energy.
8320: 2051: 8296: 5365:, and that no energy is lost in transfer. The total inflow of energy into a system must equal the total outflow of energy from the system, plus the change in the energy contained within the system. Whenever one measures (or calculates) the total energy of a system of particles whose interactions do not depend explicitly on time, it is found that the total energy of the system always remains constant. 4196:
drive turbines or generators to produce electricity). Sunlight also drives most weather phenomena, save a few exceptions, like those generated by volcanic events for example. An example of a solar-mediated weather event is a hurricane, which occurs when large unstable areas of warm ocean, heated over months, suddenly give up some of their thermal energy to power a few days of violent air movement.
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understanding, familiar events such as landslides and earthquakes release energy that has been stored as potential energy in the Earth's gravitational field or elastic strain (mechanical potential energy) in rocks. Prior to this, they represent release of energy that has been stored in heavy atoms since the collapse of long-destroyed supernova stars (which created these atoms).
4550:(electrons and positrons) are destroyed and changed to non-matter (the photons). However, the total mass and total energy do not change during this interaction. The photons each have no rest mass but nonetheless have radiant energy which exhibits the same inertia as did the two original particles. This is a reversible process – the inverse process is called 3735:, when carbon dioxide and water (two low-energy compounds) are converted into carbohydrates, lipids, proteins and oxygen. Release of the energy stored during photosynthesis as heat or light may be triggered suddenly by a spark in a forest fire, or it may be made available more slowly for animal or human metabolism when organic molecules are ingested and 4215:
of the thermal energy, which may later be transformed into active kinetic energy during landslides, after a triggering event. Earthquakes also release stored elastic potential energy in rocks, a store that has been produced ultimately from the same radioactive heat sources. Thus, according to present
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is the sum of all microscopic forms of energy of a system. It is the energy needed to create the system. It is related to the potential energy, e.g., molecular structure, crystal structure, and other geometric aspects, as well as the motion of the particles, in form of kinetic energy. Thermodynamics
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to time. This mathematical entanglement of energy and time also results in the uncertainty principle – it is impossible to define the exact amount of energy during any definite time interval (though this is practically significant only for very short time intervals). The uncertainty principle should
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from heat energy via a steam turbine, or lifting an object against gravity using electrical energy driving a crane motor. Lifting against gravity performs mechanical work on the object and stores gravitational potential energy in the object. If the object falls to the ground, gravity does mechanical
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Most kinds of energy (with gravitational energy being a notable exception) are subject to strict local conservation laws as well. In this case, energy can only be exchanged between adjacent regions of space, and all observers agree as to the volumetric density of energy in any given space. There is
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phenomena (including solar activity) are driven by various kinds of energy transformations. Energy in such transformations is either from gravitational collapse of matter (usually molecular hydrogen) into various classes of astronomical objects (stars, black holes, etc.), or from nuclear fusion (of
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Energy gives rise to weight when it is trapped in a system with zero momentum, where it can be weighed. It is also equivalent to mass, and this mass is always associated with it. Mass is also equivalent to a certain amount of energy, and likewise always appears associated with it, as described in
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Energy and mass are manifestations of one and the same underlying physical property of a system. This property is responsible for the inertia and strength of gravitational interaction of the system ("mass manifestations"), and is also responsible for the potential ability of the system to perform
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In processes where heat is generated, quantum states of lower energy, present as possible excitations in fields between atoms, act as a reservoir for part of the energy, from which it cannot be recovered, in order to be converted with 100% efficiency into other forms of energy. In this case, the
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Conversely, the mass equivalent of an everyday amount energy is minuscule, which is why a loss of energy (loss of mass) from most systems is difficult to measure on a weighing scale, unless the energy loss is very large. Examples of large transformations between rest energy (of matter) and other
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which accounts for its temperature and climate stability. Sunlight may be stored as gravitational potential energy after it strikes the Earth, as (for example when) water evaporates from oceans and is deposited upon mountains (where, after being released at a hydroelectric dam, it can be used to
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states that energy (and matter) tends to become more evenly spread out across the universe: to concentrate energy (or matter) in one specific place, it is necessary to spread out a greater amount of energy (as heat) across the remainder of the universe ("the surroundings"). Simpler organisms can
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is extremely large relative to ordinary human scales, the conversion of an everyday amount of rest mass (for example, 1 kg) from rest energy to other forms of energy (such as kinetic energy, thermal energy, or the radiant energy carried by light and other radiation) can liberate tremendous
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is an attribute of a substance as a consequence of its atomic, molecular, or aggregate structure. Since a chemical transformation is accompanied by a change in one or more of these kinds of structure, it is usually accompanied by a decrease, and sometimes an increase, of the total energy of the
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In 1843, James Prescott Joule independently discovered the mechanical equivalent in a series of experiments. The most famous of them used the "Joule apparatus": a descending weight, attached to a string, caused rotation of a paddle immersed in water, practically insulated from heat transfer. It
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For example, if our bodies run (on average) at 80 watts, then a light bulb running at 100 watts is running at 1.25 human equivalents (100 Ă· 80) i.e. 1.25 H-e. For a difficult task of only a few seconds' duration, a person can put out thousands of watts, many times the 746 watts in one official
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energy must partly stay as thermal energy and cannot be completely recovered as usable energy, except at the price of an increase in some other kind of heat-like increase in disorder in quantum states, in the universe (such as an expansion of matter, or a randomization in a crystal).
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equates the energy operator to the full energy of a particle or a system. Its results can be considered as a definition of measurement of energy in quantum mechanics. The Schrödinger equation describes the space- and time-dependence of a slowly changing (non-relativistic)
4779:) considerations. In practice all energy transformations are permitted on a small scale, but certain larger transformations are not permitted because it is statistically unlikely that energy or matter will randomly move into more concentrated forms or smaller spaces. 2413:
was conserved. To account for slowing due to friction, Leibniz theorized that thermal energy consisted of the motions of the constituent parts of matter, although it would be more than a century until this was generally accepted. The modern analog of this property,
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of time, a property of most phenomena below the cosmic scale that makes them independent of their locations on the time coordinate. Put differently, yesterday, today, and tomorrow are physically indistinguishable. This is because energy is the quantity which is
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can gain or lose energy in association with matter transfer (this process is illustrated by injection of an air-fuel mixture into a car engine, a system which gains in energy thereby, without addition of either work or heat). Denoting this energy by
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substances involved. Some energy may be transferred between the surroundings and the reactants in the form of heat or light; thus the products of a reaction have sometimes more but usually less energy than the reactants. A reaction is said to be
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to other forms of energy; its total mass does not decrease due to that itself (since it still contains the same total energy even in different forms) but its mass does decrease when the energy escapes out to its surroundings, largely as
5451:, whenever present. For example, a compressed spring will be slightly more massive than before it was compressed. Likewise, whenever energy is transferred between systems by any mechanism, an associated mass is transferred with it. 5322:
As the universe evolves with time, more and more of its energy becomes trapped in irreversible states (i.e., as heat or as other kinds of increases in disorder). This has led to the hypothesis of the inevitable thermodynamic
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While these two categories are sufficient to describe all forms of energy, it is often convenient to refer to particular combinations of potential and kinetic energy as its own form. For example, the sum of translational and
5972:) is always conserved and that heat flow is a form of energy transfer. For homogeneous systems, with a well-defined temperature and pressure, a commonly used corollary of the first law is that, for a system subject only to 3548:. For example, consider a ball being hit by a bat. In the center-of-mass reference frame, the bat does no work on the ball. But, in the reference frame of the person swinging the bat, considerable work is done on the ball. 3746:
All living creatures rely on an external source of energy to be able to grow and reproduce – radiant energy from the Sun in the case of green plants and chemical energy (in some form) in the case of animals. The daily
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manage higher efficiencies. In growing organisms the energy that is converted to heat serves a vital purpose, as it allows the organism tissue to be highly ordered with regard to the molecules it is built from. The
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that are not available to their simpler brethren. The conversion of a portion of the chemical energy to heat at each step in a metabolic pathway is the physical reason behind the pyramid of biomass observed in
4051: 3559:. The classical equations of motion can be written in terms of the Hamiltonian, even for highly complex or abstract systems. These classical equations have direct analogs in nonrelativistic quantum mechanics. 4810:, a process in which energy is released that was originally stored in these heavy elements, before they were incorporated into the Solar System and the Earth. This energy is triggered and released in nuclear 6035: 2721: 5505: 4542:
annihilation, in which the rest energy of these two individual particles (equivalent to their rest mass) is converted to the radiant energy of the photons produced in the process. In this system the
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it is entirely kinetic, and at two points it is entirely potential. Over a whole cycle, or over many cycles, average energy is equally split between kinetic and potential. This is an example of the
6082:-work. The general formulation of the first law (i.e., conservation of energy) is valid even in situations in which the system is not homogeneous. For these cases the change in internal energy of a 3913: 1510: 4075:
The rest of the chemical energy of the carbohydrate or fat are converted into heat: the ATP is used as a sort of "energy currency", and some of the chemical energy it contains is used for other
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that are the same as existing states), then total energy spreads over all available degrees equally without distinction between "new" and "old" degrees. This mathematical result is part of the
2339: 6130: 5924: 5164: 5003: 4771:. However, some energy transformations can be quite efficient. The direction of transformations in energy (what kind of energy is transformed to what other kind) is often determined by 4786:, being "released" (transformed to more active types of energy such as kinetic or radiant energy) when a triggering mechanism is available. Familiar examples of such processes include 3680:, energy is an attribute of all biological systems, from the biosphere to the smallest living organism. Within an organism it is responsible for growth and development of a biological 5111: 4309:. In the solution of the Schrödinger equation for any oscillator (vibrator) and for electromagnetic waves in a vacuum, the resulting energy states are related to the frequency by 5624:
Energy is strictly conserved and is also locally conserved wherever it can be defined. In thermodynamics, for closed systems, the process of energy transfer is described by the
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may be converted to other forms of energy (still exhibiting mass), but neither energy nor mass can be destroyed; rather, both remain constant during any process. However, since
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Each of the basic forces of nature is associated with a different type of potential energy, and all types of potential energy (like all other types of energy) appear as system
4475: 2745: 5277: 6422:), it can often be harnessed to do useful work in subsequent interactions. However, the maximum energy that can be "recycled" from such recovery processes is limited by the 5668: 2392:
in the 4th century BC. In contrast to the modern definition, energeia was a qualitative philosophical concept, broad enough to include ideas such as happiness and pleasure.
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the potential energy. Usually, the Lagrange formalism is mathematically more convenient than the Hamiltonian for non-conservative systems (such as systems with friction).
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work on the object which transforms the potential energy in the gravitational field to the kinetic energy released as heat on impact with the ground. The Sun transforms
3570:. This formalism is as fundamental as the Hamiltonian, and both can be used to derive the equations of motion or be derived from them. It was invented in the context of 1042: 995: 910: 863: 775: 728: 6405:
are another example of highly ordered systems that exist in nature: in this case too, the order is associated with the transfer of a large amount of heat (known as the
5058: 2526:, the conservation of energy is a consequence of the fact that the laws of physics do not change over time. Thus, since 1918, theorists have understood that the law of 6179: 6156: 946: 814: 4340: 1180: 5423:
also a global law of conservation of energy, stating that the total energy of the universe cannot change; this is a corollary of the local law, but not vice versa.
5243: 4922:, energy cannot be created or destroyed; therefore, the initial energy and the final energy will be equal to each other. This can be demonstrated by the following: 4916: 4889: 4528: 4561:
serves as the source term for the gravitational field, in rough analogy to the way mass serves as the source term in the non-relativistic Newtonian approximation.
4384: 6232:. For non-equilibrium systems, the laws governing the systems' behavior are still debatable. One of the guiding principles for these systems is the principle of 679: 5764: 5744: 5724: 5704: 4360: 3523: 1018: 971: 886: 839: 751: 704: 2588:
done) in applying a force of one newton through a distance of one metre. However energy is also expressed in many other units not part of the SI, such as
5402:, governing all natural phenomena that are known to date. There is no known exception to this law – it is exact so far as we know. The law is called the 3917: 2550:
Joule's apparatus for measuring the mechanical equivalent of heat. A descending weight attached to a string causes a paddle immersed in water to rotate.
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forces and heat transfer (e.g., a cylinder-full of gas) without chemical changes, the differential change in the internal energy of the system (with a
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While heat can always be fully converted into work in a reversible isothermal expansion of an ideal gas, for cyclic processes of practical interest in
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is positive when heat is added to the system), and the last term on the right hand side is identified as work done on the system, where pressure is
1820: 6687: 6889: 6922: 4422:: energy which every massive body must possess even when being at rest. The amount of energy is directly proportional to the mass of the body: 1521: 2432: 5956:
is chiefly concerned with changes in internal energy and not its absolute value, which is impossible to determine with thermodynamics alone.
3411: 2624: 1409: 4418:– Einstein discovered an unexpected by-product of these calculations to be an energy term which does not vanish at zero speed. He called it 3797: 2248:
potential energy due to the deformation of a material (or its container) exhibiting a restorative force as it returns to its original shape
6763: 6439:, but it is very common to simplify the interaction by ignoring the mechanism of collision and just calculate the beginning and end result. 6385:
These examples are solely for illustration, as it is not the energy available for work which limits the performance of the athlete but the
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Energy transformations in the universe over time are characterized by various kinds of potential energy, that has been available since the
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of quantum systems. The solution of this equation for a bound system is discrete (a set of permitted states, each characterized by an
3712:(H-e) (Human energy conversion) indicates, for a given amount of energy expenditure, the relative quantity of energy needed for human 5331:, or be transformed to other usable forms of energy (through the use of generators attached to heat engines), continues to decrease. 1844: 1499: 5327:. In this heat death the energy of the universe does not change, but the fraction of energy which is available to do work through a 5986: 3092: 7397: 6209:: the total energy of a system with many degrees of freedom is equally split among all available degrees of freedom, on average. 4930: 3635:
by the Boltzmann's population factor e; that is, the probability of a molecule to have energy greater than or equal to 
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the source system does on the receiving system. The portion of the energy which does not do work during the transfer is called
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and energy within the concept of special relativity. In different theoretical frameworks, similar formulas were derived by
4764: 1813: 1400: 1069: 636: 514: 5766:, can sometimes be ignored, especially for fast processes involving gases, which are poor conductors of heat, or when the 2409:, or living force, which defined as the product of the mass of an object and its velocity squared; he believed that total 9890: 8203: 6828: 6599: 6220:
of energy between parts of a system. When an isolated system is given more degrees of freedom (i.e., given new available
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without such limitations. The total energy of a system can be calculated by adding up all forms of energy in the system.
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This equation is highly specific, ignoring all chemical, electrical, nuclear, and gravitational forces, effects such as
4427: 1584: 1558: 1079: 533: 166: 9699: 7246: 7184: 6954: 6449: 6092: 6067:(the negative sign results since compression of the system requires work to be done on it and so the volume change, d 5878: 3404: 485: 5295:. Often, however, the complete conversion of matter (such as atoms) to non-matter (such as photons) is forbidden by 9323: 8358: 8144: 7060:
Martyushev, L.M.; Seleznev, V.D. (2006). "Maximum entropy production principle in physics, chemistry and biology".
5511: 4136:, 64.3 Pg/a (52%) are used for the metabolism of green plants, i.e. reconverted into carbon dioxide and heat. 1637: 1108: 507: 6261: 6212:
This principle is vitally important to understanding the behavior of a quantity closely related to energy, called
5116: 3366: 8776: 5414: 5208: 4285: 4083:, some chemical energy is converted into heat). Only a tiny fraction of the original chemical energy is used for 3751:(6–8 MJ) recommended for a human adult are taken as food molecules, mostly carbohydrates and fats, of which 2740: 2272:
kinetic and potential energy in a material due to a sound propagated wave (a particular type of mechanical wave)
1806: 4554:– in which the rest mass of particles is created from the radiant energy of two (or more) annihilating photons. 8154: 4842: 4716: 2995: 2735: 1737: 269: 2093:
reflects the potential of an object to have motion, generally being based upon the object's position within a
1632: 8840: 7365: 5380:. This creates a limit to the amount of heat energy that can do work in a cyclic process, a limit called the 2577: 2460: 2369: 1909: 1712: 1485: 462: 7288: 5063: 4260:
of hydrogen in the Sun also releases another store of potential energy which was created at the time of the
4225: 2615:, which is a joule per second. Thus, one joule is one watt-second, and 3600 joules equal one watt-hour. The 9875: 9392: 9227: 8324: 7684: 7218: 6423: 6335: 6233: 6225: 5373: 4768: 4696: 4585: 4111: 4102: 3397: 3384: 3145: 3068: 2990: 2833: 1097: 300: 290: 9716: 8449: 8443: 8243: 7502: 7390: 5965: 5625: 5350: 5176: 4641: 4386:
the frequency). In the case of an electromagnetic wave these energy states are called quanta of light or
3647:. The activation energy necessary for a chemical reaction can be provided in the form of thermal energy. 3064: 2865: 305: 295: 6713: 2843: 30:
This article is about the scalar physical quantity. For an overview of and topical guide to energy, see
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Global Mapping of Terrestrial Primary Productivity and Light-Use Efficiency with a Process-Based Model.
6217: 5846: 5839: 5605:. Energy can be transferred between systems in a variety of ways. Examples include the transmission of 5324: 4918:) and then back to potential energy constantly. This is referred to as conservation of energy. In this 3284: 3173: 3099: 2959: 2892: 2490:
These developments led to the theory of conservation of energy, formalized largely by William Thomson (
1589: 1553: 331: 265: 190: 42: 17: 6683: 6236:. It states that nonequilibrium systems behave in such a way as to maximize their entropy production. 4164:
are phenomena that can be explained in terms of energy transformations in the Earth's interior, while
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gain in gravitational potential energy of a 150 kg weight lifted through 2 metres: 3 kJ
1627: 9870: 9264: 8149: 8007: 7669: 7614: 7594: 7589: 7202: 6893: 5969: 5537:. The exchange of virtual particles with real particles is responsible for the creation of all known 5249: 3038: 2286: 2031: 1948: 1382: 1130: 576: 389: 379: 6914: 5636: 2436:, which represented the first formulation of a conserved measurable quantity that was distinct from 2109:, whereas nuclear energy refers to the combined potentials within an atomic nucleus from either the 9249: 8078: 7422: 6320: 5578: 5542: 5444:– rather it provides mathematical limits to which energy can in principle be defined and measured. 4748: 4558: 4192: 3689: 3609:
if the final state is lower on the energy scale than the initial state; in the less common case of
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where the first term on the right is the heat transferred into the system, expressed in terms of
4411: 3552: 3264: 3028: 2423: 1794: 1622: 1419: 1300: 1245: 1190: 1122: 1061: 597: 586: 252: 35: 6759: 6473: 5113:(half mass times velocity squared). Then the total amount of energy can be found by adding 4293: 4145: 4115:
achieve higher energy efficiencies than more complex ones, but the complex organisms can occupy
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when ATP reacts with OH groups and eventually splits into ADP and phosphate (at each stage of a
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In classical mechanics, energy is a conceptually and mathematically useful property, as it is a
3304: 1024: 977: 892: 845: 757: 710: 9827: 9670: 9542: 7751: 7647: 7574: 7564: 7445: 7383: 6650:(2 ed.). Milton, Queensland, Australia: John Wiley & Sons Australia Ltd. p. 286. 6325: 5606: 5431: 5404: 5346: 5340: 5024: 4791: 4058: 3556: 3309: 3126: 2531: 2527: 2468: 2427: 2360: 2202: 1928: 1893: 1837: 1727: 1444: 528: 282: 257: 183: 7193:
issue, covers virtually every major concern and concept since debated regarding materials and
6944: 6561: 6228:. The second law of thermodynamics is simple only for systems which are near or in a physical 6161: 6138: 5204: 4565:
work or heating ("energy manifestations"), subject to the limitations of other physical laws.
1647: 928: 793: 9624: 9619: 9414: 9355: 7691: 7482: 6360: 5598: 5358: 4692: 4625: 4609: 4316: 4054: 3574:, but is generally useful in modern physics. The Lagrangian is defined as the kinetic energy 3567: 3319: 3294: 2980: 2798: 2086: 1897: 1877: 1662: 1239: 552: 398: 247: 4857:
or other losses, the conversion of energy between these processes would be perfect, and the
1150: 9818: 9790: 9755: 9682: 9482: 9419: 9237: 9058: 8351: 8139: 8112: 8090: 7997: 7930: 7679: 7609: 7554: 7108: 7069: 7032: 6735: 6503: 6365: 6295: 5459: 5427: 5312: 5221: 4894: 4867: 4506: 4310: 3717: 3581: 3563: 3339: 3299: 3207: 3203: 3195: 3185: 2975: 2968: 2724: 2644: 2597: 2523: 2503: 2484: 2168: 1956: 1742: 1667: 1657: 457: 319: 130: 6849: 4369: 3716:, using as a standard an average human energy expenditure of 12,500 kJ per day and a 3334: 8: 9813: 9721: 9709: 9599: 9552: 9360: 9283: 9009: 8800: 8562: 8497: 8218: 8161: 8083: 8056: 7741: 7604: 7579: 7237: 7189: 7175: 7097:"Self-Assembled Wiggling Nano-Structures and the Principle of Maximum Entropy Production" 6350: 6190: 5566: 5558: 5522:
are not dynamically conjugate variables, neither in classical nor in quantum mechanics).
5441: 5436: 4573: 4415: 3610: 3571: 3114: 3055: 3033: 2778: 2773: 2768: 2668: 2535: 2383: 1687: 1449: 471: 437: 432: 345: 146: 7112: 7073: 7036: 6890:"E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws" 5746:
represents the heat flow into or out of the system. As a simplification, the heat term,
3442:. Several formulations of mechanics have been developed using energy as a core concept. 2546: 2388:'activity, operation', which possibly appears for the first time in the work of 1682: 661: 9823: 9808: 9738: 9694: 9584: 9170: 9075: 8830: 8198: 8176: 8166: 8002: 7129: 7096: 6811:
Berkeley Physics Course Volume 1. Charles Kittel, Walter D Knight and Malvin A Ruderman
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equal amount of energy in transit due to a displacement in the direction of an applied
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provides the energy required for human civilization to function, which it obtains from
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are usually not possible unless the reactants surmount an energy barrier known as the
2498:. Thermodynamics aided the rapid development of explanations of chemical processes by 9885: 9795: 9259: 9165: 9138: 8985: 8935: 8871: 8825: 8307: 8100: 7925: 7786: 7746: 7716: 7701: 7674: 7584: 7487: 7427: 7417: 7325: 7306: 7254: 7242: 7180: 7134: 6999: 6950: 6857: 6792: 6651: 6626: 6540: 6520: 6229: 5771: 5530: 5455: 5192: 4569: 4281: 4200: 4149: 4080: 3620: 3616: 3254: 3211: 3168: 3163: 3104: 2880: 2870: 2763: 2396: 2335: 2188: 2148: 2134: 2106: 2102: 2018: 2007: 1940: 1861: 1858: 1771: 1732: 1722: 1294: 1092: 920: 422: 412: 354: 69: 31: 5968:
asserts that the total energy of a system and its surroundings (but not necessarily
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forms of energy (e.g., kinetic energy into particles with rest mass) are found in
4790:, a process ultimately using the gravitational potential energy released from the 2121:
Some forms of energy (that an object or system can have as a measurable property)
2081:, or combinations of the two in various ways. Kinetic energy is determined by the 9880: 9762: 9728: 9614: 9594: 9504: 9153: 9119: 9053: 8850: 8835: 8750: 8625: 8580: 8474: 8469: 8459: 8344: 8288: 8269: 8183: 7950: 7865: 7721: 7711: 7696: 7654: 7559: 7509: 7460: 7369: 7295: 7194: 6832: 6742: 6623:
The Science of Energy – a Cultural History of Energy Physics in Victorian Britain
6390: 6386: 6355: 6310: 5952: 5550: 5546: 5391: 5288: 5280: 5188: 4919: 4787: 4743: 4728: 4712: 4708: 4684: 4616: 4399: 4363: 4275: 4245: 4204: 4129: 3597: 3545: 3541: 3429: 3344: 3289: 3239: 3234: 3153: 2581: 2566: 2555: 2499: 2475:. It was argued for some years whether heat was a physical substance, dubbed the 2472: 2253: 2178: 2158: 2094: 1987: 1952: 1936: 1873: 1642: 1490: 1144: 785: 608: 369: 336: 3643:. This exponential dependence of a reaction rate on temperature is known as the 2519: 9803: 9750: 9660: 9579: 9564: 9559: 9511: 9399: 9195: 9143: 9126: 8960: 8264: 8213: 8188: 7992: 7957: 7890: 7880: 7796: 7776: 7771: 7756: 7726: 7706: 7664: 7642: 7624: 7524: 7514: 7450: 7158: 6406: 6267: 6194: 5618: 5610: 5385: 5345:
The fact that energy can be neither created nor destroyed is called the law of
4846: 4838: 4827: 4823: 4760: 4753: 4720: 4653: 4581: 4498: 4257: 4212: 4133: 4084: 3784: 3732: 3705: 3681: 3445: 3433: 3371: 3279: 3180: 2897: 2585: 2515: 2507: 2495: 2476: 2456: 2415: 2400: 2307: 2277: 2243: 2229: 2215: 2208: 2194: 2078: 2058: 2054: 2043: 1944: 1932: 1920: 1697: 1467: 567: 447: 384: 374: 242: 212: 85: 6823: 9864: 9767: 9604: 9494: 9451: 9232: 9109: 8995: 8945: 8809: 8434: 8312: 8171: 8131: 8095: 8051: 7977: 7940: 7858: 7781: 7549: 7544: 7497: 7477: 6524: 6340: 6305: 6253: 5590: 5562: 5354: 4807: 4597: 4551: 4298: 4289: 3792: 3670: 3656: 3526: 3259: 3086: 2601: 2282: 2110: 1869: 1766: 1084: 653: 614: 326: 126: 5589:
Energy transfer can be considered for the special case of systems which are
4203:
of atoms in the core of the Earth releases heat. This thermal energy drives
3593: 9569: 9527: 9303: 9254: 9190: 9046: 8950: 8658: 8644: 8068: 8012: 7962: 7945: 7766: 7539: 7472: 7138: 7045: 7020: 6221: 5196: 4811: 4302: 4185: 4105:
in their use of the energy they receive (chemical or radiant energy); most
3693: 3324: 3249: 2938: 2818: 2636: 2632: 2344: 2267: 2039: 2035: 1999: 1717: 1702: 1652: 1135: 154: 138: 65: 6646:
Lofts, G; O'Keeffe D; et al. (2004). "11 – Mechanical Interactions".
5593:
to transfers of matter. The portion of the energy which is transferred by
4249: 2323:
motion of particles, a kind of disordered equivalent of mechanical energy
9665: 9609: 9431: 9409: 9404: 9271: 9148: 9114: 9102: 8990: 8913: 8617: 8492: 8073: 8039: 7913: 7903: 7846: 7829: 7814: 7761: 7659: 6562:"Nuclear Energy | Definition, Formula & Examples | nuclear-power.com" 6042: 5369: 5328: 4736: 4645: 4419: 4165: 3748: 3660: 2640: 2605: 2491: 2320: 2297: 2259: 2258:
kinetic and potential energy in an elastic material due to a propagating
2140: 1995: 1960: 1905: 1672: 480: 6532: 6498: 4248:
are the universe's highest-output energy transformations of matter. All
4091:
gain in kinetic energy of a sprinter during a 100 m race: 4 kJ
3677: 2487:
discovered the link between mechanical work and the generation of heat.
2471:
was also first postulated in the early 19th century, and applies to any
2057:
is energy of microscopic constituents of matter, which may include both
9772: 9589: 9547: 9489: 9458: 9097: 9029: 8967: 8940: 8903: 8709: 8590: 8107: 8029: 7967: 7935: 7875: 7569: 7198: 6419: 6290: 5426:
This law is a fundamental principle of physics. As shown rigorously by
5377: 4700: 4547: 4208: 4181: 4161: 4125: 4076: 3736: 3713: 3109: 2783: 2628: 2340:
timeline of thermodynamics, statistical mechanics, and random processes
2114: 1761: 1707: 7120: 6673:
MIT OpenCourseWare website 18.013A Chapter 16.3 Accessed February 2007
6418:
Although heat is "wasted" energy for a specific energy transfer (see:
4759:
There are strict limits to how efficiently heat can be converted into
9655: 9537: 9345: 9340: 9318: 9207: 9200: 9019: 9014: 8921: 8898: 8668: 8630: 8585: 8575: 8515: 8336: 8117: 8044: 7918: 7898: 7870: 7809: 7169: 6202: 6075: 4795: 4619:
of energy ("energy in transit") from one object or system to another
4593: 4488: 4237: 3685: 3606: 3495:{\displaystyle W=\int _{C}\mathbf {F} \cdot \mathrm {d} \mathbf {s} } 3425: 3131: 2643:(based on the temperature change of water in a heating process), and 2389: 2027: 2023: 1979: 1964: 1850: 359: 8761: 6787:
Misner, Charles W.; Thorne, Kip S.; Wheeler, John Archibald (1973).
6275: 5169: 4588:). In other words, energy is invariant with respect to rotations of 2303: 9782: 9350: 9276: 9217: 9212: 9160: 9070: 9041: 9034: 9024: 8955: 8929: 8925: 8917: 8719: 8663: 8595: 8530: 8416: 8404: 8376: 7853: 7834: 7819: 7519: 7303:
Energy in nature and society: general energetics of complex systems
7210: 6435:
The mechanism for most macroscopic physical collisions is actually
5973: 5534: 4858: 4854: 4834: 4783: 4679: 4539: 4535: 4261: 4153: 4046:{\displaystyle {\ce {C57H110O6 + (81 1/2) O2 -> 57CO2 + 55H2O}}} 3050: 2933: 2908: 2570: 2480: 2437: 2405: 2376: 2211: 2034:
is converted into the same amount of energy in other forms, mostly
1475: 1392: 1184: 592: 364: 7361: 4814:
or in civil nuclear power generation. Similarly, in the case of a
4687:
transforms the energy of pressurized steam into electrical energy.
3665: 2580:(SI), the unit of energy is the joule, named after Joule. It is a 9650: 9446: 9441: 9387: 9293: 9222: 9065: 8866: 8714: 8702: 8640: 8570: 8545: 8505: 8484: 8454: 7987: 7529: 7346: 6402: 6247: 6213: 6049: 4803: 4799: 4772: 4724: 4306: 4211:. This slow lifting represents a kind of gravitational potential 4173: 4157: 4121: 4106: 3768: 3752: 3701: 3023: 2876: 2793: 2593: 2511: 2430:
in the marginalia of her French language translation of Newton's
1975: 581: 134: 109: 6835:
including careful definitions of energy, free energy, et cetera.
5577:"Energy transfer" redirects here. For the pipeline company, see 5357:'s energy is constant unless energy is transferred in or out as 5302: 2608:, which require a conversion factor when expressed in SI units. 2050: 9499: 9464: 9288: 9244: 9092: 8697: 8690: 8399: 8368: 7534: 6452:. Here, the signs in this equation follow the IUPAC convention. 5549:
are also responsible for the electrostatic interaction between
5215: 4670: 4543: 4387: 4241: 3740: 3082: 2928: 2351:, the first person to use the term "energy" in the modern sense 2236: 2105:
kinetic and potential energy within a system is referred to as
2070: 1901: 5561:
radiative decay of excited atomic and nuclear states, for the
5430:, the conservation of energy is a mathematical consequence of 5376:
states that the system doing work always loses some energy as
5060:(mass times acceleration due to gravity times the height) and 3783:) are convenient examples. The food molecules are oxidized to 2510:. It also led to a mathematical formulation of the concept of 9532: 9372: 9298: 9085: 8727: 8685: 8678: 8673: 8510: 8464: 8426: 8384: 7348:
The Journal of Energy History / Revue d'histoire de l'Ă©nergie
6709: 6030:{\displaystyle \mathrm {d} E=T\mathrm {d} S-P\mathrm {d} V\,} 5827: 5307:
Thermodynamics divides energy transformation into two kinds:
4798:
to "store" energy in the creation of heavy isotopes (such as
4659: 4589: 4407: 3697: 3530: 2918: 2913: 2855: 2290: 2232: 1913: 1904:
and energy may also be converted to one another. The unit of
1885: 114: 89: 77: 7283:
Santos, Gildo M. "Energy in Brazil: a historical overview,"
4763:
in a cyclic process, e.g. in a heat engine, as described by
2422:
only by a factor of two. Writing in the early 18th century,
2143:
translational and rotational kinetic and potential energies
9477: 9333: 9328: 9308: 9182: 9133: 8977: 8605: 8540: 8535: 8525: 8520: 8389: 7908: 7841: 7824: 7492: 5602: 5448: 5362: 4635: 4403: 4233: 4229: 4169: 2923: 2886: 2612: 2447:
was possibly the first to use the term "energy" instead of
2374: 2314: 1971: 1927:
stored by an object (for instance due to its position in a
1881: 557: 81: 5462:. On any time scales, the uncertainty in the energy is by 2173:
potential energy due to or stored in gravitational fields
9436: 9080: 7375: 7320:
Walding, Richard; Rapkins, Greg; Rossiter, Glenn (1999).
5726:  represents the work done on or by the system, and 5529:, this inequality permits a qualitative understanding of 5514:(but not really mathematically equivalent thereto, since 4036: 4016: 3996: 3958: 3945: 3932: 3898: 3878: 3858: 3838: 3825: 3812: 2716:{\displaystyle {\textbf {F}}={\frac {d\mathbf {p} }{dt}}} 2620: 2611:
The SI unit of energy rate (energy per unit time) is the
2589: 142: 5980:
in energy signified by a positive quantity) is given as
5500:{\displaystyle \Delta E\Delta t\geq {\frac {\hbar }{2}}} 3727:
Sunlight's radiant energy is also captured by plants as
5826:
This simplified equation is the one used to define the
3908:{\displaystyle {\ce {C6H12O6 + 6O2 -> 6CO2 + 6H2O}}} 5066: 4699:. Items that transform between these forms are called 3972: 6747:
Global Environmental Change in the Ocean and on Land.
6164: 6141: 6095: 5989: 5881: 5849: 5785: 5752: 5732: 5712: 5692: 5639: 5471: 5252: 5224: 5214:
Part of the rest energy (equivalent to rest mass) of
5119: 5027: 4933: 4897: 4870: 4742:
Examples of energy transformation include generating
4509: 4430: 4372: 4348: 4319: 4128:: of the estimated 124.7 Pg/a of carbon that is 4101:
It would appear that living organisms are remarkably
3920: 3800: 3551:
The total energy of a system is sometimes called the
3511: 3457: 2680: 2163:
potential energy due to or stored in magnetic fields
2153:
potential energy due to or stored in electric fields
1303: 1248: 1193: 1153: 1027: 1006: 980: 959: 931: 895: 874: 848: 827: 796: 760: 739: 713: 692: 664: 6982:
Chemical Thermodynamics – Basic Concepts and Methods
6243: 4853:. If one (unrealistically) assumes that there is no 4124:. As an example, to take just the first step in the 3627:
of a chemical reaction (at a given temperature 
2647:
are used in specific areas of science and commerce.
6786: 6645: 1974:constantly take in and release energy. The Earth's 7241:Book), San Francisco, W.H. Freeman and Co., 1971, 7179:Book), San Francisco, W.H. Freeman and Co., 1970, 7059: 6993: 6173: 6150: 6124: 6029: 5918: 5862: 5802: 5758: 5738: 5718: 5698: 5662: 5499: 5271: 5237: 5158: 5105: 5052: 5021:The equation can then be simplified further since 4997: 4910: 4883: 4864:Energy is also transferred from potential energy ( 4849:is at its maximum and is equal to the decrease in 4522: 4469: 4378: 4354: 4334: 4180:are all a result of energy transformations in our 4045: 3907: 3517: 3494: 2715: 2565:lost by the weight in descending was equal to the 1339: 1284: 1229: 1174: 1036: 1012: 989: 965: 940: 904: 880: 857: 833: 808: 769: 745: 722: 698: 673: 7324:. Melbourne, Australia: Oxford University Press. 6707:Bicycle calculator – speed, weight, wattage etc. 5170:Conservation of energy and mass in transformation 4592:, but not invariant with respect to rotations of 3448:, a function of energy, is force times distance. 9862: 7021:"Reciprocal relations in irreversible processes" 6071:, is negative when work is done on the system). 5609:via photons, physical collisions which transfer 5279:joules = 21 megatons of TNT), as can be seen in 4097:Daily food intake of a normal adult: 6–8 MJ 41:"Energetic" redirects here. For other uses, see 6125:{\displaystyle \mathrm {d} E=\delta Q+\delta W} 5919:{\displaystyle \Delta E=W+Q+E_{\text{matter}}.} 4410:to some finite speed) relativistically – using 2514:by Clausius and to the introduction of laws of 6892:. UCLA Physics & Astronomy. Archived from 6819: 6817: 5959: 2530:is the direct mathematical consequence of the 8777: 8352: 7391: 6943:Jaffe, Robert L.; Taylor, Washington (2018). 5303:Reversible and non-reversible transformations 3562:Another energy-related concept is called the 3405: 1814: 6055:(in which entropy increases and its change d 5159:{\displaystyle E_{p}+E_{k}=E_{\text{total}}} 2459:" in 1829 in its modern sense, and in 1853, 2440:, and which would later be called "energy". 2285:stored in the fields of waves propagated by 7362:Differences between Heat and Thermal energy 7217:. Fullerton, California: Light and Matter. 6949:. Cambridge University Press. p. 611. 6942: 6814: 5191:(1905) quantifies the relationship between 4998:{\displaystyle E_{pi}+E_{ki}=E_{pF}+E_{kF}} 4845:is at its maximum. At its lowest point the 3631:) is related to the activation energy  2097:or what is stored within the field itself. 8784: 8770: 8359: 8345: 7398: 7384: 6184: 6078:of any form of energy other than heat and 5838:Beyond the constraints of closed systems, 4673:that is moving from one system to another 4288:(Hamiltonian) as a time derivative of the 4053:and some of the energy is used to convert 3412: 3398: 1821: 1807: 219: 58: 7128: 7094: 7044: 6854:The Feynman Lectures on Physics; Volume 1 6496: 6086:system is expressed in a general form by 6026: 5334: 4775:(equal energy spread among all available 4644:in transit spontaneously towards a lower- 4025: 4005: 3971: 3887: 3867: 3847: 3688:of a biological organism. Energy used in 2584:that is equal to the energy expended (or 2479:, or merely a physical quantity, such as 6734:Ito, Akihito; Oikawa, Takehisa (2004). " 6216:. Entropy is a measure of evenness of a 4678: 4580:energy is also a scalar (although not a 3664: 3613:reactions the situation is the reverse. 2545: 2343: 2049: 2017: 7018: 6847: 6843: 6841: 6639: 6389:output (in case of a sprinter) and the 6158:is the heat supplied to the system and 5106:{\textstyle E_{k}={\frac {1}{2}}mv^{2}} 4253:lighter elements, primarily hydrogen). 2183:potential energy due to chemical bonds 1900:in form, but not created or destroyed; 14: 9863: 8366: 8018:Integrated gasification combined cycle 6782: 6780: 6331:List of low-energy building techniques 2655: 2073:can be subdivided and classified into 8791: 8765: 8340: 8062:Radioisotope thermoelectric generator 7737:Quantum chromodynamics binding energy 7379: 6974: 6887: 6620: 6602:from the original on October 11, 2007 5706:is the amount of energy transferred, 5569:and some other observable phenomena. 4723:of moving water (and the blades of a 3094:Newton's law of universal gravitation 1876:, recognizable in the performance of 8295: 6838: 6193:(a mass on a spring) is alternately 5872: 5776: 5630: 4924: 4703:. Examples of transducers include a 4284:, energy is defined in terms of the 4269: 2197:an electron to its atom or molecule 1865: 8319: 8204:World energy supply and consumption 6777: 6625:. The University of Chicago Press. 6201:. At two points in the oscillation 6181:is the work applied to the system. 5597:over a distance is measured as the 5398:There is a fact, or if you wish, a 4695:between different forms at various 4572:, energy is a scalar quantity, the 4103:inefficient (in the physical sense) 3075:Mechanics of planar particle motion 2683: 2541: 2089:of the object's components – while 24: 7271:from the original on 26 April 2011 7149: 6987: 6589: 6450:sign conventions for this equation 6097: 6019: 6005: 5991: 5947: 5882: 5786: 5770:of the transfer is high. For such 5640: 5572: 5478: 5472: 4669:equal amount of energy carried by 4305:) which results in the concept of 3483: 1982:processes are driven primarily by 1028: 981: 896: 849: 761: 714: 534:Intensive and extensive properties 25: 9902: 7355: 6499:"SCIENCE 101: Q: What Is Energy?" 5942: 5863:{\displaystyle E_{\text{matter}}} 5617:, and the conductive transfer of 5584: 4861:would continue swinging forever. 4833:Yet another example is that of a 4603: 4470:{\displaystyle E_{0}=m_{0}c^{2},} 4398:When calculating kinetic energy ( 4139: 3544:article. Work and thus energy is 2650: 2631:. Other energy units such as the 9845: 9844: 8746: 8745: 8318: 8306: 8294: 8283: 8282: 6274: 6260: 6246: 5512:Heisenberg Uncertainty Principle 5510:which is similar in form to the 3692:is stored in substances such as 3488: 3475: 3379: 3378: 3365: 2698: 1790: 1789: 1109:Table of thermodynamic equations 7253:Ross, John S. (23 April 2002). 7221:from the original on 2011-05-19 7187:. This book, originally a 1970 7088: 7053: 7012: 6963:from the original on 2022-07-30 6936: 6925:from the original on 2011-07-17 6907: 6881: 6870:from the original on 2022-07-30 6850:"Ch. 4: Conservation of Energy" 6805: 6791:. San Francisco: W.H. Freeman. 6766:from the original on 2008-08-27 6752: 6745:" in Shiyomi, M. et al. (Eds.) 6728: 6716:from the original on 2009-05-13 6690:from the original on 2010-06-04 6572:from the original on 2022-07-06 6442: 6429: 6412: 6396: 6379: 5833: 5415:The Feynman Lectures on Physics 5272:{\displaystyle 9\times 10^{16}} 5209:Mass–energy equivalence#History 1585:Maxwell's thermodynamic surface 6984:, 7th ed., Wiley (2008), p. 39 6701: 6676: 6664: 6614: 6583: 6554: 6517:10.1080/19434812.2021.12291716 6490: 6466: 5663:{\displaystyle \Delta {}E=W+Q} 5458:energy is expressed using the 4843:gravitational potential energy 4717:gravitational potential energy 4191:Sunlight is the main input to 3999: 3982: 3965: 3861: 2561:showed that the gravitational 1319: 1307: 1264: 1252: 1209: 1197: 1169: 1157: 13: 1: 7285:The Journal of Energy History 7264:. Michigan State University. 7255:"Work, Power, Kinetic Energy" 7095:Belkin, A.; et., al. (2015). 7082:10.1016/j.physrep.2005.12.001 6888:Byers, Nina (December 1996). 6459: 4393: 3001:Koopman–von Neumann mechanics 2578:International System of Units 1910:International System of Units 1486:Mechanical equivalent of heat 8810:Pollution / quality 7305:. Cambridge, US: MIT Press. 6424:second law of thermodynamics 6393:(in case of a weightlifter). 6336:Orders of magnitude (energy) 6226:second law of thermodynamics 5803:{\displaystyle \Delta {}E=W} 5394:said during a 1961 lecture: 5374:second law of thermodynamics 4837:. At its highest points the 4769:second law of thermodynamics 4584:but a time component of the 4219: 4207:and may lift mountains, via 4112:second law of thermodynamics 3639:at a given temperature  3587: 3069:Non-inertial reference frame 2569:gained by the water through 2375: 1963:associated with an object's 1919:Forms of energy include the 1098:Onsager reciprocal relations 7: 7340: 6994:Kittel and Kroemer (1980). 6596:Online Etymology Dictionary 6239: 6189:The energy of a mechanical 5966:first law of thermodynamics 5960:First law of thermodynamics 5932: 5816: 5676: 5351:first law of thermodynamics 5011: 4557:In general relativity, the 4168:phenomena like wind, rain, 2996:Appell's equation of motion 2866:Inertial frame of reference 1984:radiant energy from the sun 1590:Entropy as energy dispersal 1401:"Perpetual motion" machines 1340:{\displaystyle G(T,p)=H-TS} 1285:{\displaystyle A(T,V)=U-TS} 1230:{\displaystyle H(S,p)=U+pV} 10: 9907: 9891:Scalar physical quantities 7405: 7322:New Century Senior Physics 7209:Crowell, Benjamin (2011). 6998:. New York: W.H. Freeman. 6825:The Laws of Thermodynamics 6234:maximum entropy production 5576: 5541:(more accurately known as 5338: 5325:heat death of the universe 5211:for further information). 4607: 4273: 3654: 3650: 3423: 2553: 2395:In the late 17th century, 2364: 2333: 2329: 1935:stored in a solid object, 1896:states that energy can be 1843: 1037:{\displaystyle \partial T} 990:{\displaystyle \partial V} 905:{\displaystyle \partial p} 858:{\displaystyle \partial V} 770:{\displaystyle \partial T} 723:{\displaystyle \partial S} 43:Energetic (disambiguation) 40: 29: 9840: 9781: 9646: 9639: 9520: 9381:Types / location 9380: 9371: 9181: 8976: 8889: 8859: 8808: 8799: 8741: 8654: 8613: 8604: 8561: 8483: 8425: 8375: 8278: 8252: 8128: 8008:Fossil fuel power station 7976: 7889: 7795: 7670:Electric potential energy 7635: 7615:Thermodynamic temperature 7595:Thermodynamic free energy 7590:Thermodynamic equilibrium 7436: 7413: 7203:environmental degradation 7163:. Moscow: Mir Publishers. 6848:Feynman, Richard (1964). 5970:thermodynamic free energy 5053:{\displaystyle E_{p}=mgh} 4822:energy is transformed to 3729:chemical potential energy 3505:This says that the work ( 2625:imperial and US customary 2399:proposed the idea of the 2313: 2296: 2287:electromagnetic radiation 2276: 2266: 2252: 2242: 2222: 2201: 2187: 2177: 2167: 2157: 2147: 2133: 2128: 2125: 2032:electric potential energy 1949:electromagnetic radiation 1857: 'activity') is the 1511:An Inquiry Concerning the 189: 176: 165: 152: 120: 108: 96: 57: 52: 8079:Concentrated solar power 6980:I. Klotz, R. Rosenberg, 6684:"Retrieved on May-29-09" 6497:Bobrowsky, Matt (2021). 6372: 6321:Index of energy articles 6174:{\displaystyle \delta W} 6151:{\displaystyle \delta Q} 5579:Energy Transfer Partners 5543:fundamental interactions 4749:nuclear potential energy 4586:energy–momentum 4-vector 3159:Rotating reference frame 2991:Hamilton–Jacobi equation 2538:to energy, namely time. 2453:Gustave-Gaspard Coriolis 2426:proposed the concept of 2218:(and nuclear reactions) 2117:, among other examples. 2013: 1923:of a moving object, the 1524:Heterogeneous Substances 941:{\displaystyle \alpha =} 809:{\displaystyle \beta =-} 7620:Volume (thermodynamics) 7600:Thermodynamic potential 7503:Mass–energy equivalence 7157:Alekseev, G.N. (1986). 6760:"Earth's Energy Budget" 6621:Smith, Crosbie (1998). 6282:Renewable energy portal 6207:equipartition principle 6185:Equipartition of energy 5207:(1904) and others (see 5177:mass–energy equivalence 4412:Lorentz transformations 4335:{\displaystyle E=h\nu } 4226:cosmology and astronomy 3100:Newton's laws of motion 2960:Newton's laws of motion 2451:, in its modern sense. 36:Energy (disambiguation) 7575:Quantum thermodynamics 7565:Laws of thermodynamics 7446:Conservation of energy 7046:10.1103/PhysRev.37.405 6856:. US: Addison Wesley. 6762:. Okfirst.ocs.ou.edu. 6409:) to the surroundings. 6326:Index of wave articles 6175: 6152: 6126: 6031: 5920: 5864: 5804: 5760: 5740: 5720: 5700: 5664: 5607:electromagnetic energy 5501: 5432:translational symmetry 5420: 5405:conservation of energy 5347:conservation of energy 5341:Conservation of energy 5335:Conservation of energy 5313:irreversible processes 5273: 5239: 5160: 5107: 5054: 4999: 4912: 4885: 4830:in a very short time. 4792:gravitational collapse 4688: 4534:For example, consider 4524: 4471: 4380: 4356: 4336: 4047: 3909: 3708:. In human terms, the 3673: 3557:William Rowan Hamilton 3540:; for details see the 3519: 3496: 3127:Simple harmonic motion 3040:Euler's laws of motion 2834:D'Alembert's principle 2717: 2551: 2532:translational symmetry 2528:conservation of energy 2469:conservation of energy 2428:conservation of energy 2404: 2352: 2319:kinetic energy of the 2228:potential energy that 2207:potential energy that 2193:potential energy that 2085:of an object – or the 2069:The total energy of a 2066: 2047: 1894:conservation of energy 1341: 1286: 1231: 1176: 1175:{\displaystyle U(S,V)} 1038: 1014: 991: 967: 942: 906: 882: 859: 835: 810: 771: 747: 724: 700: 675: 654:Specific heat capacity 258:Quantum thermodynamics 34:. For other uses, see 7692:Interatomic potential 7483:Energy transformation 7301:Smil, Vaclav (2008). 6946:The Physics of Energy 6474:"Earth's energy flow" 6361:Waste-to-energy plant 6176: 6153: 6127: 6032: 5921: 5865: 5805: 5761: 5741: 5721: 5701: 5665: 5502: 5440:not be confused with 5396: 5353:, this states that a 5349:. In the form of the 5283:and nuclear weapons. 5274: 5240: 5238:{\displaystyle c^{2}} 5161: 5108: 5055: 5000: 4913: 4911:{\displaystyle E_{k}} 4891:) to kinetic energy ( 4886: 4884:{\displaystyle E_{p}} 4739:(from heat to work). 4682: 4666:Transfer of material 4610:Energy transformation 4525: 4523:{\displaystyle E_{0}} 4472: 4381: 4357: 4337: 4199:In a slower process, 4193:Earth's energy budget 4048: 3910: 3671:energy and human life 3668: 3568:Joseph-Louis Lagrange 3520: 3497: 2981:Hamiltonian mechanics 2799:Statistical mechanics 2718: 2598:British thermal units 2549: 2433:Principia Mathematica 2347: 2053: 2021: 1522:On the Equilibrium of 1342: 1287: 1240:Helmholtz free energy 1232: 1177: 1039: 1015: 992: 968: 943: 907: 883: 860: 836: 811: 772: 748: 725: 701: 676: 9756:remnant natural area 9393:storage and recovery 9059:habitat conservation 8877:Deforestation (REDD) 8626:Evolutionary history 8140:Efficient energy use 8113:Airborne wind energy 8091:Solar thermal energy 7998:Electricity delivery 7610:Thermodynamic system 7555:Irreversible process 7019:Onsager, L. (1931). 6504:Science and Children 6366:Zero-energy building 6296:Efficient energy use 6162: 6139: 6093: 5987: 5879: 5847: 5783: 5750: 5730: 5710: 5690: 5637: 5469: 5460:Hamiltonian operator 5309:reversible processes 5250: 5246:amounts of energy (~ 5222: 5117: 5064: 5025: 4931: 4895: 4868: 4727:) and ultimately to 4559:stress–energy tensor 4507: 4428: 4379:{\displaystyle \nu } 4370: 4346: 4317: 4294:Schrödinger equation 3918: 3798: 3718:basal metabolic rate 3696:(including sugars), 3509: 3455: 3204:Angular acceleration 3196:Rotational frequency 2976:Lagrangian mechanics 2969:Analytical mechanics 2725:Second law of motion 2678: 2504:Josiah Willard Gibbs 2485:James Prescott Joule 1957:thermodynamic system 1535:Motive Power of Fire 1301: 1246: 1191: 1151: 1103:Bridgman's equations 1080:Fundamental relation 1025: 1004: 978: 957: 929: 893: 872: 846: 825: 794: 758: 737: 711: 690: 662: 9876:Main topic articles 9710:Earth Overshoot Day 9284:Marine conservation 9265:non-timber products 8563:Natural environment 8162:Energy conservation 8084:Photovoltaic system 8057:Nuclear power plant 7742:Quantum fluctuation 7605:Thermodynamic state 7580:Thermal equilibrium 7238:Scientific American 7190:Scientific American 7176:Scientific American 7113:2015NatSR...5E8323B 7074:2006PhR...426....1M 7037:1931PhRv...37..405O 6921:. Ptolemy Project. 6648:Jacaranda Physics 1 6191:harmonic oscillator 5772:adiabatic processes 5595:conservative forces 5567:Van der Waals force 5442:energy conservation 5437:canonical conjugate 5205:Friedrich Hasenöhrl 4620: 4574:canonical conjugate 4530:is the rest energy. 4416:Newtonian mechanics 4172:, snow, lightning, 4038: 4018: 3998: 3960: 3947: 3934: 3900: 3880: 3860: 3840: 3827: 3814: 3572:classical mechanics 3056:Harmonic oscillator 3034:Equations of motion 2669:Classical mechanics 2663:Part of a series on 2656:Classical mechanics 2619:energy unit is the 2122: 1955:contained within a 1880:and in the form of 1513:Source ... Friction 1445:Loschmidt's paradox 637:Material properties 515:Conjugate variables 9695:Ecosystem services 8818:Ambient standards 8199:Sustainable energy 8177:Energy development 8167:Energy consumption 8003:Energy engineering 7368:2016-08-27 at the 7294:2019-02-09 at the 7160:Energy and Entropy 6831:2006-12-15 at the 6741:2006-10-02 at the 6448:There are several 6346:Sustainable energy 6171: 6148: 6122: 6027: 5916: 5860: 5800: 5768:thermal efficiency 5756: 5736: 5716: 5696: 5660: 5615:tidal interactions 5553:(which results in 5539:fundamental forces 5497: 5269: 5235: 5156: 5103: 5050: 4995: 4908: 4881: 4820:chemical potential 4816:chemical explosion 4777:degrees of freedom 4733:electric generator 4689: 4614: 4578:special relativity 4520: 4467: 4376: 4352: 4332: 4043: 4026: 4006: 3986: 3981: 3948: 3935: 3922: 3905: 3888: 3868: 3848: 3828: 3815: 3802: 3674: 3669:Basic overview of 3645:Arrhenius equation 3617:Chemical reactions 3592:In the context of 3525:) is equal to the 3515: 3492: 3440:conserved quantity 3372:Physics portal 2986:Routhian mechanics 2861:Frame of reference 2713: 2552: 2494:) as the field of 2424:Émilie du ChĂątelet 2353: 2120: 2067: 2048: 1941:chemical reactions 1908:for energy in the 1890:conserved quantity 1777:Order and disorder 1533:Reflections on the 1440:Heat death paradox 1337: 1282: 1227: 1172: 1034: 1010: 987: 963: 938: 902: 878: 855: 831: 806: 767: 743: 720: 696: 674:{\displaystyle c=} 671: 644:Property databases 620:Reduced properties 604:Chemical potential 568:Functions of state 491:Thermal efficiency 227:Carnot heat engine 156:SI base units 9858: 9857: 9836: 9835: 9635: 9634: 9314:genetic resources 9250:genetic resources 8885: 8884: 8793:Natural resources 8759: 8758: 8737: 8736: 8410:chemical elements 8334: 8333: 8101:Solar power tower 7747:Quantum potential 7585:Thermal reservoir 7488:Energy transition 7331:978-0-19-551084-3 7312:978-0-262-19565-2 7121:10.1038/srep08323 7005:978-0-7167-1088-2 6915:"Time Invariance" 6863:978-0-201-02115-8 6798:978-0-7167-0344-0 6710:"Bike Calculator" 6657:978-0-7016-3777-4 6632:978-0-226-76420-7 6590:Harper, Douglas. 6230:equilibrium state 5940: 5939: 5910: 5857: 5824: 5823: 5759:{\displaystyle Q} 5739:{\displaystyle Q} 5719:{\displaystyle W} 5699:{\displaystyle E} 5684: 5683: 5531:virtual particles 5495: 5456:quantum mechanics 5428:Noether's theorem 5297:conservation laws 5193:relativistic mass 5153: 5088: 5019: 5018: 4677: 4676: 4624:Type of transfer 4570:classical physics 4355:{\displaystyle h} 4311:Planck's relation 4282:quantum mechanics 4270:Quantum mechanics 4228:the phenomena of 4201:radioactive decay 4184:brought about by 4150:continental drift 4117:ecological niches 4081:metabolic pathway 4041: 4029: 4009: 3989: 3980: 3951: 3938: 3925: 3903: 3891: 3871: 3851: 3831: 3818: 3805: 3621:activation energy 3582:Noether's theorem 3518:{\displaystyle W} 3422: 3421: 3169:Centrifugal force 3164:Centripetal force 3120:Euler's equations 3105:Relative velocity 2881:Moment of inertia 2711: 2685: 2639:or thermodynamic 2573:with the paddle. 2524:Noether's theorem 2463:coined the term " 2397:Gottfried Leibniz 2387: 2373: 2359:derives from the 2336:History of energy 2327: 2326: 2302:potential energy 2107:mechanical energy 2008:geothermal energy 1831: 1830: 1772:Self-organization 1597: 1596: 1295:Gibbs free energy 1093:Maxwell relations 1051: 1050: 1047: 1046: 1013:{\displaystyle V} 966:{\displaystyle 1} 921:Thermal expansion 915: 914: 881:{\displaystyle V} 834:{\displaystyle 1} 780: 779: 746:{\displaystyle N} 699:{\displaystyle T} 627: 626: 543:Process functions 529:Property diagrams 508:System properties 498: 497: 463:Endoreversibility 355:Equation of state 207: 206: 70:electrical energy 32:Outline of energy 27:Physical quantity 16:(Redirected from 9898: 9871:Energy (physics) 9848: 9847: 9799: 9746:Natural heritage 9705:overexploitation 9644: 9643: 9378: 9377: 9324:herbal medicines 9304:FAO Plant Treaty 8844: 8821: 8806: 8805: 8786: 8779: 8772: 8763: 8762: 8749: 8748: 8621: 8611: 8610: 8551:tropical cyclone 8501: 8361: 8354: 8347: 8338: 8337: 8322: 8321: 8310: 8298: 8297: 8286: 8285: 8260:Carbon footprint 8194:Renewable energy 8035:Hydroelectricity 8025:Geothermal power 7468:Energy condition 7400: 7393: 7386: 7377: 7376: 7350:(JEHRHE), 2018– 7335: 7316: 7280: 7278: 7276: 7270: 7259: 7233:Energy and Power 7229: 7227: 7226: 7215:Light and Matter 7195:energy resources 7164: 7143: 7142: 7132: 7092: 7086: 7085: 7057: 7051: 7050: 7048: 7016: 7010: 7009: 6991: 6985: 6978: 6972: 6971: 6969: 6968: 6940: 6934: 6933: 6931: 6930: 6911: 6905: 6904: 6902: 6901: 6885: 6879: 6878: 6876: 6875: 6845: 6836: 6821: 6812: 6809: 6803: 6802: 6784: 6775: 6774: 6772: 6771: 6756: 6750: 6749:pp. 343–58. 6732: 6726: 6724: 6722: 6721: 6705: 6699: 6698: 6696: 6695: 6680: 6674: 6668: 6662: 6661: 6643: 6637: 6636: 6618: 6612: 6611: 6609: 6607: 6587: 6581: 6580: 6578: 6577: 6558: 6552: 6551: 6549: 6547: 6494: 6488: 6487: 6485: 6484: 6478:Energy Education 6470: 6453: 6446: 6440: 6433: 6427: 6416: 6410: 6400: 6394: 6383: 6316:Energy recycling 6301:Energy democracy 6284: 6279: 6278: 6270: 6265: 6264: 6256: 6251: 6250: 6199:potential energy 6180: 6178: 6177: 6172: 6157: 6155: 6154: 6149: 6131: 6129: 6128: 6123: 6100: 6036: 6034: 6033: 6028: 6022: 6008: 5994: 5934: 5925: 5923: 5922: 5917: 5912: 5911: 5908: 5873: 5870:, one may write 5869: 5867: 5866: 5861: 5859: 5858: 5855: 5818: 5809: 5807: 5806: 5801: 5790: 5777: 5765: 5763: 5762: 5757: 5745: 5743: 5742: 5737: 5725: 5723: 5722: 5717: 5705: 5703: 5702: 5697: 5678: 5669: 5667: 5666: 5661: 5644: 5631: 5551:electric charges 5527:particle physics 5506: 5504: 5503: 5498: 5496: 5488: 5418: 5382:available energy 5293:particle physics 5281:nuclear reactors 5278: 5276: 5275: 5270: 5268: 5267: 5244: 5242: 5241: 5236: 5234: 5233: 5165: 5163: 5162: 5157: 5155: 5154: 5151: 5142: 5141: 5129: 5128: 5112: 5110: 5109: 5104: 5102: 5101: 5089: 5081: 5076: 5075: 5059: 5057: 5056: 5051: 5037: 5036: 5013: 5004: 5002: 5001: 4996: 4994: 4993: 4978: 4977: 4962: 4961: 4946: 4945: 4925: 4917: 4915: 4914: 4909: 4907: 4906: 4890: 4888: 4887: 4882: 4880: 4879: 4851:potential energy 4841:is zero and the 4765:Carnot's theorem 4640:equal amount of 4621: 4613: 4529: 4527: 4526: 4521: 4519: 4518: 4476: 4474: 4473: 4468: 4463: 4462: 4453: 4452: 4440: 4439: 4402:to accelerate a 4385: 4383: 4382: 4377: 4361: 4359: 4358: 4353: 4341: 4339: 4338: 4333: 4246:gamma-ray bursts 4052: 4050: 4049: 4044: 4042: 4039: 4037: 4034: 4027: 4017: 4014: 4007: 3997: 3994: 3987: 3985: 3973: 3959: 3956: 3949: 3946: 3943: 3936: 3933: 3930: 3923: 3914: 3912: 3911: 3906: 3904: 3901: 3899: 3896: 3889: 3879: 3876: 3869: 3859: 3856: 3849: 3839: 3836: 3829: 3826: 3823: 3816: 3813: 3810: 3803: 3739:is triggered by 3710:human equivalent 3524: 3522: 3521: 3516: 3501: 3499: 3498: 3493: 3491: 3486: 3478: 3473: 3472: 3414: 3407: 3400: 3387: 3382: 3381: 3374: 3370: 3369: 3275:Johann Bernoulli 3270:Daniel Bernoulli 3191:Tangential speed 3095: 3071: 3046:Fictitious force 3041: 2893:Mechanical power 2883: 2824:Angular momentum 2722: 2720: 2719: 2714: 2712: 2710: 2702: 2701: 2692: 2687: 2686: 2660: 2659: 2563:potential energy 2542:Units of measure 2534:of the quantity 2465:potential energy 2382: 2380: 2368: 2366: 2283:potential energy 2123: 2119: 2091:potential energy 2087:composite motion 2075:potential energy 2063:potential energy 2004:renewable energy 1992:energy resources 1972:living organisms 1939:associated with 1925:potential energy 1854: 1847: 1823: 1816: 1809: 1793: 1792: 1500:Key publications 1481: 1480:("living force") 1430:Brownian ratchet 1425:Entropy and life 1420:Entropy and time 1371: 1370: 1346: 1344: 1343: 1338: 1291: 1289: 1288: 1283: 1236: 1234: 1233: 1228: 1181: 1179: 1178: 1173: 1075:Clausius theorem 1070:Carnot's theorem 1043: 1041: 1040: 1035: 1019: 1017: 1016: 1011: 996: 994: 993: 988: 972: 970: 969: 964: 951: 950: 947: 945: 944: 939: 911: 909: 908: 903: 887: 885: 884: 879: 864: 862: 861: 856: 840: 838: 837: 832: 819: 818: 815: 813: 812: 807: 776: 774: 773: 768: 752: 750: 749: 744: 729: 727: 726: 721: 705: 703: 702: 697: 684: 683: 680: 678: 677: 672: 650: 649: 523: 522: 342: 341: 223: 209: 208: 157: 62: 50: 49: 21: 9906: 9905: 9901: 9900: 9899: 9897: 9896: 9895: 9861: 9860: 9859: 9854: 9832: 9797: 9777: 9763:Systems ecology 9729:Natural capital 9631: 9516: 9505:reclaimed water 9367: 9329:UPOV Convention 9177: 8972: 8881: 8855: 8851:Ozone depletion 8842: 8819: 8795: 8790: 8760: 8755: 8733: 8650: 8619: 8600: 8557: 8499: 8479: 8470:Gaia hypothesis 8460:Plate tectonics 8421: 8371: 8365: 8335: 8330: 8274: 8270:Waste-to-energy 8248: 8184:Energy security 8130: 8124: 7980: 7972: 7951:Natural uranium 7885: 7866:Mechanical wave 7797:Energy carriers 7791: 7631: 7560:Isolated system 7438: 7432: 7409: 7404: 7370:Wayback Machine 7358: 7343: 7338: 7332: 7319: 7313: 7300: 7296:Wayback Machine 7274: 7272: 7268: 7262:Project PHYSNET 7257: 7252: 7224: 7222: 7208: 7156: 7152: 7150:Further reading 7147: 7146: 7093: 7089: 7062:Physics Reports 7058: 7054: 7017: 7013: 7006: 6996:Thermal Physics 6992: 6988: 6979: 6975: 6966: 6964: 6957: 6941: 6937: 6928: 6926: 6913: 6912: 6908: 6899: 6897: 6886: 6882: 6873: 6871: 6864: 6846: 6839: 6833:Wayback Machine 6822: 6815: 6810: 6806: 6799: 6785: 6778: 6769: 6767: 6758: 6757: 6753: 6743:Wayback Machine 6733: 6729: 6719: 6717: 6708: 6706: 6702: 6693: 6691: 6682: 6681: 6677: 6671:The Hamiltonian 6669: 6665: 6658: 6644: 6640: 6633: 6619: 6615: 6605: 6603: 6588: 6584: 6575: 6573: 6560: 6559: 6555: 6545: 6543: 6495: 6491: 6482: 6480: 6472: 6471: 6467: 6462: 6457: 6456: 6447: 6443: 6437:electromagnetic 6434: 6430: 6417: 6413: 6401: 6397: 6384: 6380: 6375: 6370: 6356:Waste-to-energy 6351:Transfer energy 6311:Energy recovery 6280: 6273: 6266: 6259: 6252: 6245: 6242: 6187: 6163: 6160: 6159: 6140: 6137: 6136: 6096: 6094: 6091: 6090: 6018: 6004: 5990: 5988: 5985: 5984: 5962: 5953:Internal energy 5950: 5948:Internal energy 5945: 5907: 5903: 5880: 5877: 5876: 5854: 5850: 5848: 5845: 5844: 5836: 5830:, for example. 5789: 5784: 5781: 5780: 5751: 5748: 5747: 5731: 5728: 5727: 5711: 5708: 5707: 5691: 5688: 5687: 5643: 5638: 5635: 5634: 5587: 5582: 5575: 5573:Energy transfer 5547:Virtual photons 5487: 5470: 5467: 5466: 5419: 5412: 5392:Richard Feynman 5343: 5337: 5305: 5289:nuclear physics 5263: 5259: 5251: 5248: 5247: 5229: 5225: 5223: 5220: 5219: 5189:Albert Einstein 5172: 5150: 5146: 5137: 5133: 5124: 5120: 5118: 5115: 5114: 5097: 5093: 5080: 5071: 5067: 5065: 5062: 5061: 5032: 5028: 5026: 5023: 5022: 4986: 4982: 4970: 4966: 4954: 4950: 4938: 4934: 4932: 4929: 4928: 4920:isolated system 4902: 4898: 4896: 4893: 4892: 4875: 4871: 4869: 4866: 4865: 4788:nucleosynthesis 4744:electric energy 4729:electric energy 4715:), a dam (from 4713:electric energy 4709:chemical energy 4685:turbo generator 4612: 4606: 4514: 4510: 4508: 4505: 4504: 4486: 4458: 4454: 4448: 4444: 4435: 4431: 4429: 4426: 4425: 4396: 4371: 4368: 4367: 4364:Planck constant 4347: 4344: 4343: 4318: 4315: 4314: 4286:energy operator 4278: 4276:Energy operator 4272: 4222: 4205:plate tectonics 4154:mountain ranges 4142: 4073: 4071: 4067: 4035: 4030: 4015: 4010: 3995: 3990: 3964: 3957: 3952: 3944: 3939: 3931: 3926: 3921: 3919: 3916: 3915: 3897: 3892: 3877: 3872: 3857: 3852: 3837: 3832: 3824: 3819: 3811: 3806: 3801: 3799: 3796: 3795: 3782: 3778: 3774: 3766: 3762: 3758: 3747:1500–2000  3663: 3655:Main articles: 3653: 3590: 3546:frame dependent 3542:mechanical work 3510: 3507: 3506: 3487: 3482: 3474: 3468: 3464: 3456: 3453: 3452: 3436: 3430:Mechanical work 3424:Main articles: 3418: 3377: 3364: 3363: 3356: 3355: 3354: 3229: 3221: 3220: 3200: 3154:Circular motion 3148: 3138: 3137: 3136: 3093: 3063: 3060: 3039: 3018: 3010: 3009: 3006: 3005: 2963: 2953: 2945: 2944: 2943: 2902: 2898:Mechanical work 2891: 2875: 2813: 2805: 2804: 2803: 2758: 2750: 2727: 2703: 2697: 2693: 2691: 2682: 2681: 2679: 2676: 2675: 2658: 2653: 2567:internal energy 2558: 2556:Units of energy 2544: 2522:. According to 2500:Rudolf Clausius 2473:isolated system 2461:William Rankine 2418:, differs from 2342: 2334:Main articles: 2332: 2254:Mechanical wave 2126:Type of energy 2016: 1988:energy industry 1953:internal energy 1937:chemical energy 1874:physical system 1827: 1782: 1781: 1757: 1749: 1748: 1747: 1607: 1599: 1598: 1577: 1563: 1538: 1534: 1527: 1523: 1516: 1512: 1479: 1472: 1454: 1435:Maxwell's demon 1397: 1368: 1367: 1351: 1350: 1349: 1302: 1299: 1298: 1297: 1247: 1244: 1243: 1242: 1192: 1189: 1188: 1187: 1152: 1149: 1148: 1147: 1145:Internal energy 1140: 1125: 1115: 1114: 1089: 1064: 1054: 1053: 1052: 1026: 1023: 1022: 1005: 1002: 1001: 979: 976: 975: 958: 955: 954: 930: 927: 926: 894: 891: 890: 873: 870: 869: 847: 844: 843: 826: 823: 822: 795: 792: 791: 786:Compressibility 759: 756: 755: 738: 735: 734: 712: 709: 708: 691: 688: 687: 663: 660: 659: 639: 629: 628: 609:Particle number 562: 521: 510: 500: 499: 458:Irreversibility 370:State of matter 337:Isolated system 322: 312: 311: 310: 285: 275: 274: 270:Non-equilibrium 262: 237: 229: 155: 123: 99: 92: 46: 39: 28: 23: 22: 15: 12: 11: 5: 9904: 9894: 9893: 9888: 9883: 9878: 9873: 9856: 9855: 9853: 9852: 9841: 9838: 9837: 9834: 9833: 9831: 9830: 9821: 9816: 9811: 9806: 9801: 9798:(perpetuation) 9793: 9787: 9785: 9779: 9778: 9776: 9775: 9770: 9765: 9760: 9759: 9758: 9751:Nature reserve 9748: 9743: 9742: 9741: 9736: 9726: 9725: 9724: 9714: 9713: 9712: 9707: 9697: 9692: 9691: 9690: 9685: 9675: 9674: 9673: 9668: 9663: 9658: 9647: 9641: 9637: 9636: 9633: 9632: 9630: 9629: 9628: 9627: 9622: 9612: 9607: 9602: 9597: 9592: 9587: 9582: 9577: 9572: 9567: 9562: 9557: 9556: 9555: 9545: 9540: 9535: 9530: 9524: 9522: 9518: 9517: 9515: 9514: 9509: 9508: 9507: 9497: 9492: 9487: 9486: 9485: 9475: 9470: 9469: 9468: 9456: 9455: 9454: 9449: 9444: 9434: 9429: 9428: 9427: 9422: 9417: 9407: 9402: 9397: 9396: 9395: 9384: 9382: 9375: 9369: 9368: 9366: 9365: 9364: 9363: 9358: 9348: 9343: 9338: 9337: 9336: 9331: 9326: 9321: 9316: 9311: 9306: 9296: 9291: 9286: 9281: 9280: 9279: 9269: 9268: 9267: 9262: 9257: 9252: 9242: 9241: 9240: 9235: 9230: 9228:climate change 9220: 9215: 9210: 9205: 9204: 9203: 9196:Bioprospecting 9193: 9187: 9185: 9179: 9178: 9176: 9175: 9174: 9173: 9168: 9158: 9157: 9156: 9151: 9146: 9141: 9131: 9130: 9129: 9124: 9123: 9122: 9117: 9107: 9106: 9105: 9100: 9090: 9089: 9088: 9078: 9073: 9063: 9062: 9061: 9051: 9050: 9049: 9039: 9038: 9037: 9032: 9027: 9022: 9012: 9007: 9002: 9001: 9000: 8999: 8998: 8982: 8980: 8974: 8973: 8971: 8970: 8965: 8964: 8963: 8958: 8948: 8943: 8938: 8933: 8911: 8906: 8901: 8895: 8893: 8887: 8886: 8883: 8882: 8880: 8879: 8874: 8869: 8863: 8861: 8857: 8856: 8854: 8853: 8848: 8847: 8846: 8841:Clean Air Act 8833: 8828: 8823: 8814: 8812: 8803: 8797: 8796: 8789: 8788: 8781: 8774: 8766: 8757: 8756: 8754: 8753: 8742: 8739: 8738: 8735: 8734: 8732: 8731: 8724: 8723: 8722: 8717: 8707: 8706: 8705: 8700: 8695: 8694: 8693: 8683: 8682: 8681: 8666: 8661: 8655: 8652: 8651: 8649: 8648: 8638: 8633: 8628: 8623: 8614: 8608: 8602: 8601: 8599: 8598: 8593: 8588: 8583: 8578: 8573: 8567: 8565: 8559: 8558: 8556: 8555: 8554: 8553: 8548: 8538: 8533: 8528: 8523: 8518: 8513: 8508: 8503: 8495: 8489: 8487: 8481: 8480: 8478: 8477: 8472: 8467: 8462: 8457: 8452: 8447: 8437: 8431: 8429: 8423: 8422: 8420: 8419: 8414: 8413: 8412: 8407: 8397: 8392: 8387: 8381: 8379: 8373: 8372: 8364: 8363: 8356: 8349: 8341: 8332: 8331: 8329: 8328: 8316: 8304: 8292: 8279: 8276: 8275: 8273: 8272: 8267: 8265:Jevons paradox 8262: 8256: 8254: 8250: 8249: 8247: 8246: 8241: 8236: 8231: 8226: 8221: 8216: 8211: 8206: 8201: 8196: 8191: 8189:Energy storage 8186: 8181: 8180: 8179: 8169: 8164: 8159: 8158: 8157: 8152: 8147: 8136: 8134: 8126: 8125: 8123: 8122: 8121: 8120: 8115: 8105: 8104: 8103: 8098: 8088: 8087: 8086: 8081: 8071: 8066: 8065: 8064: 8059: 8049: 8048: 8047: 8042: 8037: 8027: 8022: 8021: 8020: 8015: 8005: 8000: 7995: 7993:Electric power 7990: 7984: 7982: 7974: 7973: 7971: 7970: 7965: 7960: 7955: 7954: 7953: 7943: 7938: 7933: 7928: 7923: 7922: 7921: 7916: 7911: 7901: 7895: 7893: 7891:Primary energy 7887: 7886: 7884: 7883: 7878: 7873: 7868: 7863: 7862: 7861: 7851: 7850: 7849: 7839: 7838: 7837: 7832: 7822: 7817: 7812: 7807: 7801: 7799: 7793: 7792: 7790: 7789: 7784: 7779: 7774: 7769: 7764: 7759: 7754: 7749: 7744: 7739: 7734: 7729: 7724: 7719: 7714: 7709: 7704: 7699: 7694: 7689: 7688: 7687: 7677: 7672: 7667: 7662: 7657: 7652: 7651: 7650: 7639: 7637: 7633: 7632: 7630: 7629: 7628: 7627: 7622: 7617: 7612: 7607: 7602: 7597: 7592: 7587: 7582: 7577: 7572: 7567: 7562: 7557: 7552: 7547: 7542: 7537: 7532: 7527: 7525:Entropic force 7522: 7515:Thermodynamics 7512: 7507: 7506: 7505: 7500: 7490: 7485: 7480: 7475: 7470: 7465: 7464: 7463: 7453: 7448: 7442: 7440: 7434: 7433: 7431: 7430: 7425: 7420: 7414: 7411: 7410: 7403: 7402: 7395: 7388: 7380: 7374: 7373: 7357: 7356:External links 7354: 7353: 7352: 7342: 7339: 7337: 7336: 7330: 7317: 7311: 7298: 7281: 7250: 7230: 7206: 7165: 7153: 7151: 7148: 7145: 7144: 7087: 7052: 7011: 7004: 6986: 6973: 6955: 6935: 6906: 6880: 6862: 6837: 6813: 6804: 6797: 6776: 6751: 6727: 6700: 6675: 6663: 6656: 6638: 6631: 6613: 6582: 6553: 6489: 6464: 6463: 6461: 6458: 6455: 6454: 6441: 6428: 6411: 6407:lattice energy 6395: 6377: 6376: 6374: 6371: 6369: 6368: 6363: 6358: 6353: 6348: 6343: 6338: 6333: 6328: 6323: 6318: 6313: 6308: 6303: 6298: 6293: 6287: 6286: 6285: 6271: 6268:Physics portal 6257: 6241: 6238: 6186: 6183: 6170: 6167: 6147: 6144: 6133: 6132: 6121: 6118: 6115: 6112: 6109: 6106: 6103: 6099: 6039: 6038: 6025: 6021: 6017: 6014: 6011: 6007: 6003: 6000: 5997: 5993: 5961: 5958: 5949: 5946: 5944: 5943:Thermodynamics 5941: 5938: 5937: 5928: 5926: 5915: 5906: 5902: 5899: 5896: 5893: 5890: 5887: 5884: 5853: 5835: 5832: 5822: 5821: 5812: 5810: 5799: 5796: 5793: 5788: 5755: 5735: 5715: 5695: 5682: 5681: 5672: 5670: 5659: 5656: 5653: 5650: 5647: 5642: 5619:thermal energy 5611:kinetic energy 5586: 5585:Closed systems 5583: 5574: 5571: 5533:, which carry 5508: 5507: 5494: 5491: 5486: 5483: 5480: 5477: 5474: 5410: 5386:thermal energy 5339:Main article: 5336: 5333: 5304: 5301: 5266: 5262: 5258: 5255: 5232: 5228: 5201:Henri PoincarĂ© 5187:ÂČ, derived by 5179:. The formula 5171: 5168: 5149: 5145: 5140: 5136: 5132: 5127: 5123: 5100: 5096: 5092: 5087: 5084: 5079: 5074: 5070: 5049: 5046: 5043: 5040: 5035: 5031: 5017: 5016: 5007: 5005: 4992: 4989: 4985: 4981: 4976: 4973: 4969: 4965: 4960: 4957: 4953: 4949: 4944: 4941: 4937: 4905: 4901: 4878: 4874: 4847:kinetic energy 4839:kinetic energy 4828:thermal energy 4754:radiant energy 4721:kinetic energy 4691:Energy may be 4675: 4674: 4667: 4663: 4662: 4656: 4650: 4649: 4642:thermal energy 4638: 4632: 4631: 4628: 4615:Some forms of 4608:Main article: 4605: 4604:Transformation 4602: 4582:Lorentz scalar 4532: 4531: 4517: 4513: 4502: 4499:speed of light 4492: 4484: 4466: 4461: 4457: 4451: 4447: 4443: 4438: 4434: 4395: 4392: 4375: 4351: 4331: 4328: 4325: 4322: 4274:Main article: 4271: 4268: 4258:nuclear fusion 4221: 4218: 4213:energy storage 4166:meteorological 4141: 4140:Earth sciences 4138: 4134:photosynthesis 4099: 4098: 4095: 4092: 4069: 4065: 4063: 4033: 4024: 4021: 4013: 4004: 4001: 3993: 3984: 3979: 3976: 3970: 3967: 3963: 3955: 3942: 3929: 3895: 3886: 3883: 3875: 3866: 3863: 3855: 3846: 3843: 3835: 3822: 3809: 3785:carbon dioxide 3780: 3776: 3772: 3764: 3760: 3756: 3733:photosynthesis 3652: 3649: 3589: 3586: 3514: 3503: 3502: 3490: 3485: 3481: 3477: 3471: 3467: 3463: 3460: 3434:Thermodynamics 3420: 3419: 3417: 3416: 3409: 3402: 3394: 3391: 3390: 3389: 3388: 3375: 3358: 3357: 3353: 3352: 3347: 3342: 3337: 3332: 3327: 3322: 3317: 3312: 3307: 3302: 3297: 3292: 3287: 3282: 3277: 3272: 3267: 3262: 3257: 3252: 3247: 3242: 3237: 3231: 3230: 3227: 3226: 3223: 3222: 3219: 3218: 3199: 3198: 3193: 3188: 3183: 3181:Coriolis force 3178: 3177: 3176: 3166: 3161: 3156: 3150: 3149: 3144: 3143: 3140: 3139: 3135: 3134: 3129: 3124: 3123: 3122: 3117: 3107: 3102: 3097: 3090: 3079: 3078: 3077: 3072: 3059: 3058: 3053: 3048: 3043: 3036: 3031: 3026: 3020: 3019: 3016: 3015: 3012: 3011: 3008: 3007: 3004: 3003: 2998: 2993: 2988: 2983: 2978: 2972: 2966: 2964: 2957: 2954: 2951: 2950: 2947: 2946: 2942: 2941: 2936: 2931: 2926: 2921: 2916: 2911: 2906: 2900: 2895: 2889: 2884: 2873: 2868: 2863: 2858: 2853: 2852: 2851: 2846: 2836: 2831: 2826: 2821: 2815: 2814: 2811: 2810: 2807: 2806: 2802: 2801: 2796: 2791: 2786: 2781: 2776: 2771: 2766: 2760: 2759: 2756: 2755: 2752: 2751: 2749: 2748: 2743: 2738: 2732: 2729: 2728: 2723: 2709: 2706: 2700: 2696: 2690: 2672: 2671: 2665: 2664: 2657: 2654: 2652: 2651:Scientific use 2649: 2602:kilowatt-hours 2554:Main article: 2543: 2540: 2516:radiant energy 2508:Walther Nernst 2496:thermodynamics 2467:". The law of 2457:kinetic energy 2416:kinetic energy 2331: 2328: 2325: 2324: 2317: 2311: 2310: 2300: 2294: 2293: 2280: 2274: 2273: 2270: 2264: 2263: 2256: 2250: 2249: 2246: 2240: 2239: 2226: 2220: 2219: 2216:atomic nucleus 2205: 2199: 2198: 2191: 2185: 2184: 2181: 2175: 2174: 2171: 2165: 2164: 2161: 2155: 2154: 2151: 2145: 2144: 2137: 2131: 2130: 2127: 2079:kinetic energy 2055:Thermal energy 2044:thermal energy 2015: 2012: 1945:radiant energy 1933:elastic energy 1921:kinetic energy 1888:. Energy is a 1829: 1828: 1826: 1825: 1818: 1811: 1803: 1800: 1799: 1798: 1797: 1784: 1783: 1780: 1779: 1774: 1769: 1764: 1758: 1755: 1754: 1751: 1750: 1746: 1745: 1740: 1735: 1730: 1725: 1720: 1715: 1710: 1705: 1700: 1695: 1690: 1685: 1680: 1675: 1670: 1665: 1660: 1655: 1650: 1645: 1640: 1635: 1630: 1625: 1620: 1615: 1609: 1608: 1605: 1604: 1601: 1600: 1595: 1594: 1593: 1592: 1587: 1579: 1578: 1576: 1575: 1572: 1568: 1565: 1564: 1562: 1561: 1556: 1554:Thermodynamics 1550: 1547: 1546: 1542: 1541: 1540: 1539: 1530: 1528: 1519: 1517: 1508: 1503: 1502: 1496: 1495: 1494: 1493: 1488: 1483: 1471: 1470: 1468:Caloric theory 1464: 1461: 1460: 1456: 1455: 1453: 1452: 1447: 1442: 1437: 1432: 1427: 1422: 1416: 1413: 1412: 1406: 1405: 1404: 1403: 1396: 1395: 1390: 1385: 1379: 1376: 1375: 1369: 1366: 1365: 1362: 1358: 1357: 1356: 1353: 1352: 1348: 1347: 1336: 1333: 1330: 1327: 1324: 1321: 1318: 1315: 1312: 1309: 1306: 1292: 1281: 1278: 1275: 1272: 1269: 1266: 1263: 1260: 1257: 1254: 1251: 1237: 1226: 1223: 1220: 1217: 1214: 1211: 1208: 1205: 1202: 1199: 1196: 1182: 1171: 1168: 1165: 1162: 1159: 1156: 1141: 1139: 1138: 1133: 1127: 1126: 1121: 1120: 1117: 1116: 1113: 1112: 1105: 1100: 1095: 1088: 1087: 1082: 1077: 1072: 1066: 1065: 1060: 1059: 1056: 1055: 1049: 1048: 1045: 1044: 1033: 1030: 1020: 1009: 998: 997: 986: 983: 973: 962: 948: 937: 934: 924: 917: 916: 913: 912: 901: 898: 888: 877: 866: 865: 854: 851: 841: 830: 816: 805: 802: 799: 789: 782: 781: 778: 777: 766: 763: 753: 742: 731: 730: 719: 716: 706: 695: 681: 670: 667: 657: 648: 647: 646: 640: 635: 634: 631: 630: 625: 624: 623: 622: 617: 612: 601: 590: 571: 570: 564: 563: 561: 560: 555: 549: 546: 545: 539: 538: 537: 536: 531: 512: 511: 506: 505: 502: 501: 496: 495: 494: 493: 488: 483: 475: 474: 468: 467: 466: 465: 460: 455: 450: 448:Free expansion 445: 440: 435: 430: 425: 420: 415: 410: 402: 401: 395: 394: 393: 392: 387: 385:Control volume 382: 377: 375:Phase (matter) 372: 367: 362: 357: 349: 348: 340: 339: 334: 329: 323: 318: 317: 314: 313: 309: 308: 303: 298: 293: 287: 286: 281: 280: 277: 276: 273: 272: 261: 260: 255: 250: 245: 239: 238: 235: 234: 231: 230: 225:The classical 224: 216: 215: 213:Thermodynamics 205: 204: 193: 187: 186: 181: 174: 173: 170: 163: 162: 159: 150: 149: 124: 121: 118: 117: 112: 106: 105: 100: 98:Common symbols 97: 94: 93: 63: 55: 54: 26: 9: 6: 4: 3: 2: 9903: 9892: 9889: 9887: 9884: 9882: 9879: 9877: 9874: 9872: 9869: 9868: 9866: 9851: 9843: 9842: 9839: 9829: 9828:Non-renewable 9825: 9822: 9820: 9817: 9815: 9812: 9810: 9807: 9805: 9802: 9800: 9794: 9792: 9789: 9788: 9786: 9784: 9780: 9774: 9771: 9769: 9768:Urban ecology 9766: 9764: 9761: 9757: 9754: 9753: 9752: 9749: 9747: 9744: 9740: 9737: 9735: 9732: 9731: 9730: 9727: 9723: 9720: 9719: 9718: 9715: 9711: 9708: 9706: 9703: 9702: 9701: 9698: 9696: 9693: 9689: 9686: 9684: 9681: 9680: 9679: 9676: 9672: 9669: 9667: 9664: 9662: 9659: 9657: 9654: 9653: 9652: 9649: 9648: 9645: 9642: 9638: 9626: 9623: 9621: 9618: 9617: 9616: 9613: 9611: 9608: 9606: 9603: 9601: 9600:Privatization 9598: 9596: 9593: 9591: 9588: 9586: 9583: 9581: 9578: 9576: 9573: 9571: 9568: 9566: 9563: 9561: 9558: 9554: 9551: 9550: 9549: 9546: 9544: 9541: 9539: 9536: 9534: 9531: 9529: 9526: 9525: 9523: 9519: 9513: 9510: 9506: 9503: 9502: 9501: 9498: 9496: 9495:Surface water 9493: 9491: 9488: 9484: 9481: 9480: 9479: 9476: 9474: 9471: 9467: 9466: 9462: 9461: 9460: 9457: 9453: 9450: 9448: 9445: 9443: 9440: 9439: 9438: 9435: 9433: 9430: 9426: 9423: 9421: 9418: 9416: 9413: 9412: 9411: 9408: 9406: 9403: 9401: 9398: 9394: 9391: 9390: 9389: 9386: 9385: 9383: 9379: 9376: 9374: 9370: 9362: 9359: 9357: 9354: 9353: 9352: 9349: 9347: 9344: 9342: 9339: 9335: 9332: 9330: 9327: 9325: 9322: 9320: 9317: 9315: 9312: 9310: 9307: 9305: 9302: 9301: 9300: 9297: 9295: 9292: 9290: 9287: 9285: 9282: 9278: 9275: 9274: 9273: 9270: 9266: 9263: 9261: 9258: 9256: 9253: 9251: 9248: 9247: 9246: 9243: 9239: 9236: 9234: 9231: 9229: 9226: 9225: 9224: 9221: 9219: 9216: 9214: 9211: 9209: 9206: 9202: 9199: 9198: 9197: 9194: 9192: 9189: 9188: 9186: 9184: 9180: 9172: 9169: 9167: 9164: 9163: 9162: 9159: 9155: 9152: 9150: 9147: 9145: 9142: 9140: 9137: 9136: 9135: 9132: 9128: 9125: 9121: 9118: 9116: 9113: 9112: 9111: 9108: 9104: 9101: 9099: 9096: 9095: 9094: 9091: 9087: 9084: 9083: 9082: 9079: 9077: 9074: 9072: 9069: 9068: 9067: 9064: 9060: 9057: 9056: 9055: 9052: 9048: 9045: 9044: 9043: 9040: 9036: 9033: 9031: 9028: 9026: 9023: 9021: 9018: 9017: 9016: 9013: 9011: 9008: 9006: 9003: 8997: 8996:peak farmland 8994: 8993: 8992: 8989: 8988: 8987: 8984: 8983: 8981: 8979: 8975: 8969: 8966: 8962: 8959: 8957: 8954: 8953: 8952: 8949: 8947: 8944: 8942: 8939: 8937: 8934: 8931: 8927: 8923: 8919: 8915: 8912: 8910: 8907: 8905: 8902: 8900: 8897: 8896: 8894: 8892: 8888: 8878: 8875: 8873: 8870: 8868: 8865: 8864: 8862: 8858: 8852: 8849: 8845: 8839: 8838: 8837: 8834: 8832: 8829: 8827: 8824: 8822: 8816: 8815: 8813: 8811: 8807: 8804: 8802: 8798: 8794: 8787: 8782: 8780: 8775: 8773: 8768: 8767: 8764: 8752: 8744: 8743: 8740: 8730: 8729: 8725: 8721: 8718: 8716: 8713: 8712: 8711: 8708: 8704: 8701: 8699: 8696: 8692: 8689: 8688: 8687: 8684: 8680: 8677: 8676: 8675: 8672: 8671: 8670: 8667: 8665: 8662: 8660: 8657: 8656: 8653: 8646: 8642: 8639: 8637: 8634: 8632: 8629: 8627: 8624: 8622: 8620:(abiogenesis) 8616: 8615: 8612: 8609: 8607: 8603: 8597: 8594: 8592: 8589: 8587: 8584: 8582: 8579: 8577: 8574: 8572: 8569: 8568: 8566: 8564: 8560: 8552: 8549: 8547: 8544: 8543: 8542: 8539: 8537: 8534: 8532: 8529: 8527: 8524: 8522: 8519: 8517: 8514: 8512: 8509: 8507: 8504: 8502: 8496: 8494: 8491: 8490: 8488: 8486: 8482: 8476: 8473: 8471: 8468: 8466: 8463: 8461: 8458: 8456: 8453: 8451: 8448: 8445: 8441: 8438: 8436: 8435:Earth science 8433: 8432: 8430: 8428: 8424: 8418: 8415: 8411: 8408: 8406: 8403: 8402: 8401: 8398: 8396: 8393: 8391: 8388: 8386: 8383: 8382: 8380: 8378: 8374: 8370: 8362: 8357: 8355: 8350: 8348: 8343: 8342: 8339: 8327: 8326: 8317: 8315: 8314: 8309: 8305: 8303: 8302: 8293: 8291: 8290: 8281: 8280: 8277: 8271: 8268: 8266: 8263: 8261: 8258: 8257: 8255: 8251: 8245: 8244:United States 8242: 8240: 8239:South America 8237: 8235: 8232: 8230: 8227: 8225: 8222: 8220: 8217: 8215: 8212: 8210: 8207: 8205: 8202: 8200: 8197: 8195: 8192: 8190: 8187: 8185: 8182: 8178: 8175: 8174: 8173: 8172:Energy policy 8170: 8168: 8165: 8163: 8160: 8156: 8153: 8151: 8148: 8146: 8143: 8142: 8141: 8138: 8137: 8135: 8133: 8127: 8119: 8116: 8114: 8111: 8110: 8109: 8106: 8102: 8099: 8097: 8096:Solar furnace 8094: 8093: 8092: 8089: 8085: 8082: 8080: 8077: 8076: 8075: 8072: 8070: 8067: 8063: 8060: 8058: 8055: 8054: 8053: 8052:Nuclear power 8050: 8046: 8043: 8041: 8038: 8036: 8033: 8032: 8031: 8028: 8026: 8023: 8019: 8016: 8014: 8011: 8010: 8009: 8006: 8004: 8001: 7999: 7996: 7994: 7991: 7989: 7986: 7985: 7983: 7979: 7978:Energy system 7975: 7969: 7966: 7964: 7961: 7959: 7956: 7952: 7949: 7948: 7947: 7944: 7942: 7939: 7937: 7934: 7932: 7931:Gravitational 7929: 7927: 7924: 7920: 7917: 7915: 7912: 7910: 7907: 7906: 7905: 7902: 7900: 7897: 7896: 7894: 7892: 7888: 7882: 7879: 7877: 7874: 7872: 7869: 7867: 7864: 7860: 7859:Hydrogen fuel 7857: 7856: 7855: 7852: 7848: 7845: 7844: 7843: 7840: 7836: 7833: 7831: 7828: 7827: 7826: 7823: 7821: 7818: 7816: 7813: 7811: 7808: 7806: 7803: 7802: 7800: 7798: 7794: 7788: 7785: 7783: 7780: 7778: 7775: 7773: 7770: 7768: 7765: 7763: 7760: 7758: 7755: 7753: 7750: 7748: 7745: 7743: 7740: 7738: 7735: 7733: 7730: 7728: 7725: 7723: 7720: 7718: 7715: 7713: 7710: 7708: 7705: 7703: 7700: 7698: 7695: 7693: 7690: 7686: 7683: 7682: 7681: 7680:Gravitational 7678: 7676: 7673: 7671: 7668: 7666: 7663: 7661: 7658: 7656: 7653: 7649: 7646: 7645: 7644: 7641: 7640: 7638: 7634: 7626: 7623: 7621: 7618: 7616: 7613: 7611: 7608: 7606: 7603: 7601: 7598: 7596: 7593: 7591: 7588: 7586: 7583: 7581: 7578: 7576: 7573: 7571: 7568: 7566: 7563: 7561: 7558: 7556: 7553: 7551: 7550:Heat transfer 7548: 7546: 7545:Heat capacity 7543: 7541: 7538: 7536: 7533: 7531: 7528: 7526: 7523: 7521: 7518: 7517: 7516: 7513: 7511: 7508: 7504: 7501: 7499: 7498:Negative mass 7496: 7495: 7494: 7491: 7489: 7486: 7484: 7481: 7479: 7478:Energy system 7476: 7474: 7471: 7469: 7466: 7462: 7459: 7458: 7457: 7454: 7452: 7449: 7447: 7444: 7443: 7441: 7435: 7429: 7426: 7424: 7421: 7419: 7416: 7415: 7412: 7408: 7401: 7396: 7394: 7389: 7387: 7382: 7381: 7378: 7371: 7367: 7363: 7360: 7359: 7351: 7349: 7345: 7344: 7333: 7327: 7323: 7318: 7314: 7308: 7304: 7299: 7297: 7293: 7290: 7286: 7282: 7267: 7263: 7256: 7251: 7248: 7247:0-7167-0938-4 7244: 7240: 7239: 7234: 7231: 7220: 7216: 7212: 7207: 7204: 7200: 7196: 7192: 7191: 7186: 7185:0-7167-0945-7 7182: 7178: 7177: 7172: 7171: 7166: 7162: 7161: 7155: 7154: 7140: 7136: 7131: 7126: 7122: 7118: 7114: 7110: 7106: 7102: 7098: 7091: 7083: 7079: 7075: 7071: 7067: 7063: 7056: 7047: 7042: 7038: 7034: 7031:(4): 405–26. 7030: 7026: 7022: 7015: 7007: 7001: 6997: 6990: 6983: 6977: 6962: 6958: 6956:9781107016651 6952: 6948: 6947: 6939: 6924: 6920: 6916: 6910: 6896:on 2011-05-14 6895: 6891: 6884: 6869: 6865: 6859: 6855: 6851: 6844: 6842: 6834: 6830: 6827: 6826: 6820: 6818: 6808: 6800: 6794: 6790: 6783: 6781: 6765: 6761: 6755: 6748: 6744: 6740: 6737: 6731: 6715: 6711: 6704: 6689: 6685: 6679: 6672: 6667: 6659: 6653: 6649: 6642: 6634: 6628: 6624: 6617: 6601: 6597: 6593: 6586: 6571: 6567: 6566:Nuclear Power 6563: 6557: 6542: 6538: 6534: 6530: 6526: 6522: 6518: 6514: 6510: 6506: 6505: 6500: 6493: 6479: 6475: 6469: 6465: 6451: 6445: 6438: 6432: 6425: 6421: 6415: 6408: 6404: 6399: 6392: 6388: 6382: 6378: 6367: 6364: 6362: 6359: 6357: 6354: 6352: 6349: 6347: 6344: 6342: 6341:Power station 6339: 6337: 6334: 6332: 6329: 6327: 6324: 6322: 6319: 6317: 6314: 6312: 6309: 6307: 6306:Energy crisis 6304: 6302: 6299: 6297: 6294: 6292: 6289: 6288: 6283: 6277: 6272: 6269: 6263: 6258: 6255: 6254:Energy portal 6249: 6244: 6237: 6235: 6231: 6227: 6223: 6222:energy states 6219: 6215: 6210: 6208: 6204: 6200: 6196: 6192: 6182: 6168: 6165: 6145: 6142: 6119: 6116: 6113: 6110: 6107: 6104: 6101: 6089: 6088: 6087: 6085: 6081: 6077: 6072: 6070: 6066: 6062: 6058: 6054: 6051: 6047: 6044: 6023: 6015: 6012: 6009: 6001: 5998: 5995: 5983: 5982: 5981: 5979: 5975: 5971: 5967: 5957: 5954: 5936: 5929: 5927: 5913: 5904: 5900: 5897: 5894: 5891: 5888: 5885: 5875: 5874: 5871: 5851: 5841: 5831: 5829: 5820: 5813: 5811: 5797: 5794: 5791: 5779: 5778: 5775: 5773: 5769: 5753: 5733: 5713: 5693: 5680: 5673: 5671: 5657: 5654: 5651: 5648: 5645: 5633: 5632: 5629: 5627: 5622: 5620: 5616: 5612: 5608: 5604: 5600: 5596: 5592: 5580: 5570: 5568: 5564: 5563:Casimir force 5560: 5556: 5555:Coulomb's law 5552: 5548: 5544: 5540: 5536: 5532: 5528: 5523: 5521: 5517: 5513: 5492: 5489: 5484: 5481: 5475: 5465: 5464: 5463: 5461: 5457: 5452: 5450: 5445: 5443: 5438: 5433: 5429: 5424: 5417: 5416: 5409: 5407: 5406: 5401: 5395: 5393: 5389: 5387: 5383: 5379: 5375: 5371: 5366: 5364: 5360: 5356: 5355:closed system 5352: 5348: 5342: 5332: 5330: 5326: 5320: 5316: 5314: 5310: 5300: 5298: 5294: 5290: 5284: 5282: 5264: 5260: 5256: 5253: 5230: 5226: 5217: 5212: 5210: 5206: 5202: 5198: 5194: 5190: 5186: 5183: =  5182: 5178: 5167: 5147: 5143: 5138: 5134: 5130: 5125: 5121: 5098: 5094: 5090: 5085: 5082: 5077: 5072: 5068: 5047: 5044: 5041: 5038: 5033: 5029: 5015: 5008: 5006: 4990: 4987: 4983: 4979: 4974: 4971: 4967: 4963: 4958: 4955: 4951: 4947: 4942: 4939: 4935: 4927: 4926: 4923: 4921: 4903: 4899: 4876: 4872: 4862: 4860: 4856: 4852: 4848: 4844: 4840: 4836: 4831: 4829: 4825: 4821: 4817: 4813: 4812:fission bombs 4809: 4808:nuclear decay 4805: 4801: 4797: 4793: 4789: 4785: 4780: 4778: 4774: 4770: 4766: 4762: 4757: 4755: 4750: 4745: 4740: 4738: 4734: 4730: 4726: 4722: 4718: 4714: 4710: 4706: 4702: 4698: 4694: 4686: 4681: 4672: 4668: 4665: 4664: 4661: 4657: 4655: 4652: 4651: 4647: 4643: 4639: 4637: 4634: 4633: 4629: 4627: 4623: 4622: 4618: 4611: 4601: 4599: 4595: 4591: 4587: 4583: 4579: 4575: 4571: 4566: 4562: 4560: 4555: 4553: 4552:pair creation 4549: 4545: 4541: 4537: 4515: 4511: 4503: 4500: 4496: 4493: 4490: 4483: 4480: 4479: 4478: 4464: 4459: 4455: 4449: 4445: 4441: 4436: 4432: 4423: 4421: 4417: 4413: 4409: 4405: 4401: 4391: 4389: 4373: 4365: 4349: 4329: 4326: 4323: 4320: 4312: 4308: 4304: 4300: 4299:wave function 4295: 4291: 4290:wave function 4287: 4283: 4277: 4267: 4265: 4263: 4259: 4254: 4251: 4247: 4243: 4239: 4235: 4231: 4227: 4217: 4214: 4210: 4206: 4202: 4197: 4194: 4189: 4187: 4183: 4179: 4175: 4171: 4167: 4163: 4159: 4155: 4151: 4147: 4137: 4135: 4131: 4127: 4123: 4118: 4113: 4108: 4104: 4096: 4093: 4090: 4089: 4088: 4086: 4082: 4078: 4062: 4060: 4056: 4031: 4022: 4019: 4011: 4002: 3991: 3977: 3974: 3968: 3961: 3953: 3940: 3927: 3893: 3884: 3881: 3873: 3864: 3853: 3844: 3841: 3833: 3820: 3807: 3794: 3790: 3786: 3770: 3754: 3750: 3744: 3742: 3738: 3734: 3730: 3725: 3721: 3720:of 80 watts. 3719: 3715: 3711: 3707: 3703: 3699: 3695: 3694:carbohydrates 3691: 3687: 3683: 3679: 3672: 3667: 3662: 3658: 3657:Bioenergetics 3648: 3646: 3642: 3638: 3634: 3630: 3626: 3622: 3618: 3614: 3612: 3608: 3604: 3599: 3595: 3585: 3583: 3579: 3577: 3573: 3569: 3565: 3560: 3558: 3554: 3549: 3547: 3543: 3539: 3536:along a path 3535: 3532: 3528: 3527:line integral 3512: 3479: 3469: 3465: 3461: 3458: 3451: 3450: 3449: 3447: 3443: 3441: 3435: 3431: 3427: 3415: 3410: 3408: 3403: 3401: 3396: 3395: 3393: 3392: 3386: 3376: 3373: 3368: 3362: 3361: 3360: 3359: 3351: 3348: 3346: 3343: 3341: 3338: 3336: 3333: 3331: 3328: 3326: 3323: 3321: 3318: 3316: 3313: 3311: 3308: 3306: 3303: 3301: 3298: 3296: 3293: 3291: 3288: 3286: 3283: 3281: 3278: 3276: 3273: 3271: 3268: 3266: 3263: 3261: 3258: 3256: 3253: 3251: 3248: 3246: 3243: 3241: 3238: 3236: 3233: 3232: 3225: 3224: 3217: 3213: 3209: 3205: 3202: 3201: 3197: 3194: 3192: 3189: 3187: 3184: 3182: 3179: 3175: 3172: 3171: 3170: 3167: 3165: 3162: 3160: 3157: 3155: 3152: 3151: 3147: 3142: 3141: 3133: 3130: 3128: 3125: 3121: 3118: 3116: 3113: 3112: 3111: 3108: 3106: 3103: 3101: 3098: 3096: 3091: 3088: 3084: 3081: 3080: 3076: 3073: 3070: 3066: 3062: 3061: 3057: 3054: 3052: 3049: 3047: 3044: 3042: 3037: 3035: 3032: 3030: 3027: 3025: 3022: 3021: 3014: 3013: 3002: 2999: 2997: 2994: 2992: 2989: 2987: 2984: 2982: 2979: 2977: 2974: 2973: 2971: 2970: 2965: 2962: 2961: 2956: 2955: 2949: 2948: 2940: 2937: 2935: 2932: 2930: 2927: 2925: 2922: 2920: 2917: 2915: 2912: 2910: 2907: 2905: 2901: 2899: 2896: 2894: 2890: 2888: 2885: 2882: 2878: 2874: 2872: 2869: 2867: 2864: 2862: 2859: 2857: 2854: 2850: 2847: 2845: 2842: 2841: 2840: 2837: 2835: 2832: 2830: 2827: 2825: 2822: 2820: 2817: 2816: 2809: 2808: 2800: 2797: 2795: 2792: 2790: 2787: 2785: 2782: 2780: 2777: 2775: 2772: 2770: 2767: 2765: 2762: 2761: 2754: 2753: 2747: 2744: 2742: 2739: 2737: 2734: 2733: 2731: 2730: 2726: 2707: 2704: 2694: 2688: 2674: 2673: 2670: 2667: 2666: 2662: 2661: 2648: 2646: 2642: 2638: 2634: 2630: 2626: 2622: 2618: 2614: 2609: 2607: 2603: 2599: 2595: 2591: 2587: 2583: 2579: 2574: 2572: 2568: 2564: 2557: 2548: 2539: 2537: 2533: 2529: 2525: 2521: 2517: 2513: 2509: 2505: 2501: 2497: 2493: 2488: 2486: 2482: 2478: 2474: 2470: 2466: 2462: 2458: 2454: 2450: 2446: 2441: 2439: 2435: 2434: 2429: 2425: 2421: 2417: 2412: 2408: 2407: 2402: 2398: 2393: 2391: 2385: 2379: 2378: 2371: 2362: 2361:Ancient Greek 2358: 2350: 2346: 2341: 2337: 2322: 2318: 2316: 2312: 2309: 2305: 2301: 2299: 2295: 2292: 2288: 2284: 2281: 2279: 2275: 2271: 2269: 2265: 2261: 2257: 2255: 2251: 2247: 2245: 2241: 2238: 2234: 2231: 2227: 2225: 2224:Chromodynamic 2221: 2217: 2213: 2210: 2206: 2204: 2200: 2196: 2192: 2190: 2186: 2182: 2180: 2176: 2172: 2170: 2169:Gravitational 2166: 2162: 2160: 2156: 2152: 2150: 2146: 2142: 2138: 2136: 2132: 2124: 2118: 2116: 2112: 2111:nuclear force 2108: 2104: 2098: 2096: 2092: 2088: 2084: 2080: 2076: 2072: 2064: 2060: 2056: 2052: 2045: 2041: 2037: 2033: 2029: 2025: 2022:In a typical 2020: 2011: 2009: 2005: 2001: 1997: 1993: 1989: 1985: 1981: 1977: 1973: 1968: 1966: 1962: 1958: 1954: 1950: 1946: 1942: 1938: 1934: 1930: 1926: 1922: 1917: 1915: 1911: 1907: 1903: 1899: 1895: 1891: 1887: 1883: 1879: 1875: 1871: 1867: 1863: 1860: 1856: 1853: 1846: 1842: 1839: 1838:Ancient Greek 1835: 1824: 1819: 1817: 1812: 1810: 1805: 1804: 1802: 1801: 1796: 1788: 1787: 1786: 1785: 1778: 1775: 1773: 1770: 1768: 1767:Self-assembly 1765: 1763: 1760: 1759: 1753: 1752: 1744: 1741: 1739: 1738:van der Waals 1736: 1734: 1731: 1729: 1726: 1724: 1721: 1719: 1716: 1714: 1711: 1709: 1706: 1704: 1701: 1699: 1696: 1694: 1691: 1689: 1686: 1684: 1681: 1679: 1676: 1674: 1671: 1669: 1666: 1664: 1663:von Helmholtz 1661: 1659: 1656: 1654: 1651: 1649: 1646: 1644: 1641: 1639: 1636: 1634: 1631: 1629: 1626: 1624: 1621: 1619: 1616: 1614: 1611: 1610: 1603: 1602: 1591: 1588: 1586: 1583: 1582: 1581: 1580: 1573: 1570: 1569: 1567: 1566: 1560: 1557: 1555: 1552: 1551: 1549: 1548: 1544: 1543: 1537: 1536: 1529: 1526: 1525: 1518: 1515: 1514: 1507: 1506: 1505: 1504: 1501: 1498: 1497: 1492: 1489: 1487: 1484: 1482: 1478: 1474: 1473: 1469: 1466: 1465: 1463: 1462: 1458: 1457: 1451: 1448: 1446: 1443: 1441: 1438: 1436: 1433: 1431: 1428: 1426: 1423: 1421: 1418: 1417: 1415: 1414: 1411: 1408: 1407: 1402: 1399: 1398: 1394: 1391: 1389: 1386: 1384: 1381: 1380: 1378: 1377: 1373: 1372: 1363: 1360: 1359: 1355: 1354: 1334: 1331: 1328: 1325: 1322: 1316: 1313: 1310: 1304: 1296: 1293: 1279: 1276: 1273: 1270: 1267: 1261: 1258: 1255: 1249: 1241: 1238: 1224: 1221: 1218: 1215: 1212: 1206: 1203: 1200: 1194: 1186: 1183: 1166: 1163: 1160: 1154: 1146: 1143: 1142: 1137: 1134: 1132: 1129: 1128: 1124: 1119: 1118: 1111: 1110: 1106: 1104: 1101: 1099: 1096: 1094: 1091: 1090: 1086: 1085:Ideal gas law 1083: 1081: 1078: 1076: 1073: 1071: 1068: 1067: 1063: 1058: 1057: 1031: 1021: 1007: 1000: 999: 984: 974: 960: 953: 952: 949: 935: 932: 925: 922: 919: 918: 899: 889: 875: 868: 867: 852: 842: 828: 821: 820: 817: 803: 800: 797: 790: 787: 784: 783: 764: 754: 740: 733: 732: 717: 707: 693: 686: 685: 682: 668: 665: 658: 655: 652: 651: 645: 642: 641: 638: 633: 632: 621: 618: 616: 615:Vapor quality 613: 611: 610: 605: 602: 600: 599: 594: 591: 588: 584: 583: 578: 575: 574: 573: 572: 569: 566: 565: 559: 556: 554: 551: 550: 548: 547: 544: 541: 540: 535: 532: 530: 527: 526: 525: 524: 520: 516: 509: 504: 503: 492: 489: 487: 484: 482: 479: 478: 477: 476: 473: 470: 469: 464: 461: 459: 456: 454: 453:Reversibility 451: 449: 446: 444: 441: 439: 436: 434: 431: 429: 426: 424: 421: 419: 416: 414: 411: 409: 406: 405: 404: 403: 400: 397: 396: 391: 388: 386: 383: 381: 378: 376: 373: 371: 368: 366: 363: 361: 358: 356: 353: 352: 351: 350: 347: 344: 343: 338: 335: 333: 330: 328: 327:Closed system 325: 324: 321: 316: 315: 307: 304: 302: 299: 297: 294: 292: 289: 288: 284: 279: 278: 271: 267: 264: 263: 259: 256: 254: 251: 249: 246: 244: 241: 240: 233: 232: 228: 222: 218: 217: 214: 211: 210: 203: 200: 197: 194: 192: 188: 185: 182: 179: 175: 171: 168: 164: 160: 158: 151: 148: 144: 140: 136: 132: 128: 125: 119: 116: 113: 111: 107: 104: 101: 95: 91: 87: 83: 79: 75: 71: 67: 61: 56: 51: 48: 44: 37: 33: 19: 9826: / 9700:Exploitation 9585:Conservation 9528:Desalination 9463: 9356:conservation 9191:Biodiversity 9139:conservation 8986:Agricultural 8914:Fossil fuels 8890: 8726: 8659:Biodiversity 8645:astrobiology 8394: 8367:Elements of 8323: 8311: 8299: 8287: 8069:Oil refinery 8013:Cogeneration 7946:Nuclear fuel 7752:Quintessence 7540:Free entropy 7473:Energy level 7455: 7437:Fundamental 7406: 7347: 7321: 7302: 7284: 7273:. Retrieved 7261: 7236: 7232: 7223:. Retrieved 7214: 7201:trends, and 7188: 7174: 7167: 7159: 7104: 7100: 7090: 7065: 7061: 7055: 7028: 7024: 7014: 6995: 6989: 6981: 6976: 6965:. Retrieved 6945: 6938: 6927:. Retrieved 6918: 6909: 6898:. Retrieved 6894:the original 6883: 6872:. Retrieved 6853: 6824: 6807: 6788: 6768:. Retrieved 6754: 6746: 6730: 6718:. Retrieved 6703: 6692:. Retrieved 6678: 6666: 6647: 6641: 6622: 6616: 6604:. Retrieved 6595: 6585: 6574:. Retrieved 6565: 6556: 6544:. Retrieved 6511:(1): 61–65. 6508: 6502: 6492: 6481:. Retrieved 6477: 6468: 6444: 6431: 6414: 6398: 6381: 6218:distribution 6211: 6188: 6134: 6083: 6079: 6073: 6068: 6064: 6060: 6056: 6052: 6045: 6040: 5977: 5963: 5951: 5930: 5840:open systems 5837: 5834:Open systems 5825: 5814: 5685: 5674: 5623: 5588: 5524: 5519: 5515: 5509: 5453: 5446: 5425: 5421: 5413: 5403: 5399: 5397: 5390: 5370:heat engines 5367: 5344: 5321: 5317: 5306: 5285: 5213: 5197:J.J. Thomson 5184: 5180: 5173: 5020: 5009: 4863: 4832: 4781: 4758: 4741: 4697:efficiencies 4690: 4630:Description 4576:to time. In 4567: 4563: 4556: 4533: 4494: 4491:of the body, 4481: 4424: 4404:massive body 4397: 4303:energy level 4279: 4266: 4255: 4223: 4198: 4190: 4186:solar energy 4143: 4100: 4074: 3793:mitochondria 3745: 3728: 3726: 3722: 3675: 3640: 3636: 3632: 3628: 3624: 3615: 3591: 3580: 3575: 3561: 3550: 3537: 3533: 3504: 3444: 3437: 3214: / 3210: / 3208:displacement 3206: / 3067: / 3029:Displacement 2967: 2958: 2952:Formulations 2939:Virtual work 2879: / 2838: 2819:Acceleration 2812:Fundamentals 2637:food calorie 2633:electronvolt 2627:unit is the 2610: 2606:kilocalories 2582:derived unit 2575: 2559: 2520:JoĆŸef Stefan 2489: 2448: 2445:Thomas Young 2442: 2431: 2419: 2410: 2394: 2356: 2354: 2349:Thomas Young 2306:an object's 2289:, including 2214:to form the 2129:Description 2099: 2068: 2040:sound energy 2036:light energy 2026:strike, 500 2000:nuclear fuel 1996:fossil fuels 1969: 1918: 1912:(SI) is the 1892:—the law of 1859:quantitative 1851: 1848: 1841: 1833: 1832: 1628:CarathĂ©odory 1559:Heat engines 1531: 1520: 1509: 1491:Motive power 1476: 1136:Free entropy 1107: 607: 606: / 596: 595: / 587:introduction 580: 579: / 518: 481:Heat engines 268: / 201: 198: 195: 110:SI unit 102: 88:and a faint 66:plasma globe 47: 9819:Nationalism 9791:Common-pool 9432:Hydrosphere 9425:remediation 9410:Groundwater 9005:Degradation 8710:Prokaryotes 8498:Atmosphere 8493:Meteorology 8325:WikiProject 8145:Agriculture 8074:Solar power 8040:Tidal power 7914:Natural gas 7904:Fossil fuel 7847:Latent heat 7815:Electricity 7068:(1): 1–45. 6789:Gravitation 6686:. Uic.edu. 6546:February 5, 6063:and volume 6043:temperature 5559:spontaneous 5329:heat engine 4737:heat engine 4731:through an 4701:transducers 4693:transformed 4646:temperature 4420:rest energy 4414:instead of 4162:earthquakes 3690:respiration 3661:Food energy 3611:endothermic 3553:Hamiltonian 3350:von Neumann 3017:Core topics 2492:Lord Kelvin 2455:described " 2321:microscopic 2260:oscillation 2141:macroscopic 2139:the sum of 1961:rest energy 1947:carried by 1906:measurement 1866:transferred 1450:Synergetics 1131:Free energy 577:Temperature 438:Quasistatic 433:Isenthalpic 390:Instruments 380:Equilibrium 332:Open system 266:Equilibrium 248:Statistical 122:Other units 9865:Categories 9814:Extraction 9773:Wilderness 9734:accounting 9717:Management 9683:ecological 9671:tragedy of 9590:Peak water 9575:Efficiency 9548:Sanitation 9490:Stormwater 9483:harvesting 9459:Irrigation 9361:management 9319:gene banks 9260:management 9238:management 9154:resilience 9120:phosphorus 9076:industrial 9054:Management 9030:soundscape 8936:Geothermal 8591:Wilderness 8444:geological 8108:Wind power 8030:Hydropower 7981:components 7936:Hydropower 7926:Geothermal 7876:Sound wave 7787:Zero-point 7717:Mechanical 7702:Ionization 7675:Electrical 7570:Negentropy 7451:Energetics 7372:) – BioCab 7225:2017-04-12 7199:population 6967:2022-05-22 6929:2010-12-12 6900:2010-12-12 6874:2022-05-04 6770:2010-12-12 6720:2009-05-29 6694:2010-12-12 6576:2022-07-06 6483:2024-08-28 6460:References 6420:waste heat 6291:Combustion 5565:, for the 5378:waste heat 4796:supernovae 4548:antimatter 4501:in vacuum, 4406:from zero 4394:Relativity 4209:orogenesis 4182:atmosphere 4178:hurricanes 4126:food chain 4077:metabolism 3737:catabolism 3714:metabolism 3704:stored by 3603:exothermic 3564:Lagrangian 3285:d'Alembert 3265:Maupertuis 3228:Scientists 3110:Rigid body 2784:Kinematics 2629:foot pound 2483:. In 1845 2268:Sound wave 2262:of matter 2189:Ionization 2135:Mechanical 2115:weak force 2103:rotational 2028:megajoules 1980:ecosystems 1836:(from 1762:Nucleation 1606:Scientists 1410:Philosophy 1123:Potentials 486:Heat pumps 443:Polytropic 428:Isentropic 418:Isothermal 161:J = kg⋅m⋅s 147:foot-pound 72:to create 18:Energizers 9824:Renewable 9809:Depletion 9796:Conflict 9678:Economics 9656:enclosure 9615:Resources 9595:Pollution 9512:Watershed 9415:pollution 9346:Seed bank 9341:Rangeland 9223:Fisheries 9208:Biosphere 9201:biopiracy 9144:fertility 9020:cityscape 9015:Landscape 8922:peak coal 8909:Resources 8860:Emissions 8669:Eukaryota 8636:Hierarchy 8631:Biosphere 8596:Wildfires 8586:Radiation 8576:Ecosystem 8516:Moonlight 8450:Structure 8405:particles 8219:Australia 8155:Transport 8150:Computing 8118:Wind farm 8045:Wave farm 7919:Petroleum 7899:Bioenergy 7871:Radiation 7810:Capacitor 7732:Potential 7170:Biosphere 7025:Phys. Rev 6541:266084433 6525:0036-8148 6166:δ 6143:δ 6117:δ 6108:δ 6076:advection 6013:− 5883:Δ 5787:Δ 5641:Δ 5626:first law 5490:ℏ 5485:≥ 5479:Δ 5473:Δ 5257:× 4735:), and a 4594:spacetime 4489:rest mass 4374:ν 4330:ν 4238:supernova 4220:Cosmology 4174:tornadoes 4158:volcanoes 4068:→ ATP + H 4064:ADP + HPO 4000:⟶ 3862:⟶ 3686:organelle 3607:exergonic 3594:chemistry 3588:Chemistry 3480:⋅ 3466:∫ 3426:Mechanics 3330:Liouville 3212:frequency 3132:Vibration 2849:potential 2774:Continuum 2769:Celestial 2746:Textbooks 2536:conjugate 2443:In 1807, 2390:Aristotle 2370:romanized 2355:The word 2308:rest mass 2024:lightning 1965:rest mass 1898:converted 1743:Waterston 1693:von Mayer 1648:de Donder 1638:Clapeyron 1618:Boltzmann 1613:Bernoulli 1574:Education 1545:Timelines 1329:− 1274:− 1062:Equations 1029:∂ 982:∂ 933:α 897:∂ 850:∂ 804:− 798:β 762:∂ 715:∂ 423:Adiabatic 413:Isochoric 399:Processes 360:Ideal gas 243:Classical 191:Dimension 178:Conserved 167:Extensive 9886:Universe 9850:Category 9783:Resource 9722:adaptive 9620:improved 9580:Conflict 9565:Security 9560:Scarcity 9553:improved 9543:Leaching 9420:recharge 9400:Drinking 9351:Wildlife 9218:Bushmeat 9213:Bushfood 9166:planning 9071:gemstone 9066:Minerals 9047:property 9035:viewshed 9025:seascape 8956:sunlight 8930:peak oil 8926:peak gas 8751:Category 8720:bacteria 8703:protista 8664:Organism 8531:Sunlight 8377:Universe 8289:Category 7854:Hydrogen 7820:Enthalpy 7722:Negative 7712:Magnetic 7697:Internal 7655:Chemical 7520:Enthalpy 7439:concepts 7366:Archived 7341:Journals 7292:Archived 7287:(2018), 7275:10 April 7266:Archived 7219:Archived 7211:"ch. 11" 7139:25662746 7107:: 8323. 7101:Sci. Rep 6961:Archived 6923:Archived 6868:Archived 6829:Archived 6764:Archived 6739:Archived 6714:Archived 6688:Archived 6600:Archived 6592:"Energy" 6570:Archived 6533:27133353 6403:Crystals 6240:See also 5974:pressure 5535:momentum 5411:—  5203:(1900), 5199:(1881), 4859:pendulum 4855:friction 4835:pendulum 4784:Big Bang 4767:and the 4617:transfer 4540:positron 4536:electron 4262:Big Bang 4107:machines 3749:Calories 3743:action. 3702:proteins 3566:, after 3555:, after 3385:Category 3310:Hamilton 3295:Lagrange 3290:Clairaut 3255:Horrocks 3216:velocity 3186:Pendulum 3174:reactive 3146:Rotation 3115:dynamics 3065:Inertial 3051:Friction 2934:Velocity 2909:Momentum 2789:Kinetics 2779:Dynamics 2757:Branches 2741:Timeline 2623:and the 2594:calories 2571:friction 2481:momentum 2449:vis viva 2438:momentum 2420:vis viva 2411:vis viva 2406:vis viva 2377:energeia 2365:áŒÎœÎ­ÏÎłÎ”Îčα 2235:to form 2212:nucleons 2179:Chemical 2159:Magnetic 2149:Electric 2083:movement 1994:such as 1872:or to a 1864:that is 1862:property 1852:enĂ©rgeia 1845:áŒÎœÎ­ÏÎłÎ”Îčα 1795:Category 1733:Thompson 1643:Clausius 1623:Bridgman 1477:Vis viva 1459:Theories 1393:Gas laws 1185:Enthalpy 593:Pressure 408:Isobaric 365:Real gas 253:Chemical 236:Branches 86:movement 68:, using 9651:Commons 9640:Related 9605:Quality 9521:Aspects 9447:glacial 9388:Aquifer 9294:Pasture 9245:Forests 9171:reserve 8946:Nuclear 8916: ( 8872:Trading 8867:Airshed 8728:Viruses 8715:archaea 8691:animals 8643: ( 8641:Biology 8618:Origin 8571:Ecology 8546:tornado 8506:Climate 8500:(Earth) 8485:Weather 8455:Geology 8442: ( 8440:History 8301:Commons 8129:Use and 7988:Biomass 7958:Radiant 7805:Battery 7777:Thermal 7772:Surface 7757:Radiant 7727:Phantom 7707:Kinetic 7685:Binding 7665:Elastic 7648:Nuclear 7643:Binding 7530:Entropy 7428:Outline 7418:History 7130:4321171 7109:Bibcode 7070:Bibcode 7033:Bibcode 6919:EECS20N 6214:entropy 6195:kinetic 6050:entropy 5557:), for 4824:kinetic 4806:), and 4804:thorium 4800:uranium 4773:entropy 4725:turbine 4705:battery 4648:object 4626:process 4497:is the 4487:is the 4388:photons 4362:is the 4342:(where 4250:stellar 4242:quasars 4146:geology 4122:ecology 3791:in the 3769:stearin 3753:glucose 3678:biology 3651:Biology 3529:of the 3345:Koopman 3305:Poisson 3300:Laplace 3245:Huygens 3240:Galileo 3085: ( 3024:Damping 2877:Inertia 2871:Impulse 2844:kinetic 2794:Statics 2764:Applied 2736:History 2576:In the 2512:entropy 2477:caloric 2386:  2372::  2330:History 2315:Thermal 2278:Radiant 2244:Elastic 2237:hadrons 2203:Nuclear 2113:or the 2059:kinetic 1976:climate 1931:), the 1718:Smeaton 1713:Rankine 1703:Onsager 1688:Maxwell 1683:Massieu 1388:Entropy 1383:General 1374:History 1364:Culture 1361:History 585: ( 582:Entropy 519:italics 320:Systems 135:calorie 9881:Nature 9661:global 9625:policy 9570:Supply 9533:Floods 9500:Sewage 9473:Marine 9465:huerta 9299:Plants 9289:Meadow 9149:health 9127:rights 9115:copper 9093:mining 8991:arable 8891:Energy 8831:Indoor 8679:plants 8511:Clouds 8475:Future 8465:Oceans 8417:Change 8400:Matter 8395:Energy 8369:nature 8313:Portal 8234:Mexico 8229:Europe 8224:Canada 8209:Africa 8132:supply 7941:Marine 7830:Fossil 7782:Vacuum 7535:Exergy 7456:Energy 7407:Energy 7328:  7309:  7289:online 7245:  7183:  7137:  7127:  7002:  6953:  6860:  6795:  6654:  6629:  6606:May 1, 6539:  6531:  6523:  6135:where 6084:closed 5909:matter 5856:matter 5686:where 5591:closed 5216:matter 4707:(from 4671:matter 4598:boosts 4544:matter 4477:where 4307:quanta 4292:. The 4160:, and 3767:) and 3741:enzyme 3700:, and 3698:lipids 3623:. The 3598:energy 3432:, and 3383:  3335:Appell 3320:Cauchy 3315:Jacobi 3260:Halley 3250:Newton 3235:Kepler 3087:linear 3083:Motion 2929:Torque 2904:Moment 2839:Energy 2829:Couple 2506:, and 2357:energy 2304:due to 2233:quarks 2071:system 2006:, and 1986:. The 1959:, and 1951:, the 1943:, the 1902:matter 1834:Energy 1708:Planck 1698:Nernst 1673:Kelvin 1633:Carnot 923:  788:  656:  598:Volume 513:Note: 472:Cycles 301:Second 291:Zeroth 74:plasma 53:Energy 9804:Curse 9610:Right 9452:polar 9442:bergs 9405:Fresh 9373:Water 9086:metal 9010:Field 8961:shade 8951:Solar 8941:Hydro 8826:Index 8698:fungi 8686:fauna 8674:flora 8581:Field 8536:Tides 8427:Earth 8385:Space 8253:Misc. 7963:Solar 7767:Sound 7636:Types 7510:Power 7461:Units 7423:Index 7269:(PDF) 7258:(PDF) 6537:S2CID 6529:JSTOR 6391:force 6387:power 6373:Notes 6203:cycle 5828:joule 5152:total 4660:force 4590:space 4408:speed 4230:stars 4130:fixed 4057:into 3789:water 3706:cells 3625:speed 3576:minus 3531:force 3340:Gibbs 3325:Routh 3280:Euler 2919:Speed 2914:Space 2856:Force 2401:Latin 2291:light 2230:binds 2209:binds 2195:binds 2095:field 2014:Forms 1929:field 1916:(J). 1914:joule 1886:light 1868:to a 1840: 1756:Other 1723:Stahl 1678:Lewis 1668:Joule 1658:Gibbs 1653:Duhem 346:State 306:Third 296:First 115:joule 90:sound 78:light 9739:good 9688:land 9666:land 9478:Rain 9334:wood 9309:food 9272:Game 9183:Life 9134:Soil 9110:peak 9103:sand 8978:Land 8968:Wind 8843:(US) 8820:(US) 8606:Life 8541:Wind 8526:Snow 8521:Rain 8390:Time 8214:Asia 7968:Wind 7909:Coal 7881:Work 7842:Heat 7825:Fuel 7762:Rest 7660:Dark 7625:Work 7493:Mass 7326:ISBN 7307:ISBN 7277:2009 7243:ISBN 7181:ISBN 7168:The 7135:PMID 7000:ISBN 6951:ISBN 6858:ISBN 6793:ISBN 6652:ISBN 6627:ISBN 6608:2007 6548:2024 6521:ISSN 6197:and 6048:and 5978:gain 5964:The 5603:heat 5599:work 5518:and 5449:mass 5372:the 5363:heat 5359:work 5311:and 5291:and 4826:and 4802:and 4761:work 4654:Work 4636:Heat 4546:and 4400:work 4366:and 4256:The 4244:and 4234:nova 4176:and 4170:hail 4085:work 3787:and 3682:cell 3659:and 3446:Work 2924:Time 2887:Mass 2641:kcal 2613:watt 2604:and 2590:ergs 2586:work 2384:lit. 2338:and 2298:Rest 2061:and 2042:and 1978:and 1970:All 1884:and 1882:heat 1878:work 1870:body 1728:Tait 558:Heat 553:Work 283:Laws 127:kW⋅h 82:heat 9538:Law 9437:Ice 9277:law 9255:law 9233:law 9161:Use 9098:law 9081:ore 9042:Law 8918:gas 8904:Law 8899:Bio 8836:Law 8801:Air 7835:Oil 7235:(A 7173:(A 7125:PMC 7117:doi 7078:doi 7066:426 7041:doi 6513:doi 5545:). 5525:In 5454:In 5400:law 5361:or 4794:of 4719:to 4711:to 4600:). 4596:(= 4568:In 4280:In 4224:In 4144:In 4132:by 4059:ATP 4055:ADP 3941:110 3777:110 3731:in 3684:or 3676:In 3605:or 2645:BTU 2621:erg 2617:CGS 2518:by 2030:of 1571:Art 517:in 184:yes 172:yes 153:In 143:erg 131:BTU 9867:: 8928:, 8924:, 8920:, 7260:. 7213:. 7197:, 7133:. 7123:. 7115:. 7103:. 7099:. 7076:. 7064:. 7039:. 7029:37 7027:. 7023:. 6959:. 6917:. 6866:. 6852:. 6840:^ 6816:^ 6779:^ 6712:. 6598:. 6594:. 6568:. 6564:. 6535:. 6527:. 6519:. 6509:59 6507:. 6501:. 6476:. 6080:PV 5774:, 5628:: 5621:. 5613:, 5299:. 5265:16 5261:10 5185:mc 5166:. 4818:, 4756:. 4683:A 4390:. 4313:: 4240:, 4236:, 4232:, 4188:. 4156:, 4152:, 4148:, 4087:: 4061:: 4023:55 4008:CO 4003:57 3969:81 3928:57 3870:CO 3821:12 3773:57 3771:(C 3761:12 3755:(C 3596:, 3428:, 2635:, 2600:, 2596:, 2592:, 2502:, 2403:: 2381:, 2367:, 2363:: 2077:, 2038:, 2010:. 2002:, 1998:, 1967:. 145:, 141:, 139:eV 137:, 133:, 129:, 84:, 80:, 76:, 64:A 8932:) 8785:e 8778:t 8771:v 8647:) 8446:) 8360:e 8353:t 8346:v 7399:e 7392:t 7385:v 7364:( 7334:. 7315:. 7279:. 7249:. 7228:. 7205:. 7141:. 7119:: 7111:: 7105:5 7084:. 7080:: 7072:: 7049:. 7043:: 7035:: 7008:. 6970:. 6932:. 6903:. 6877:. 6801:. 6773:. 6725:. 6723:. 6697:. 6660:. 6635:. 6610:. 6579:. 6550:. 6515:: 6486:. 6426:. 6169:W 6146:Q 6120:W 6114:+ 6111:Q 6105:= 6102:E 6098:d 6069:V 6065:V 6061:P 6057:S 6053:S 6046:T 6037:, 6024:V 6020:d 6016:P 6010:S 6006:d 6002:T 5999:= 5996:E 5992:d 5935:) 5933:3 5931:( 5914:. 5905:E 5901:+ 5898:Q 5895:+ 5892:W 5889:= 5886:E 5852:E 5819:) 5817:2 5815:( 5798:W 5795:= 5792:E 5754:Q 5734:Q 5714:W 5694:E 5679:) 5677:1 5675:( 5658:Q 5655:+ 5652:W 5649:= 5646:E 5581:. 5520:t 5516:H 5493:2 5482:t 5476:E 5254:9 5231:2 5227:c 5181:E 5148:E 5144:= 5139:k 5135:E 5131:+ 5126:p 5122:E 5099:2 5095:v 5091:m 5086:2 5083:1 5078:= 5073:k 5069:E 5048:h 5045:g 5042:m 5039:= 5034:p 5030:E 5014:) 5012:4 5010:( 4991:F 4988:k 4984:E 4980:+ 4975:F 4972:p 4968:E 4964:= 4959:i 4956:k 4952:E 4948:+ 4943:i 4940:p 4936:E 4904:k 4900:E 4877:p 4873:E 4538:– 4516:0 4512:E 4495:c 4485:0 4482:m 4465:, 4460:2 4456:c 4450:0 4446:m 4442:= 4437:0 4433:E 4350:h 4327:h 4324:= 4321:E 4072:O 4070:2 4066:4 4040:O 4032:2 4028:H 4020:+ 4012:2 3992:2 3988:O 3983:) 3978:2 3975:1 3966:( 3962:+ 3954:6 3950:O 3937:H 3924:C 3902:O 3894:2 3890:H 3885:6 3882:+ 3874:2 3865:6 3854:2 3850:O 3845:6 3842:+ 3834:6 3830:O 3817:H 3808:6 3804:C 3781:6 3779:O 3775:H 3765:6 3763:O 3759:H 3757:6 3641:T 3637:E 3633:E 3629:T 3538:C 3534:F 3513:W 3489:s 3484:d 3476:F 3470:C 3462:= 3459:W 3413:e 3406:t 3399:v 3089:) 2708:t 2705:d 2699:p 2695:d 2689:= 2684:F 2065:. 2046:. 1855:) 1849:( 1822:e 1815:t 1808:v 1335:S 1332:T 1326:H 1323:= 1320:) 1317:p 1314:, 1311:T 1308:( 1305:G 1280:S 1277:T 1271:U 1268:= 1265:) 1262:V 1259:, 1256:T 1253:( 1250:A 1225:V 1222:p 1219:+ 1216:U 1213:= 1210:) 1207:p 1204:, 1201:S 1198:( 1195:H 1170:) 1167:V 1164:, 1161:S 1158:( 1155:U 1032:T 1008:V 985:V 961:1 936:= 900:p 876:V 853:V 829:1 801:= 765:T 741:N 718:S 694:T 669:= 666:c 589:) 202:T 199:L 196:M 180:? 169:? 103:E 45:. 38:. 20:)

Index

Energizers
Outline of energy
Energy (disambiguation)
Energetic (disambiguation)

plasma globe
electrical energy
plasma
light
heat
movement
sound
SI unit
joule
kW⋅h
BTU
calorie
eV
erg
foot-pound
SI base units
Extensive
Conserved
yes
Dimension
Thermodynamics

Carnot heat engine
Classical
Statistical

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