6251:
3356:
49:
2536:
3573:(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.
2008:
5397:. 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.
2334:
210:
5304:. 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.
9835:
8736:
8273:
3369:
1780:
6265:
8297:
4253:. 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.
6237:
3655:
4669:
3713:
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.
8309:
2040:
8285:
5354:, 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.
4185:
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.
4205:
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).
4539:(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 â the inverse process is called
3724:, 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
4204:
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
5944:
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
5428:
to time. This mathematical entanglement of energy and time also results in the uncertainty principle â 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
4735:
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
5411:
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
4241:
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
5163:
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
4553:
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
5307:
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
5275:
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
4184:
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
4103:
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
5234:
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
3589:
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
2549:
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
3712:
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
5308:
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).
4285:
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)
4768:) 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.
2402:
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,
5423:
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
5831:
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
3590:
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
4740:
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
5440:, 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.
5311:
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
2089:
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
5961:) 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
3537:. 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.
3735:
All living creatures rely on an external source of energy to be able to grow and reproduce â radiant energy from the Sun in the case of green plants and chemical energy (in some form) in the case of animals. The daily
4098:
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
3489:
4108:
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
4040:
3548:. 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.
4799:, 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
6024:
2710:
5494:
4531:
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
6194:
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
6071:-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
3902:
1499:
4064:
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
6213:
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
2328:
6119:
5913:
5153:
4992:
4760:. 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
4775:, 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
3669:, 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
5100:
4298:. 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
5613:
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
5207:
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
5857:
5436:
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
4464:
2734:
5266:
6411:), 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
5657:
2381:
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.
8865:
5797:
3567:
the potential energy. Usually, the
Lagrange formalism is mathematically more convenient than the Hamiltonian for non-conservative systems (such as systems with friction).
1334:
1279:
1224:
6949:
6659:
4736:
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
3559:. 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
1031:
984:
899:
852:
764:
717:
6394:
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
5047:
2515:, 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
6168:
6145:
935:
803:
4329:
1169:
5412:
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.
5232:
4911:, 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:
4905:
4878:
4517:
4550:
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.
4373:
6221:. 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
668:
5753:
5733:
5713:
5693:
4349:
3512:
1007:
960:
875:
828:
740:
693:
2577:
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
5391:, governing all natural phenomena that are known to date. There is no known exception to this law â it is exact so far as we know. The law is called the
3906:
2539:
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.
7280:
5965:
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
5357:
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
6048:
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
1809:
6676:
6878:
6911:
4411:: 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:
1510:
2421:
5945:
is chiefly concerned with changes in internal energy and not its absolute value, which is impossible to determine with thermodynamics alone.
3400:
2613:
1398:
4407:â Einstein discovered an unexpected by-product of these calculations to be an energy term which does not vanish at zero speed. He called it
3786:
2237:
potential energy due to the deformation of a material (or its container) exhibiting a restorative force as it returns to its original shape
6752:
6428:, but it is very common to simplify the interaction by ignoring the mechanism of collision and just calculate the beginning and end result.
6374:
These examples are solely for illustration, as it is not the energy available for work which limits the performance of the athlete but the
4771:
Energy transformations in the universe over time are characterized by various kinds of potential energy, that has been available since the
3443:
8772:
6856:
6558:
2989:
632:
4765:
3108:
6727:
4290:
of quantum systems. The solution of this equation for a bound system is discrete (a set of permitted states, each characterized by an
3701:(H-e) (Human energy conversion) indicates, for a given amount of energy expenditure, the relative quantity of energy needed for human
5320:, or be transformed to other usable forms of energy (through the use of generators attached to heat engines), continues to decrease.
1833:
1488:
5316:. 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
5975:
3081:
7386:
6198:: the total energy of a system with many degrees of freedom is equally split among all available degrees of freedom, on average.
4919:
3624:
by the
Boltzmann's population factor e; that is, the probability of a molecule to have energy greater than or equal to
1521:
7254:
8806:
8006:
6319:
5590:
the source system does on the receiving system. The portion of the energy which does not do work during the transfer is called
2666:
2605:
5457:
8050:
7725:
7318:
7299:
6992:
6850:
6785:
6644:
6619:
2212:
1091:
5184:
and energy within the concept of special relativity. In different theoretical frameworks, similar formulas were derived by
4753:
1802:
1389:
1058:
625:
503:
5755:, can sometimes be ignored, especially for fast processes involving gases, which are poor conductors of heat, or when the
2398:, or living force, which defined as the product of the mass of an object and its velocity squared; he believed that total
9879:
8192:
6817:
6588:
6209:
of energy between parts of a system. When an isolated system is given more degrees of freedom (i.e., given new available
5377:
without such limitations. The total energy of a system can be calculated by adding up all forms of energy in the system.
5297:
3063:
441:
6063:
This equation is highly specific, ignoring all chemical, electrical, nuclear, and gravitational forces, effects such as
4416:
1573:
1547:
1068:
522:
155:
9688:
7235:
7173:
6943:
6438:
6081:
6056:(the negative sign results since compression of the system requires work to be done on it and so the volume change, d
5867:
3393:
474:
5284:. Often, however, the complete conversion of matter (such as atoms) to non-matter (such as photons) is forbidden by
9312:
8347:
8133:
7049:
Martyushev, L.M.; Seleznev, V.D. (2006). "Maximum entropy production principle in physics, chemistry and biology".
5500:
4125:, 64.3 Pg/a (52%) are used for the metabolism of green plants, i.e. reconverted into carbon dioxide and heat.
1626:
1097:
496:
6250:
6201:
This principle is vitally important to understanding the behavior of a quantity closely related to energy, called
5105:
3355:
8765:
5403:
5197:
4274:
4072:, some chemical energy is converted into heat). Only a tiny fraction of the original chemical energy is used for
3740:(6â8 MJ) recommended for a human adult are taken as food molecules, mostly carbohydrates and fats, of which
2729:
2261:
kinetic and potential energy in a material due to a sound propagated wave (a particular type of mechanical wave)
1795:
4543:â in which the rest mass of particles is created from the radiant energy of two (or more) annihilating photons.
8143:
4831:
4705:
2984:
2724:
1726:
258:
2082:
reflects the potential of an object to have motion, generally being based upon the object's position within a
1621:
8829:
7354:
5369:. This creates a limit to the amount of heat energy that can do work in a cyclic process, a limit called the
2566:
2449:
2358:
1898:
1701:
1474:
451:
7277:
5052:
4249:
of hydrogen in the Sun also releases another store of potential energy which was created at the time of the
4214:
2604:, which is a joule per second. Thus, one joule is one watt-second, and 3600 joules equal one watt-hour. The
9864:
9381:
9216:
8313:
7673:
7207:
6412:
6324:
6222:
6214:
5362:
4757:
4685:
4574:
4100:
4091:
3386:
3373:
3134:
3057:
2979:
2822:
1086:
289:
279:
9705:
8438:
8432:
8232:
7491:
7379:
5954:
5614:
5339:
5165:
4630:
4375:
the frequency). In the case of an electromagnetic wave these energy states are called quanta of light or
3636:. The activation energy necessary for a chemical reaction can be provided in the form of thermal energy.
3053:
2854:
294:
284:
6702:
2832:
19:
This article is about the scalar physical quantity. For an overview of and topical guide to energy, see
9838:
9722:
9666:
8758:
6725:
Global
Mapping of Terrestrial Primary Productivity and Light-Use Efficiency with a Process-Based Model.
6206:
5835:
5828:
5594:. Energy can be transferred between systems in a variety of ways. Examples include the transmission of
5313:
4907:) and then back to potential energy constantly. This is referred to as conservation of energy. In this
3273:
3162:
3088:
2948:
2881:
2479:
These developments led to the theory of conservation of energy, formalized largely by
William Thomson (
1578:
1542:
320:
254:
179:
31:
6672:
6225:. It states that nonequilibrium systems behave in such a way as to maximize their entropy production.
4153:
are phenomena that can be explained in terms of energy transformations in the Earth's interior, while
4083:
gain in gravitational potential energy of a 150 kg weight lifted through 2 metres: 3 kJ
1616:
9859:
9253:
8138:
7996:
7658:
7603:
7583:
7578:
7191:
6882:
5958:
5526:. The exchange of virtual particles with real particles is responsible for the creation of all known
5238:
3027:
2275:
2020:
1937:
1371:
1119:
565:
378:
368:
6903:
5625:
2425:, which represented the first formulation of a conserved measurable quantity that was distinct from
2098:, whereas nuclear energy refers to the combined potentials within an atomic nucleus from either the
9238:
8067:
7411:
6309:
5567:
5531:
5433:â rather it provides mathematical limits to which energy can in principle be defined and measured.
4737:
4547:
4181:
3678:
3598:
if the final state is lower on the energy scale than the initial state; in the less common case of
3303:
3147:
2441:
2433:
2337:
5771:
48:
9413:
9302:
8624:
8289:
8227:
8212:
7608:
7588:
6270:
6195:
6030:
where the first term on the right is the heat transferred into the system, expressed in terms of
4400:
3541:
3253:
3017:
2412:
1783:
1611:
1408:
1289:
1234:
1179:
1111:
1050:
586:
575:
241:
24:
6748:
6462:
5102:(half mass times velocity squared). Then the total amount of energy can be found by adding
4282:
4134:
4104:
achieve higher energy efficiencies than more complex ones, but the complex organisms can occupy
4068:
when ATP reacts with OH groups and eventually splits into ADP and phosphate (at each stage of a
3427:
In classical mechanics, energy is a conceptually and mathematically useful property, as it is a
3293:
1013:
966:
881:
834:
746:
699:
9816:
9659:
9531:
7740:
7636:
7563:
7553:
7434:
7372:
6639:(2 ed.). Milton, Queensland, Australia: John Wiley & Sons Australia Ltd. p. 286.
6314:
5595:
5420:
5393:
5335:
5329:
5013:
4780:
4047:
3545:
3298:
3115:
2520:
2516:
2457:
2416:
2349:
2191:
1917:
1882:
1826:
1716:
1433:
517:
271:
246:
172:
7182:
issue, covers virtually every major concern and concept since debated regarding materials and
6933:
6550:
6217:. The second law of thermodynamics is simple only for systems which are near or in a physical
6150:
6127:
5193:
4554:
work or heating ("energy manifestations"), subject to the limitations of other physical laws.
1636:
917:
782:
9613:
9608:
9403:
9344:
7680:
7471:
6349:
5587:
5347:
4681:
4614:
4598:
4305:
4043:
3563:, but is generally useful in modern physics. The Lagrangian is defined as the kinetic energy
3556:
3308:
3283:
2969:
2787:
2075:
1886:
1866:
1651:
1228:
541:
387:
236:
4846:
or other losses, the conversion of energy between these processes would be perfect, and the
1139:
9807:
9779:
9744:
9671:
9471:
9408:
9226:
9047:
8340:
8128:
8101:
8079:
7986:
7919:
7668:
7598:
7543:
7097:
7058:
7021:
6724:
6492:
6354:
6284:
5448:
5416:
5301:
5210:
4883:
4856:
4495:
4299:
3706:
3570:
3552:
3328:
3288:
3196:
3192:
3184:
3174:
2964:
2957:
2713:
2633:
2586:
2512:
2492:
2473:
2157:
1945:
1731:
1656:
1646:
446:
308:
119:
6838:
4358:
3705:, using as a standard an average human energy expenditure of 12,500 kJ per day and a
3323:
8:
9802:
9710:
9698:
9588:
9541:
9349:
9272:
8998:
8789:
8551:
8486:
8207:
8150:
8072:
8045:
7730:
7593:
7568:
7226:
7178:
7164:
7086:"Self-Assembled Wiggling Nano-Structures and the Principle of Maximum Entropy Production"
6339:
6179:
5555:
5547:
5511:
are not dynamically conjugate variables, neither in classical nor in quantum mechanics).
5430:
5425:
4562:
4404:
3599:
3560:
3103:
3044:
3022:
2767:
2762:
2757:
2657:
2524:
2372:
1676:
1438:
460:
426:
421:
334:
135:
7101:
7062:
7025:
6879:"E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws"
5735:
represents the heat flow into or out of the system. As a simplification, the heat term,
3431:. Several formulations of mechanics have been developed using energy as a core concept.
2535:
2377:'activity, operation', which possibly appears for the first time in the work of
1671:
650:
9812:
9797:
9727:
9683:
9573:
9159:
9064:
8819:
8187:
8165:
8155:
7991:
7118:
7085:
6800:
Berkeley
Physics Course Volume 1. Charles Kittel, Walter D Knight and Malvin A Ruderman
6525:
6517:
6334:
5756:
5738:
5718:
5698:
5678:
5603:
5583:
5527:
4808:
4804:
4721:
4693:
4647:
equal amount of energy in transit due to a displacement in the direction of an applied
4566:
4334:
3633:
3591:
3497:
3428:
3233:
2974:
2849:
2817:
2777:
1980:
1979:
provides the energy required for human civilization to function, which it obtains from
1765:
1428:
1423:
1376:
992:
945:
860:
813:
725:
678:
608:
592:
479:
431:
416:
406:
215:
209:
166:
5373:. Mechanical and other forms of energy can be transformed in the other direction into
3608:
are usually not possible unless the reactants surmount an energy barrier known as the
2487:. Thermodynamics aided the rapid development of explanations of chemical processes by
9874:
9784:
9248:
9154:
9127:
8974:
8924:
8860:
8814:
8296:
8089:
7914:
7775:
7735:
7705:
7690:
7663:
7573:
7476:
7416:
7406:
7314:
7295:
7243:
7231:
7169:
7123:
6988:
6939:
6846:
6781:
6640:
6615:
6529:
6509:
6218:
5760:
5519:
5444:
5181:
4558:
4270:
4189:
4138:
4069:
3609:
3605:
3243:
3200:
3157:
3152:
3093:
2869:
2859:
2752:
2385:
2324:
2177:
2137:
2123:
2095:
2091:
2007:
1996:
1929:
1850:
1847:
1760:
1721:
1711:
1283:
1081:
909:
411:
401:
343:
58:
20:
5957:
asserts that the total energy of a system and its surroundings (but not necessarily
5189:
9734:
9693:
9676:
9563:
9461:
8993:
8897:
8781:
8539:
8428:
8398:
8248:
8222:
8217:
8197:
8182:
8023:
8013:
7793:
7720:
7456:
7113:
7105:
7066:
7029:
6505:
6501:
6425:
6304:
6289:
6187:
5543:
5515:
5370:
5285:
5281:
4839:
4166:
4105:
3777:
3698:
3338:
3318:
3263:
3258:
3204:
3179:
3034:
2892:
2837:
2812:
2551:
2453:
2079:
2071:
2063:
2051:
1992:
1972:
1913:
1878:
1681:
1666:
1606:
1601:
1418:
1413:
1063:
531:
396:
62:
7070:
6580:
5276:
forms of energy (e.g., kinetic energy into particles with rest mass) are found in
4779:, a process ultimately using the gravitational potential energy released from the
2110:
Some forms of energy (that an object or system can have as a measurable property)
2070:, or combinations of the two in various ways. Kinetic energy is determined by the
9869:
9751:
9717:
9603:
9583:
9493:
9142:
9108:
9042:
8839:
8824:
8739:
8614:
8569:
8463:
8458:
8448:
8333:
8277:
8258:
8172:
7939:
7854:
7710:
7700:
7685:
7643:
7548:
7498:
7449:
7358:
7284:
7183:
6821:
6731:
6612:
The
Science of Energy â a Cultural History of Energy Physics in Victorian Britain
6379:
6375:
6344:
6299:
5941:
5539:
5535:
5380:
5277:
5269:
5177:
4908:
4776:
4732:
4717:
4701:
4697:
4673:
4605:
4388:
4352:
4264:
4234:
4193:
4118:
3586:
3534:
3530:
3418:
3333:
3278:
3228:
3223:
3142:
2570:
2555:
2544:
2488:
2464:. It was argued for some years whether heat was a physical substance, dubbed the
2461:
2242:
2167:
2147:
2083:
1976:
1941:
1925:
1862:
1631:
1479:
1133:
774:
597:
358:
325:
3632:. This exponential dependence of a reaction rate on temperature is known as the
2508:
9792:
9739:
9649:
9568:
9553:
9548:
9500:
9388:
9184:
9132:
9115:
8949:
8253:
8202:
8177:
7981:
7946:
7879:
7869:
7785:
7765:
7760:
7745:
7715:
7695:
7653:
7631:
7613:
7513:
7503:
7439:
7147:
6395:
6256:
6183:
5607:
5599:
5374:
5334:
The fact that energy can be neither created nor destroyed is called the law of
4835:
4827:
4816:
4812:
4749:
4742:
4709:
4642:
4570:
4487:
4246:
4201:
4122:
4073:
3773:
3721:
3694:
3670:
3434:
3422:
3360:
3268:
3169:
2886:
2574:
2504:
2496:
2484:
2465:
2445:
2404:
2389:
2296:
2266:
2232:
2218:
2204:
2197:
2183:
2067:
2047:
2043:
2032:
1933:
1921:
1909:
1686:
1456:
556:
436:
373:
363:
231:
201:
74:
6812:
9853:
9756:
9593:
9483:
9440:
9221:
9098:
8984:
8934:
8798:
8423:
8301:
8160:
8120:
8084:
8040:
7966:
7929:
7847:
7770:
7538:
7533:
7486:
7466:
6513:
6329:
6294:
6242:
5579:
5551:
5343:
4796:
4586:
4540:
4287:
4278:
3781:
3659:
3645:
3515:
3248:
3075:
2590:
2271:
2099:
1858:
1755:
1073:
642:
603:
315:
115:
5578:
Energy transfer can be considered for the special case of systems which are
4192:
of atoms in the core of the Earth releases heat. This thermal energy drives
3582:
9558:
9516:
9292:
9243:
9179:
9035:
8939:
8647:
8633:
8057:
8001:
7951:
7934:
7755:
7528:
7461:
7127:
7034:
7009:
6210:
5185:
4800:
4291:
4174:
4094:
in their use of the energy they receive (chemical or radiant energy); most
3682:
3313:
3238:
2927:
2807:
2625:
2621:
2333:
2256:
2028:
2024:
1988:
1706:
1691:
1641:
1124:
143:
127:
54:
6635:
Lofts, G; O'Keeffe D; et al. (2004). "11 â Mechanical
Interactions".
5582:
to transfers of matter. The portion of the energy which is transferred by
4238:
2312:
motion of particles, a kind of disordered equivalent of mechanical energy
9654:
9598:
9420:
9398:
9393:
9260:
9137:
9103:
9091:
8979:
8902:
8606:
8481:
8062:
8028:
7902:
7892:
7835:
7818:
7803:
7750:
7648:
6551:"Nuclear Energy | Definition, Formula & Examples | nuclear-power.com"
6031:
5358:
5317:
4725:
4634:
4408:
4154:
3737:
3649:
2629:
2594:
2480:
2309:
2286:
2248:
2247:
kinetic and potential energy in an elastic material due to a propagating
2129:
1984:
1949:
1894:
1661:
469:
6521:
6487:
4237:
are the universe's highest-output energy transformations of matter. All
4080:
gain in kinetic energy of a sprinter during a 100 m race: 4 kJ
3666:
2476:
discovered the link between mechanical work and the generation of heat.
2460:
was also first postulated in the early 19th century, and applies to any
2046:
is energy of microscopic constituents of matter, which may include both
9761:
9578:
9536:
9478:
9447:
9086:
9018:
8956:
8929:
8892:
8698:
8579:
8096:
8018:
7956:
7924:
7864:
7558:
7187:
6408:
6279:
5415:
This law is a fundamental principle of physics. As shown rigorously by
5366:
4689:
4536:
4197:
4170:
4150:
4114:
4065:
3725:
3702:
3098:
2772:
2617:
2329:
timeline of thermodynamics, statistical mechanics, and random processes
2103:
1750:
1696:
7109:
6662:
MIT OpenCourseWare website 18.013A Chapter 16.3 Accessed
February 2007
6407:
Although heat is "wasted" energy for a specific energy transfer (see:
4748:
There are strict limits to how efficiently heat can be converted into
9644:
9526:
9334:
9329:
9307:
9196:
9189:
9008:
9003:
8910:
8887:
8657:
8619:
8574:
8564:
8504:
8325:
8106:
8033:
7907:
7887:
7859:
7798:
7158:
6191:
6064:
4784:
4608:
of energy ("energy in transit") from one object or system to another
4582:
4477:
4226:
3674:
3595:
3484:{\displaystyle W=\int _{C}\mathbf {F} \cdot \mathrm {d} \mathbf {s} }
3414:
3120:
2632:(based on the temperature change of water in a heating process), and
2378:
2016:
2012:
1968:
1953:
1839:
348:
8750:
6776:
Misner, Charles W.; Thorne, Kip S.; Wheeler, John Archibald (1973).
6264:
5158:
4577:). In other words, energy is invariant with respect to rotations of
2292:
9771:
9339:
9265:
9206:
9201:
9149:
9059:
9030:
9023:
9013:
8944:
8918:
8914:
8906:
8708:
8652:
8584:
8519:
8405:
8393:
8365:
7842:
7823:
7808:
7508:
7292:
Energy in nature and society: general energetics of complex systems
7199:
6424:
The mechanism for most macroscopic physical collisions is actually
5962:
5523:
4847:
4843:
4823:
4772:
4668:
4528:
4524:
4250:
4142:
4035:{\displaystyle {\ce {C57H110O6 + (81 1/2) O2 -> 57CO2 + 55H2O}}}
3039:
2922:
2897:
2559:
2469:
2426:
2394:
2365:
2200:
2023:
is converted into the same amount of energy in other forms, mostly
1464:
1381:
1173:
581:
353:
7350:
4803:
or in civil nuclear power generation. Similarly, in the case of a
4676:
transforms the energy of pressurized steam into electrical energy.
3654:
2569:(SI), the unit of energy is the joule, named after Joule. It is a
9639:
9435:
9430:
9376:
9282:
9211:
9054:
8855:
8703:
8691:
8629:
8559:
8534:
8494:
8473:
8443:
7976:
7518:
7335:
6391:
6236:
6202:
6038:
4792:
4788:
4761:
4713:
4295:
4200:. This slow lifting represents a kind of gravitational potential
4162:
4146:
4110:
4095:
3757:
3741:
3690:
3012:
2865:
2782:
2582:
2500:
2419:
in the marginalia of her French language translation of Newton's
1964:
570:
123:
98:
6824:
including careful definitions of energy, free energy, et cetera.
5566:"Energy transfer" redirects here. For the pipeline company, see
5346:'s energy is constant unless energy is transferred in or out as
5291:
2597:, which require a conversion factor when expressed in SI units.
2039:
9488:
9453:
9277:
9233:
9081:
8686:
8679:
8388:
8357:
7523:
6441:. Here, the signs in this equation follow the IUPAC convention.
5538:
are also responsible for the electrostatic interaction between
5204:
4659:
4532:
4376:
4230:
3729:
3071:
2917:
2340:, the first person to use the term "energy" in the modern sense
2225:
2094:
kinetic and potential energy within a system is referred to as
2059:
1890:
5550:
radiative decay of excited atomic and nuclear states, for the
5419:, the conservation of energy is a mathematical consequence of
5365:
states that the system doing work always loses some energy as
5049:(mass times acceleration due to gravity times the height) and
3772:) are convenient examples. The food molecules are oxidized to
2499:. It also led to a mathematical formulation of the concept of
9521:
9361:
9287:
9074:
8716:
8674:
8667:
8662:
8499:
8453:
8415:
8373:
7337:
The Journal of Energy History / Revue d'histoire de l'Ă©nergie
6698:
6019:{\displaystyle \mathrm {d} E=T\mathrm {d} S-P\mathrm {d} V\,}
5816:
5296:
Thermodynamics divides energy transformation into two kinds:
4787:
to "store" energy in the creation of heavy isotopes (such as
4648:
4578:
4396:
3686:
3519:
2907:
2902:
2844:
2279:
2221:
1902:
1893:
and energy may also be converted to one another. The unit of
1874:
103:
78:
66:
7272:
Santos, Gildo M. "Energy in Brazil: a historical overview,"
4752:
in a cyclic process, e.g. in a heat engine, as described by
2411:
only by a factor of two. Writing in the early 18th century,
2132:
translational and rotational kinetic and potential energies
9466:
9322:
9317:
9297:
9171:
9122:
8966:
8594:
8529:
8524:
8514:
8509:
8378:
7897:
7830:
7813:
7481:
5591:
5437:
5351:
4624:
4392:
4222:
4218:
4158:
2912:
2875:
2601:
2436:
was possibly the first to use the term "energy" instead of
2363:
2303:
1960:
1916:
stored by an object (for instance due to its position in a
1870:
546:
70:
5451:. On any time scales, the uncertainty in the energy is by
2162:
potential energy due to or stored in gravitational fields
9425:
9069:
7364:
7309:
Walding, Richard; Rapkins, Greg; Rossiter, Glenn (1999).
5715: represents the work done on or by the system, and
5518:, this inequality permits a qualitative understanding of
5503:(but not really mathematically equivalent thereto, since
4025:
4005:
3985:
3947:
3934:
3921:
3887:
3867:
3847:
3827:
3814:
3801:
2705:{\displaystyle {\textbf {F}}={\frac {d\mathbf {p} }{dt}}}
2609:
2600:
The SI unit of energy rate (energy per unit time) is the
2578:
131:
5969:
in energy signified by a positive quantity) is given as
5489:{\displaystyle \Delta E\Delta t\geq {\frac {\hbar }{2}}}
3716:
Sunlight's radiant energy is also captured by plants as
5815:
This simplified equation is the one used to define the
3897:{\displaystyle {\ce {C6H12O6 + 6O2 -> 6CO2 + 6H2O}}}
5055:
4688:. Items that transform between these forms are called
3961:
6736:
Global Environmental Change in the Ocean and on Land.
6153:
6130:
6084:
5978:
5870:
5838:
5774:
5741:
5721:
5701:
5681:
5628:
5460:
5241:
5213:
5203:
Part of the rest energy (equivalent to rest mass) of
5108:
5016:
4922:
4886:
4859:
4731:
Examples of energy transformation include generating
4498:
4419:
4361:
4337:
4308:
4117:: of the estimated 124.7 Pg/a of carbon that is
4090:
It would appear that living organisms are remarkably
3909:
3789:
3540:
The total energy of a system is sometimes called the
3500:
3446:
2669:
2152:
potential energy due to or stored in magnetic fields
2142:
potential energy due to or stored in electric fields
1292:
1237:
1182:
1142:
1016:
995:
969:
948:
920:
884:
863:
837:
816:
785:
749:
728:
702:
681:
653:
6971:
Chemical Thermodynamics â Basic Concepts and Methods
6232:
4842:. If one (unrealistically) assumes that there is no
4113:. As an example, to take just the first step in the
3616:
of a chemical reaction (at a given temperature
2636:
are used in specific areas of science and commerce.
6775:
6634:
1963:constantly take in and release energy. The Earth's
7230:Book), San Francisco, W.H. Freeman and Co., 1971,
7168:Book), San Francisco, W.H. Freeman and Co., 1970,
7048:
6982:
6162:
6139:
6113:
6018:
5907:
5851:
5791:
5747:
5727:
5707:
5687:
5651:
5488:
5260:
5226:
5147:
5094:
5041:
5010:The equation can then be simplified further since
4986:
4899:
4872:
4853:Energy is also transferred from potential energy (
4838:is at its maximum and is equal to the decrease in
4511:
4458:
4367:
4343:
4323:
4169:are all a result of energy transformations in our
4034:
3896:
3506:
3483:
2704:
2554:lost by the weight in descending was equal to the
1328:
1273:
1218:
1163:
1025:
1001:
978:
954:
929:
893:
869:
846:
822:
797:
758:
734:
711:
687:
662:
7313:. Melbourne, Australia: Oxford University Press.
6696:Bicycle calculator â speed, weight, wattage etc.
5159:Conservation of energy and mass in transformation
4581:, but not invariant with respect to rotations of
3437:, a function of energy, is force times distance.
9851:
7010:"Reciprocal relations in irreversible processes"
6060:, is negative when work is done on the system).
5598:via photons, physical collisions which transfer
5268:joules = 21 megatons of TNT), as can be seen in
4086:Daily food intake of a normal adult: 6â8 MJ
30:"Energetic" redirects here. For other uses, see
6114:{\displaystyle \mathrm {d} E=\delta Q+\delta W}
5908:{\displaystyle \Delta E=W+Q+E_{\text{matter}}.}
4399:to some finite speed) relativistically â using
2503:by Clausius and to the introduction of laws of
6881:. UCLA Physics & Astronomy. Archived from
6808:
6806:
5948:
2519:is the direct mathematical consequence of the
8766:
8341:
7380:
6932:Jaffe, Robert L.; Taylor, Washington (2018).
5292:Reversible and non-reversible transformations
3551:Another energy-related concept is called the
3394:
1803:
6044:(in which entropy increases and its change d
5148:{\displaystyle E_{p}+E_{k}=E_{\text{total}}}
2448:" in 1829 in its modern sense, and in 1853,
2429:, and which would later be called "energy".
2274:stored in the fields of waves propagated by
7351:Differences between Heat and Thermal energy
7206:. Fullerton, California: Light and Matter.
6938:. Cambridge University Press. p. 611.
6931:
6803:
5180:(1905) quantifies the relationship between
4987:{\displaystyle E_{pi}+E_{ki}=E_{pF}+E_{kF}}
4834:is at its maximum. At its lowest point the
3620:) is related to the activation energy
2086:or what is stored within the field itself.
8773:
8759:
8348:
8334:
7387:
7373:
6173:
6067:of any form of energy other than heat and
5827:Beyond the constraints of closed systems,
4662:that is moving from one system to another
4277:(Hamiltonian) as a time derivative of the
4042:and some of the energy is used to convert
3401:
3387:
1810:
1796:
208:
47:
7117:
7083:
7033:
6843:The Feynman Lectures on Physics; Volume 1
6485:
6075:system is expressed in a general form by
6015:
5323:
4764:(equal energy spread among all available
4633:in transit spontaneously towards a lower-
4014:
3994:
3960:
3876:
3856:
3836:
3677:of a biological organism. Energy used in
2573:that is equal to the energy expended (or
2468:, or merely a physical quantity, such as
6723:Ito, Akihito; Oikawa, Takehisa (2004). "
6205:. Entropy is a measure of evenness of a
4667:
4569:energy is also a scalar (although not a
3653:
3602:reactions the situation is the reverse.
2534:
2332:
2038:
2006:
7007:
6836:
6832:
6830:
6628:
6378:output (in case of a sprinter) and the
6147:is the heat supplied to the system and
5095:{\textstyle E_{k}={\frac {1}{2}}mv^{2}}
4242:lighter elements, primarily hydrogen).
2172:potential energy due to chemical bonds
1889:in form, but not created or destroyed;
9852:
8355:
8007:Integrated gasification combined cycle
6771:
6769:
6320:List of low-energy building techniques
2644:
2062:can be subdivided and classified into
8780:
8754:
8329:
8051:Radioisotope thermoelectric generator
7726:Quantum chromodynamics binding energy
7368:
6963:
6876:
6609:
6591:from the original on October 11, 2007
5695:is the amount of energy transferred,
5558:and some other observable phenomena.
4712:of moving water (and the blades of a
3083:Newton's law of universal gravitation
1865:, recognizable in the performance of
8284:
6827:
6182:(a mass on a spring) is alternately
5861:
5765:
5619:
4913:
4692:. Examples of transducers include a
4273:, energy is defined in terms of the
4258:
2186:an electron to its atom or molecule
1854:
8308:
8193:World energy supply and consumption
6766:
6614:. The University of Chicago Press.
6190:. At two points in the oscillation
6170:is the work applied to the system.
5586:over a distance is measured as the
5387:There is a fact, or if you wish, a
4684:between different forms at various
4561:, energy is a scalar quantity, the
4092:inefficient (in the physical sense)
3064:Mechanics of planar particle motion
2672:
2530:
2078:of the object's components â while
13:
7260:from the original on 26 April 2011
7138:
6976:
6578:
6439:sign conventions for this equation
6086:
6008:
5994:
5980:
5936:
5871:
5775:
5759:of the transfer is high. For such
5629:
5561:
5467:
5461:
4658:equal amount of energy carried by
4294:) which results in the concept of
3472:
1971:processes are driven primarily by
1017:
970:
885:
838:
750:
703:
523:Intensive and extensive properties
14:
9891:
7344:
6488:"SCIENCE 101: Q: What Is Energy?"
5931:
5852:{\displaystyle E_{\text{matter}}}
5606:, and the conductive transfer of
5573:
4850:would continue swinging forever.
4822:Yet another example is that of a
4592:
4459:{\displaystyle E_{0}=m_{0}c^{2},}
4387:When calculating kinetic energy (
4128:
3533:article. Work and thus energy is
2639:
2620:. Other energy units such as the
9834:
9833:
8735:
8734:
8307:
8295:
8283:
8272:
8271:
6263:
6249:
6235:
5501:Heisenberg Uncertainty Principle
5499:which is similar in form to the
3681:is stored in substances such as
3477:
3464:
3368:
3367:
3354:
2687:
1779:
1778:
1098:Table of thermodynamic equations
7242:Ross, John S. (23 April 2002).
7210:from the original on 2011-05-19
7176:. This book, originally a 1970
7077:
7042:
7001:
6952:from the original on 2022-07-30
6925:
6914:from the original on 2011-07-17
6896:
6870:
6859:from the original on 2022-07-30
6839:"Ch. 4: Conservation of Energy"
6794:
6780:. San Francisco: W.H. Freeman.
6755:from the original on 2008-08-27
6741:
6734:" in Shiyomi, M. et al. (Eds.)
6717:
6705:from the original on 2009-05-13
6679:from the original on 2010-06-04
6561:from the original on 2022-07-06
6431:
6418:
6401:
6385:
6368:
5822:
5404:The Feynman Lectures on Physics
5261:{\displaystyle 9\times 10^{16}}
5198:Massâenergy equivalence#History
1574:Maxwell's thermodynamic surface
6973:, 7th ed., Wiley (2008), p. 39
6690:
6665:
6653:
6603:
6572:
6543:
6506:10.1080/19434812.2021.12291716
6479:
6455:
5652:{\displaystyle \Delta {}E=W+Q}
5447:energy is expressed using the
4832:gravitational potential energy
4706:gravitational potential energy
4180:Sunlight is the main input to
3988:
3971:
3954:
3850:
2550:showed that the gravitational
1308:
1296:
1253:
1241:
1198:
1186:
1158:
1146:
1:
7274:The Journal of Energy History
7253:. Michigan State University.
7244:"Work, Power, Kinetic Energy"
7084:Belkin, A.; et., al. (2015).
7071:10.1016/j.physrep.2005.12.001
6877:Byers, Nina (December 1996).
6448:
4382:
2990:Koopmanâvon Neumann mechanics
2567:International System of Units
1899:International System of Units
1475:Mechanical equivalent of heat
8799:Pollution / quality
7294:. Cambridge, US: MIT Press.
6413:second law of thermodynamics
6382:(in case of a weightlifter).
6325:Orders of magnitude (energy)
6215:second law of thermodynamics
5792:{\displaystyle \Delta {}E=W}
5383:said during a 1961 lecture:
5363:second law of thermodynamics
4826:. At its highest points the
4758:second law of thermodynamics
4573:but a time component of the
4208:
4196:and may lift mountains, via
4101:second law of thermodynamics
3628:at a given temperature
3576:
3058:Non-inertial reference frame
2558:gained by the water through
2364:
1952:associated with an object's
1908:Forms of energy include the
1087:Onsager reciprocal relations
7:
7329:
6983:Kittel and Kroemer (1980).
6585:Online Etymology Dictionary
6228:
6178:The energy of a mechanical
5955:first law of thermodynamics
5949:First law of thermodynamics
5921:
5805:
5665:
5340:first law of thermodynamics
5000:
4546:In general relativity, the
4157:phenomena like wind, rain,
2985:Appell's equation of motion
2855:Inertial frame of reference
1973:radiant energy from the sun
1579:Entropy as energy dispersal
1390:"Perpetual motion" machines
1329:{\displaystyle G(T,p)=H-TS}
1274:{\displaystyle A(T,V)=U-TS}
1219:{\displaystyle H(S,p)=U+pV}
10:
9896:
9880:Scalar physical quantities
7394:
7311:New Century Senior Physics
7198:Crowell, Benjamin (2011).
6987:. New York: W.H. Freeman.
6814:The Laws of Thermodynamics
6223:maximum entropy production
5565:
5530:(more accurately known as
5327:
5314:heat death of the universe
5200:for further information).
4596:
4262:
3643:
3639:
3412:
2542:
2384:In the late 17th century,
2353:
2322:
2318:
1924:stored in a solid object,
1885:states that energy can be
1832:
1026:{\displaystyle \partial T}
979:{\displaystyle \partial V}
894:{\displaystyle \partial p}
847:{\displaystyle \partial V}
759:{\displaystyle \partial T}
712:{\displaystyle \partial S}
32:Energetic (disambiguation)
29:
18:
9829:
9770:
9635:
9628:
9509:
9370:Types / location
9369:
9360:
9170:
8965:
8878:
8848:
8797:
8788:
8730:
8643:
8602:
8593:
8550:
8472:
8414:
8364:
8267:
8241:
8117:
7997:Fossil fuel power station
7965:
7878:
7784:
7659:Electric potential energy
7624:
7604:Thermodynamic temperature
7584:Thermodynamic free energy
7579:Thermodynamic equilibrium
7425:
7402:
7192:environmental degradation
7152:. Moscow: Mir Publishers.
6837:Feynman, Richard (1964).
5959:thermodynamic free energy
5042:{\displaystyle E_{p}=mgh}
4811:energy is transformed to
3718:chemical potential energy
3494:This says that the work (
2614:imperial and US customary
2388:proposed the idea of the
2302:
2285:
2276:electromagnetic radiation
2265:
2255:
2241:
2231:
2211:
2190:
2176:
2166:
2156:
2146:
2136:
2122:
2117:
2114:
2021:electric potential energy
1938:electromagnetic radiation
1846: 'activity') is the
1500:An Inquiry Concerning the
178:
165:
154:
141:
109:
97:
85:
46:
41:
8068:Concentrated solar power
6969:I. Klotz, R. Rosenberg,
6673:"Retrieved on May-29-09"
6486:Bobrowsky, Matt (2021).
6361:
6310:Index of energy articles
6163:{\displaystyle \delta W}
6140:{\displaystyle \delta Q}
5568:Energy Transfer Partners
5532:fundamental interactions
4738:nuclear potential energy
4575:energyâmomentum 4-vector
3148:Rotating reference frame
2980:HamiltonâJacobi equation
2527:to energy, namely time.
2442:Gustave-Gaspard Coriolis
2415:proposed the concept of
2207:(and nuclear reactions)
2106:, among other examples.
2002:
1912:of a moving object, the
1513:Heterogeneous Substances
930:{\displaystyle \alpha =}
798:{\displaystyle \beta =-}
7609:Volume (thermodynamics)
7589:Thermodynamic potential
7492:Massâenergy equivalence
7146:Alekseev, G.N. (1986).
6749:"Earth's Energy Budget"
6610:Smith, Crosbie (1998).
6271:Renewable energy portal
6196:equipartition principle
6174:Equipartition of energy
5196:(1904) and others (see
5166:massâenergy equivalence
4401:Lorentz transformations
4324:{\displaystyle E=h\nu }
4215:cosmology and astronomy
3089:Newton's laws of motion
2949:Newton's laws of motion
2440:, in its modern sense.
25:Energy (disambiguation)
7564:Quantum thermodynamics
7554:Laws of thermodynamics
7435:Conservation of energy
7035:10.1103/PhysRev.37.405
6845:. US: Addison Wesley.
6751:. Okfirst.ocs.ou.edu.
6398:) to the surroundings.
6315:Index of wave articles
6164:
6141:
6115:
6020:
5909:
5853:
5793:
5749:
5729:
5709:
5689:
5653:
5596:electromagnetic energy
5490:
5421:translational symmetry
5409:
5394:conservation of energy
5336:conservation of energy
5330:Conservation of energy
5324:Conservation of energy
5302:irreversible processes
5262:
5228:
5149:
5096:
5043:
4988:
4901:
4874:
4819:in a very short time.
4781:gravitational collapse
4677:
4523:For example, consider
4513:
4460:
4369:
4345:
4325:
4036:
3898:
3697:. In human terms, the
3662:
3546:William Rowan Hamilton
3529:; for details see the
3508:
3485:
3116:Simple harmonic motion
3029:Euler's laws of motion
2823:D'Alembert's principle
2706:
2540:
2521:translational symmetry
2517:conservation of energy
2458:conservation of energy
2417:conservation of energy
2393:
2341:
2308:kinetic energy of the
2217:potential energy that
2196:potential energy that
2182:potential energy that
2074:of an object â or the
2058:The total energy of a
2055:
2036:
1883:conservation of energy
1330:
1275:
1220:
1165:
1164:{\displaystyle U(S,V)}
1027:
1003:
980:
956:
931:
895:
871:
848:
824:
799:
760:
736:
713:
689:
664:
643:Specific heat capacity
247:Quantum thermodynamics
23:. For other uses, see
7681:Interatomic potential
7472:Energy transformation
7290:Smil, Vaclav (2008).
6935:The Physics of Energy
6463:"Earth's energy flow"
6350:Waste-to-energy plant
6165:
6142:
6116:
6021:
5910:
5854:
5794:
5750:
5730:
5710:
5690:
5654:
5491:
5429:not be confused with
5385:
5342:, this states that a
5338:. In the form of the
5272:and nuclear weapons.
5263:
5229:
5227:{\displaystyle c^{2}}
5150:
5097:
5044:
4989:
4902:
4900:{\displaystyle E_{k}}
4880:) to kinetic energy (
4875:
4873:{\displaystyle E_{p}}
4728:(from heat to work).
4671:
4655:Transfer of material
4599:Energy transformation
4514:
4512:{\displaystyle E_{0}}
4461:
4370:
4346:
4326:
4188:In a slower process,
4182:Earth's energy budget
4037:
3899:
3660:energy and human life
3657:
3557:Joseph-Louis Lagrange
3509:
3486:
2970:Hamiltonian mechanics
2788:Statistical mechanics
2707:
2587:British thermal units
2538:
2422:Principia Mathematica
2336:
2042:
2010:
1511:On the Equilibrium of
1331:
1276:
1229:Helmholtz free energy
1221:
1166:
1028:
1004:
981:
957:
932:
896:
872:
849:
825:
800:
761:
737:
714:
690:
665:
9745:remnant natural area
9382:storage and recovery
9048:habitat conservation
8866:Deforestation (REDD)
8615:Evolutionary history
8129:Efficient energy use
8102:Airborne wind energy
8080:Solar thermal energy
7987:Electricity delivery
7599:Thermodynamic system
7544:Irreversible process
7008:Onsager, L. (1931).
6493:Science and Children
6355:Zero-energy building
6285:Efficient energy use
6151:
6128:
6082:
5976:
5868:
5836:
5772:
5739:
5719:
5699:
5679:
5626:
5458:
5449:Hamiltonian operator
5298:reversible processes
5239:
5235:amounts of energy (~
5211:
5106:
5053:
5014:
4920:
4884:
4857:
4716:) and ultimately to
4548:stressâenergy tensor
4496:
4417:
4368:{\displaystyle \nu }
4359:
4335:
4306:
4283:Schrödinger equation
3907:
3787:
3707:basal metabolic rate
3685:(including sugars),
3498:
3444:
3193:Angular acceleration
3185:Rotational frequency
2965:Lagrangian mechanics
2958:Analytical mechanics
2714:Second law of motion
2667:
2493:Josiah Willard Gibbs
2474:James Prescott Joule
1946:thermodynamic system
1524:Motive Power of Fire
1290:
1235:
1180:
1140:
1092:Bridgman's equations
1069:Fundamental relation
1014:
993:
967:
946:
918:
882:
861:
835:
814:
783:
747:
726:
700:
679:
651:
9865:Main topic articles
9699:Earth Overshoot Day
9273:Marine conservation
9254:non-timber products
8552:Natural environment
8151:Energy conservation
8073:Photovoltaic system
8046:Nuclear power plant
7731:Quantum fluctuation
7594:Thermodynamic state
7569:Thermal equilibrium
7227:Scientific American
7179:Scientific American
7165:Scientific American
7102:2015NatSR...5E8323B
7063:2006PhR...426....1M
7026:1931PhRv...37..405O
6910:. Ptolemy Project.
6637:Jacaranda Physics 1
6180:harmonic oscillator
5761:adiabatic processes
5584:conservative forces
5556:Van der Waals force
5431:energy conservation
5426:canonical conjugate
5194:Friedrich Hasenöhrl
4609:
4563:canonical conjugate
4519:is the rest energy.
4405:Newtonian mechanics
4161:, snow, lightning,
4027:
4007:
3987:
3949:
3936:
3923:
3889:
3869:
3849:
3829:
3816:
3803:
3561:classical mechanics
3045:Harmonic oscillator
3023:Equations of motion
2658:Classical mechanics
2652:Part of a series on
2645:Classical mechanics
2608:energy unit is the
2111:
1944:contained within a
1869:and in the form of
1502:Source ... Friction
1434:Loschmidt's paradox
626:Material properties
504:Conjugate variables
9684:Ecosystem services
8807:Ambient standards
8188:Sustainable energy
8166:Energy development
8156:Energy consumption
7992:Energy engineering
7357:2016-08-27 at the
7283:2019-02-09 at the
7149:Energy and Entropy
6820:2006-12-15 at the
6730:2006-10-02 at the
6437:There are several
6335:Sustainable energy
6160:
6137:
6111:
6016:
5905:
5849:
5789:
5757:thermal efficiency
5745:
5725:
5705:
5685:
5649:
5604:tidal interactions
5542:(which results in
5528:fundamental forces
5486:
5258:
5224:
5145:
5092:
5039:
4984:
4897:
4870:
4809:chemical potential
4805:chemical explosion
4766:degrees of freedom
4722:electric generator
4678:
4603:
4567:special relativity
4509:
4456:
4365:
4341:
4321:
4032:
4015:
3995:
3975:
3970:
3937:
3924:
3911:
3894:
3877:
3857:
3837:
3817:
3804:
3791:
3663:
3658:Basic overview of
3634:Arrhenius equation
3606:Chemical reactions
3581:In the context of
3514:) is equal to the
3504:
3481:
3429:conserved quantity
3361:Physics portal
2975:Routhian mechanics
2850:Frame of reference
2702:
2541:
2483:) as the field of
2413:Ămilie du ChĂątelet
2342:
2109:
2056:
2037:
1930:chemical reactions
1897:for energy in the
1879:conserved quantity
1766:Order and disorder
1522:Reflections on the
1429:Heat death paradox
1326:
1271:
1216:
1161:
1023:
999:
976:
952:
927:
891:
867:
844:
820:
795:
756:
732:
709:
685:
663:{\displaystyle c=}
660:
633:Property databases
609:Reduced properties
593:Chemical potential
557:Functions of state
480:Thermal efficiency
216:Carnot heat engine
145:SI base units
9847:
9846:
9825:
9824:
9624:
9623:
9303:genetic resources
9239:genetic resources
8874:
8873:
8782:Natural resources
8748:
8747:
8726:
8725:
8399:chemical elements
8323:
8322:
8090:Solar power tower
7736:Quantum potential
7574:Thermal reservoir
7477:Energy transition
7320:978-0-19-551084-3
7301:978-0-262-19565-2
7110:10.1038/srep08323
6994:978-0-7167-1088-2
6904:"Time Invariance"
6852:978-0-201-02115-8
6787:978-0-7167-0344-0
6699:"Bike Calculator"
6646:978-0-7016-3777-4
6621:978-0-226-76420-7
6579:Harper, Douglas.
6219:equilibrium state
5929:
5928:
5899:
5846:
5813:
5812:
5748:{\displaystyle Q}
5728:{\displaystyle Q}
5708:{\displaystyle W}
5688:{\displaystyle E}
5673:
5672:
5520:virtual particles
5484:
5445:quantum mechanics
5417:Noether's theorem
5286:conservation laws
5182:relativistic mass
5142:
5077:
5008:
5007:
4666:
4665:
4613:Type of transfer
4559:classical physics
4344:{\displaystyle h}
4300:Planck's relation
4271:quantum mechanics
4259:Quantum mechanics
4217:the phenomena of
4190:radioactive decay
4173:brought about by
4139:continental drift
4106:ecological niches
4070:metabolic pathway
4030:
4018:
3998:
3978:
3969:
3940:
3927:
3914:
3892:
3880:
3860:
3840:
3820:
3807:
3794:
3610:activation energy
3571:Noether's theorem
3507:{\displaystyle W}
3411:
3410:
3158:Centrifugal force
3153:Centripetal force
3109:Euler's equations
3094:Relative velocity
2870:Moment of inertia
2700:
2674:
2628:or thermodynamic
2562:with the paddle.
2513:Noether's theorem
2452:coined the term "
2386:Gottfried Leibniz
2376:
2362:
2348:derives from the
2325:History of energy
2316:
2315:
2291:potential energy
2096:mechanical energy
1997:geothermal energy
1820:
1819:
1761:Self-organization
1586:
1585:
1284:Gibbs free energy
1082:Maxwell relations
1040:
1039:
1036:
1035:
1002:{\displaystyle V}
955:{\displaystyle 1}
910:Thermal expansion
904:
903:
870:{\displaystyle V}
823:{\displaystyle 1}
769:
768:
735:{\displaystyle N}
688:{\displaystyle T}
616:
615:
532:Process functions
518:Property diagrams
497:System properties
487:
486:
452:Endoreversibility
344:Equation of state
196:
195:
59:electrical energy
21:Outline of energy
16:Physical quantity
9887:
9860:Energy (physics)
9837:
9836:
9788:
9735:Natural heritage
9694:overexploitation
9633:
9632:
9367:
9366:
9313:herbal medicines
9293:FAO Plant Treaty
8833:
8810:
8795:
8794:
8775:
8768:
8761:
8752:
8751:
8738:
8737:
8610:
8600:
8599:
8540:tropical cyclone
8490:
8350:
8343:
8336:
8327:
8326:
8311:
8310:
8299:
8287:
8286:
8275:
8274:
8249:Carbon footprint
8183:Renewable energy
8024:Hydroelectricity
8014:Geothermal power
7457:Energy condition
7389:
7382:
7375:
7366:
7365:
7339:(JEHRHE), 2018â
7324:
7305:
7269:
7267:
7265:
7259:
7248:
7222:Energy and Power
7218:
7216:
7215:
7204:Light and Matter
7184:energy resources
7153:
7132:
7131:
7121:
7081:
7075:
7074:
7046:
7040:
7039:
7037:
7005:
6999:
6998:
6980:
6974:
6967:
6961:
6960:
6958:
6957:
6929:
6923:
6922:
6920:
6919:
6900:
6894:
6893:
6891:
6890:
6874:
6868:
6867:
6865:
6864:
6834:
6825:
6810:
6801:
6798:
6792:
6791:
6773:
6764:
6763:
6761:
6760:
6745:
6739:
6738:pp. 343â58.
6721:
6715:
6713:
6711:
6710:
6694:
6688:
6687:
6685:
6684:
6669:
6663:
6657:
6651:
6650:
6632:
6626:
6625:
6607:
6601:
6600:
6598:
6596:
6576:
6570:
6569:
6567:
6566:
6547:
6541:
6540:
6538:
6536:
6483:
6477:
6476:
6474:
6473:
6467:Energy Education
6459:
6442:
6435:
6429:
6422:
6416:
6405:
6399:
6389:
6383:
6372:
6305:Energy recycling
6290:Energy democracy
6273:
6268:
6267:
6259:
6254:
6253:
6245:
6240:
6239:
6188:potential energy
6169:
6167:
6166:
6161:
6146:
6144:
6143:
6138:
6120:
6118:
6117:
6112:
6089:
6025:
6023:
6022:
6017:
6011:
5997:
5983:
5923:
5914:
5912:
5911:
5906:
5901:
5900:
5897:
5862:
5859:, one may write
5858:
5856:
5855:
5850:
5848:
5847:
5844:
5807:
5798:
5796:
5795:
5790:
5779:
5766:
5754:
5752:
5751:
5746:
5734:
5732:
5731:
5726:
5714:
5712:
5711:
5706:
5694:
5692:
5691:
5686:
5667:
5658:
5656:
5655:
5650:
5633:
5620:
5540:electric charges
5516:particle physics
5495:
5493:
5492:
5487:
5485:
5477:
5407:
5371:available energy
5282:particle physics
5270:nuclear reactors
5267:
5265:
5264:
5259:
5257:
5256:
5233:
5231:
5230:
5225:
5223:
5222:
5154:
5152:
5151:
5146:
5144:
5143:
5140:
5131:
5130:
5118:
5117:
5101:
5099:
5098:
5093:
5091:
5090:
5078:
5070:
5065:
5064:
5048:
5046:
5045:
5040:
5026:
5025:
5002:
4993:
4991:
4990:
4985:
4983:
4982:
4967:
4966:
4951:
4950:
4935:
4934:
4914:
4906:
4904:
4903:
4898:
4896:
4895:
4879:
4877:
4876:
4871:
4869:
4868:
4840:potential energy
4830:is zero and the
4754:Carnot's theorem
4629:equal amount of
4610:
4602:
4518:
4516:
4515:
4510:
4508:
4507:
4465:
4463:
4462:
4457:
4452:
4451:
4442:
4441:
4429:
4428:
4391:to accelerate a
4374:
4372:
4371:
4366:
4350:
4348:
4347:
4342:
4330:
4328:
4327:
4322:
4235:gamma-ray bursts
4041:
4039:
4038:
4033:
4031:
4028:
4026:
4023:
4016:
4006:
4003:
3996:
3986:
3983:
3976:
3974:
3962:
3948:
3945:
3938:
3935:
3932:
3925:
3922:
3919:
3912:
3903:
3901:
3900:
3895:
3893:
3890:
3888:
3885:
3878:
3868:
3865:
3858:
3848:
3845:
3838:
3828:
3825:
3818:
3815:
3812:
3805:
3802:
3799:
3792:
3728:is triggered by
3699:human equivalent
3513:
3511:
3510:
3505:
3490:
3488:
3487:
3482:
3480:
3475:
3467:
3462:
3461:
3403:
3396:
3389:
3376:
3371:
3370:
3363:
3359:
3358:
3264:Johann Bernoulli
3259:Daniel Bernoulli
3180:Tangential speed
3084:
3060:
3035:Fictitious force
3030:
2882:Mechanical power
2872:
2813:Angular momentum
2711:
2709:
2708:
2703:
2701:
2699:
2691:
2690:
2681:
2676:
2675:
2649:
2648:
2552:potential energy
2531:Units of measure
2523:of the quantity
2454:potential energy
2371:
2369:
2357:
2355:
2272:potential energy
2112:
2108:
2080:potential energy
2076:composite motion
2064:potential energy
2052:potential energy
1993:renewable energy
1981:energy resources
1961:living organisms
1928:associated with
1914:potential energy
1843:
1836:
1812:
1805:
1798:
1782:
1781:
1489:Key publications
1470:
1469:("living force")
1419:Brownian ratchet
1414:Entropy and life
1409:Entropy and time
1360:
1359:
1335:
1333:
1332:
1327:
1280:
1278:
1277:
1272:
1225:
1223:
1222:
1217:
1170:
1168:
1167:
1162:
1064:Clausius theorem
1059:Carnot's theorem
1032:
1030:
1029:
1024:
1008:
1006:
1005:
1000:
985:
983:
982:
977:
961:
959:
958:
953:
940:
939:
936:
934:
933:
928:
900:
898:
897:
892:
876:
874:
873:
868:
853:
851:
850:
845:
829:
827:
826:
821:
808:
807:
804:
802:
801:
796:
765:
763:
762:
757:
741:
739:
738:
733:
718:
716:
715:
710:
694:
692:
691:
686:
673:
672:
669:
667:
666:
661:
639:
638:
512:
511:
331:
330:
212:
198:
197:
146:
51:
39:
38:
9895:
9894:
9890:
9889:
9888:
9886:
9885:
9884:
9850:
9849:
9848:
9843:
9821:
9786:
9766:
9752:Systems ecology
9718:Natural capital
9620:
9505:
9494:reclaimed water
9356:
9318:UPOV Convention
9166:
8961:
8870:
8844:
8840:Ozone depletion
8831:
8808:
8784:
8779:
8749:
8744:
8722:
8639:
8608:
8589:
8546:
8488:
8468:
8459:Gaia hypothesis
8449:Plate tectonics
8410:
8360:
8354:
8324:
8319:
8263:
8259:Waste-to-energy
8237:
8173:Energy security
8119:
8113:
7969:
7961:
7940:Natural uranium
7874:
7855:Mechanical wave
7786:Energy carriers
7780:
7620:
7549:Isolated system
7427:
7421:
7398:
7393:
7359:Wayback Machine
7347:
7332:
7327:
7321:
7308:
7302:
7289:
7285:Wayback Machine
7263:
7261:
7257:
7251:Project PHYSNET
7246:
7241:
7213:
7211:
7197:
7145:
7141:
7139:Further reading
7136:
7135:
7082:
7078:
7051:Physics Reports
7047:
7043:
7006:
7002:
6995:
6985:Thermal Physics
6981:
6977:
6968:
6964:
6955:
6953:
6946:
6930:
6926:
6917:
6915:
6902:
6901:
6897:
6888:
6886:
6875:
6871:
6862:
6860:
6853:
6835:
6828:
6822:Wayback Machine
6811:
6804:
6799:
6795:
6788:
6774:
6767:
6758:
6756:
6747:
6746:
6742:
6732:Wayback Machine
6722:
6718:
6708:
6706:
6697:
6695:
6691:
6682:
6680:
6671:
6670:
6666:
6660:The Hamiltonian
6658:
6654:
6647:
6633:
6629:
6622:
6608:
6604:
6594:
6592:
6577:
6573:
6564:
6562:
6549:
6548:
6544:
6534:
6532:
6484:
6480:
6471:
6469:
6461:
6460:
6456:
6451:
6446:
6445:
6436:
6432:
6426:electromagnetic
6423:
6419:
6406:
6402:
6390:
6386:
6373:
6369:
6364:
6359:
6345:Waste-to-energy
6340:Transfer energy
6300:Energy recovery
6269:
6262:
6255:
6248:
6241:
6234:
6231:
6176:
6152:
6149:
6148:
6129:
6126:
6125:
6085:
6083:
6080:
6079:
6007:
5993:
5979:
5977:
5974:
5973:
5951:
5942:Internal energy
5939:
5937:Internal energy
5934:
5896:
5892:
5869:
5866:
5865:
5843:
5839:
5837:
5834:
5833:
5825:
5819:, for example.
5778:
5773:
5770:
5769:
5740:
5737:
5736:
5720:
5717:
5716:
5700:
5697:
5696:
5680:
5677:
5676:
5632:
5627:
5624:
5623:
5576:
5571:
5564:
5562:Energy transfer
5536:Virtual photons
5476:
5459:
5456:
5455:
5408:
5401:
5381:Richard Feynman
5332:
5326:
5294:
5278:nuclear physics
5252:
5248:
5240:
5237:
5236:
5218:
5214:
5212:
5209:
5208:
5178:Albert Einstein
5161:
5139:
5135:
5126:
5122:
5113:
5109:
5107:
5104:
5103:
5086:
5082:
5069:
5060:
5056:
5054:
5051:
5050:
5021:
5017:
5015:
5012:
5011:
4975:
4971:
4959:
4955:
4943:
4939:
4927:
4923:
4921:
4918:
4917:
4909:isolated system
4891:
4887:
4885:
4882:
4881:
4864:
4860:
4858:
4855:
4854:
4777:nucleosynthesis
4733:electric energy
4718:electric energy
4704:), a dam (from
4702:electric energy
4698:chemical energy
4674:turbo generator
4601:
4595:
4503:
4499:
4497:
4494:
4493:
4475:
4447:
4443:
4437:
4433:
4424:
4420:
4418:
4415:
4414:
4385:
4360:
4357:
4356:
4353:Planck constant
4336:
4333:
4332:
4307:
4304:
4303:
4275:energy operator
4267:
4265:Energy operator
4261:
4211:
4194:plate tectonics
4143:mountain ranges
4131:
4062:
4060:
4056:
4024:
4019:
4004:
3999:
3984:
3979:
3953:
3946:
3941:
3933:
3928:
3920:
3915:
3910:
3908:
3905:
3904:
3886:
3881:
3866:
3861:
3846:
3841:
3826:
3821:
3813:
3808:
3800:
3795:
3790:
3788:
3785:
3784:
3771:
3767:
3763:
3755:
3751:
3747:
3736:1500â2000
3652:
3644:Main articles:
3642:
3579:
3535:frame dependent
3531:mechanical work
3499:
3496:
3495:
3476:
3471:
3463:
3457:
3453:
3445:
3442:
3441:
3425:
3419:Mechanical work
3413:Main articles:
3407:
3366:
3353:
3352:
3345:
3344:
3343:
3218:
3210:
3209:
3189:
3143:Circular motion
3137:
3127:
3126:
3125:
3082:
3052:
3049:
3028:
3007:
2999:
2998:
2995:
2994:
2952:
2942:
2934:
2933:
2932:
2891:
2887:Mechanical work
2880:
2864:
2802:
2794:
2793:
2792:
2747:
2739:
2716:
2692:
2686:
2682:
2680:
2671:
2670:
2668:
2665:
2664:
2647:
2642:
2556:internal energy
2547:
2545:Units of energy
2533:
2511:. According to
2489:Rudolf Clausius
2462:isolated system
2450:William Rankine
2407:, differs from
2331:
2323:Main articles:
2321:
2243:Mechanical wave
2115:Type of energy
2005:
1977:energy industry
1942:internal energy
1926:chemical energy
1863:physical system
1816:
1771:
1770:
1746:
1738:
1737:
1736:
1596:
1588:
1587:
1566:
1552:
1527:
1523:
1516:
1512:
1505:
1501:
1468:
1461:
1443:
1424:Maxwell's demon
1386:
1357:
1356:
1340:
1339:
1338:
1291:
1288:
1287:
1286:
1236:
1233:
1232:
1231:
1181:
1178:
1177:
1176:
1141:
1138:
1137:
1136:
1134:Internal energy
1129:
1114:
1104:
1103:
1078:
1053:
1043:
1042:
1041:
1015:
1012:
1011:
994:
991:
990:
968:
965:
964:
947:
944:
943:
919:
916:
915:
883:
880:
879:
862:
859:
858:
836:
833:
832:
815:
812:
811:
784:
781:
780:
775:Compressibility
748:
745:
744:
727:
724:
723:
701:
698:
697:
680:
677:
676:
652:
649:
648:
628:
618:
617:
598:Particle number
551:
510:
499:
489:
488:
447:Irreversibility
359:State of matter
326:Isolated system
311:
301:
300:
299:
274:
264:
263:
259:Non-equilibrium
251:
226:
218:
144:
112:
88:
81:
35:
28:
17:
12:
11:
5:
9893:
9883:
9882:
9877:
9872:
9867:
9862:
9845:
9844:
9842:
9841:
9830:
9827:
9826:
9823:
9822:
9820:
9819:
9810:
9805:
9800:
9795:
9790:
9787:(perpetuation)
9782:
9776:
9774:
9768:
9767:
9765:
9764:
9759:
9754:
9749:
9748:
9747:
9740:Nature reserve
9737:
9732:
9731:
9730:
9725:
9715:
9714:
9713:
9703:
9702:
9701:
9696:
9686:
9681:
9680:
9679:
9674:
9664:
9663:
9662:
9657:
9652:
9647:
9636:
9630:
9626:
9625:
9622:
9621:
9619:
9618:
9617:
9616:
9611:
9601:
9596:
9591:
9586:
9581:
9576:
9571:
9566:
9561:
9556:
9551:
9546:
9545:
9544:
9534:
9529:
9524:
9519:
9513:
9511:
9507:
9506:
9504:
9503:
9498:
9497:
9496:
9486:
9481:
9476:
9475:
9474:
9464:
9459:
9458:
9457:
9445:
9444:
9443:
9438:
9433:
9423:
9418:
9417:
9416:
9411:
9406:
9396:
9391:
9386:
9385:
9384:
9373:
9371:
9364:
9358:
9357:
9355:
9354:
9353:
9352:
9347:
9337:
9332:
9327:
9326:
9325:
9320:
9315:
9310:
9305:
9300:
9295:
9285:
9280:
9275:
9270:
9269:
9268:
9258:
9257:
9256:
9251:
9246:
9241:
9231:
9230:
9229:
9224:
9219:
9217:climate change
9209:
9204:
9199:
9194:
9193:
9192:
9185:Bioprospecting
9182:
9176:
9174:
9168:
9167:
9165:
9164:
9163:
9162:
9157:
9147:
9146:
9145:
9140:
9135:
9130:
9120:
9119:
9118:
9113:
9112:
9111:
9106:
9096:
9095:
9094:
9089:
9079:
9078:
9077:
9067:
9062:
9052:
9051:
9050:
9040:
9039:
9038:
9028:
9027:
9026:
9021:
9016:
9011:
9001:
8996:
8991:
8990:
8989:
8988:
8987:
8971:
8969:
8963:
8962:
8960:
8959:
8954:
8953:
8952:
8947:
8937:
8932:
8927:
8922:
8900:
8895:
8890:
8884:
8882:
8876:
8875:
8872:
8871:
8869:
8868:
8863:
8858:
8852:
8850:
8846:
8845:
8843:
8842:
8837:
8836:
8835:
8830:Clean Air Act
8822:
8817:
8812:
8803:
8801:
8792:
8786:
8785:
8778:
8777:
8770:
8763:
8755:
8746:
8745:
8743:
8742:
8731:
8728:
8727:
8724:
8723:
8721:
8720:
8713:
8712:
8711:
8706:
8696:
8695:
8694:
8689:
8684:
8683:
8682:
8672:
8671:
8670:
8655:
8650:
8644:
8641:
8640:
8638:
8637:
8627:
8622:
8617:
8612:
8603:
8597:
8591:
8590:
8588:
8587:
8582:
8577:
8572:
8567:
8562:
8556:
8554:
8548:
8547:
8545:
8544:
8543:
8542:
8537:
8527:
8522:
8517:
8512:
8507:
8502:
8497:
8492:
8484:
8478:
8476:
8470:
8469:
8467:
8466:
8461:
8456:
8451:
8446:
8441:
8436:
8426:
8420:
8418:
8412:
8411:
8409:
8408:
8403:
8402:
8401:
8396:
8386:
8381:
8376:
8370:
8368:
8362:
8361:
8353:
8352:
8345:
8338:
8330:
8321:
8320:
8318:
8317:
8305:
8293:
8281:
8268:
8265:
8264:
8262:
8261:
8256:
8254:Jevons paradox
8251:
8245:
8243:
8239:
8238:
8236:
8235:
8230:
8225:
8220:
8215:
8210:
8205:
8200:
8195:
8190:
8185:
8180:
8178:Energy storage
8175:
8170:
8169:
8168:
8158:
8153:
8148:
8147:
8146:
8141:
8136:
8125:
8123:
8115:
8114:
8112:
8111:
8110:
8109:
8104:
8094:
8093:
8092:
8087:
8077:
8076:
8075:
8070:
8060:
8055:
8054:
8053:
8048:
8038:
8037:
8036:
8031:
8026:
8016:
8011:
8010:
8009:
8004:
7994:
7989:
7984:
7982:Electric power
7979:
7973:
7971:
7963:
7962:
7960:
7959:
7954:
7949:
7944:
7943:
7942:
7932:
7927:
7922:
7917:
7912:
7911:
7910:
7905:
7900:
7890:
7884:
7882:
7880:Primary energy
7876:
7875:
7873:
7872:
7867:
7862:
7857:
7852:
7851:
7850:
7840:
7839:
7838:
7828:
7827:
7826:
7821:
7811:
7806:
7801:
7796:
7790:
7788:
7782:
7781:
7779:
7778:
7773:
7768:
7763:
7758:
7753:
7748:
7743:
7738:
7733:
7728:
7723:
7718:
7713:
7708:
7703:
7698:
7693:
7688:
7683:
7678:
7677:
7676:
7666:
7661:
7656:
7651:
7646:
7641:
7640:
7639:
7628:
7626:
7622:
7621:
7619:
7618:
7617:
7616:
7611:
7606:
7601:
7596:
7591:
7586:
7581:
7576:
7571:
7566:
7561:
7556:
7551:
7546:
7541:
7536:
7531:
7526:
7521:
7516:
7514:Entropic force
7511:
7504:Thermodynamics
7501:
7496:
7495:
7494:
7489:
7479:
7474:
7469:
7464:
7459:
7454:
7453:
7452:
7442:
7437:
7431:
7429:
7423:
7422:
7420:
7419:
7414:
7409:
7403:
7400:
7399:
7392:
7391:
7384:
7377:
7369:
7363:
7362:
7346:
7345:External links
7343:
7342:
7341:
7331:
7328:
7326:
7325:
7319:
7306:
7300:
7287:
7270:
7239:
7219:
7195:
7154:
7142:
7140:
7137:
7134:
7133:
7076:
7041:
7000:
6993:
6975:
6962:
6944:
6924:
6895:
6869:
6851:
6826:
6802:
6793:
6786:
6765:
6740:
6716:
6689:
6664:
6652:
6645:
6627:
6620:
6602:
6571:
6542:
6478:
6453:
6452:
6450:
6447:
6444:
6443:
6430:
6417:
6400:
6396:lattice energy
6384:
6366:
6365:
6363:
6360:
6358:
6357:
6352:
6347:
6342:
6337:
6332:
6327:
6322:
6317:
6312:
6307:
6302:
6297:
6292:
6287:
6282:
6276:
6275:
6274:
6260:
6257:Physics portal
6246:
6230:
6227:
6175:
6172:
6159:
6156:
6136:
6133:
6122:
6121:
6110:
6107:
6104:
6101:
6098:
6095:
6092:
6088:
6028:
6027:
6014:
6010:
6006:
6003:
6000:
5996:
5992:
5989:
5986:
5982:
5950:
5947:
5938:
5935:
5933:
5932:Thermodynamics
5930:
5927:
5926:
5917:
5915:
5904:
5895:
5891:
5888:
5885:
5882:
5879:
5876:
5873:
5842:
5824:
5821:
5811:
5810:
5801:
5799:
5788:
5785:
5782:
5777:
5744:
5724:
5704:
5684:
5671:
5670:
5661:
5659:
5648:
5645:
5642:
5639:
5636:
5631:
5608:thermal energy
5600:kinetic energy
5575:
5574:Closed systems
5572:
5563:
5560:
5522:, which carry
5497:
5496:
5483:
5480:
5475:
5472:
5469:
5466:
5463:
5399:
5375:thermal energy
5328:Main article:
5325:
5322:
5293:
5290:
5255:
5251:
5247:
5244:
5221:
5217:
5190:Henri Poincaré
5176:ÂČ, derived by
5168:. The formula
5160:
5157:
5138:
5134:
5129:
5125:
5121:
5116:
5112:
5089:
5085:
5081:
5076:
5073:
5068:
5063:
5059:
5038:
5035:
5032:
5029:
5024:
5020:
5006:
5005:
4996:
4994:
4981:
4978:
4974:
4970:
4965:
4962:
4958:
4954:
4949:
4946:
4942:
4938:
4933:
4930:
4926:
4894:
4890:
4867:
4863:
4836:kinetic energy
4828:kinetic energy
4817:thermal energy
4743:radiant energy
4710:kinetic energy
4680:Energy may be
4664:
4663:
4656:
4652:
4651:
4645:
4639:
4638:
4631:thermal energy
4627:
4621:
4620:
4617:
4604:Some forms of
4597:Main article:
4594:
4593:Transformation
4591:
4571:Lorentz scalar
4521:
4520:
4506:
4502:
4491:
4488:speed of light
4481:
4473:
4455:
4450:
4446:
4440:
4436:
4432:
4427:
4423:
4384:
4381:
4364:
4340:
4320:
4317:
4314:
4311:
4263:Main article:
4260:
4257:
4247:nuclear fusion
4210:
4207:
4202:energy storage
4155:meteorological
4130:
4129:Earth sciences
4127:
4123:photosynthesis
4088:
4087:
4084:
4081:
4058:
4054:
4052:
4022:
4013:
4010:
4002:
3993:
3990:
3982:
3973:
3968:
3965:
3959:
3956:
3952:
3944:
3931:
3918:
3884:
3875:
3872:
3864:
3855:
3852:
3844:
3835:
3832:
3824:
3811:
3798:
3774:carbon dioxide
3769:
3765:
3761:
3753:
3749:
3745:
3722:photosynthesis
3641:
3638:
3578:
3575:
3503:
3492:
3491:
3479:
3474:
3470:
3466:
3460:
3456:
3452:
3449:
3423:Thermodynamics
3409:
3408:
3406:
3405:
3398:
3391:
3383:
3380:
3379:
3378:
3377:
3364:
3347:
3346:
3342:
3341:
3336:
3331:
3326:
3321:
3316:
3311:
3306:
3301:
3296:
3291:
3286:
3281:
3276:
3271:
3266:
3261:
3256:
3251:
3246:
3241:
3236:
3231:
3226:
3220:
3219:
3216:
3215:
3212:
3211:
3208:
3207:
3188:
3187:
3182:
3177:
3172:
3170:Coriolis force
3167:
3166:
3165:
3155:
3150:
3145:
3139:
3138:
3133:
3132:
3129:
3128:
3124:
3123:
3118:
3113:
3112:
3111:
3106:
3096:
3091:
3086:
3079:
3068:
3067:
3066:
3061:
3048:
3047:
3042:
3037:
3032:
3025:
3020:
3015:
3009:
3008:
3005:
3004:
3001:
3000:
2997:
2996:
2993:
2992:
2987:
2982:
2977:
2972:
2967:
2961:
2955:
2953:
2946:
2943:
2940:
2939:
2936:
2935:
2931:
2930:
2925:
2920:
2915:
2910:
2905:
2900:
2895:
2889:
2884:
2878:
2873:
2862:
2857:
2852:
2847:
2842:
2841:
2840:
2835:
2825:
2820:
2815:
2810:
2804:
2803:
2800:
2799:
2796:
2795:
2791:
2790:
2785:
2780:
2775:
2770:
2765:
2760:
2755:
2749:
2748:
2745:
2744:
2741:
2740:
2738:
2737:
2732:
2727:
2721:
2718:
2717:
2712:
2698:
2695:
2689:
2685:
2679:
2661:
2660:
2654:
2653:
2646:
2643:
2641:
2640:Scientific use
2638:
2591:kilowatt-hours
2543:Main article:
2532:
2529:
2505:radiant energy
2497:Walther Nernst
2485:thermodynamics
2456:". The law of
2446:kinetic energy
2405:kinetic energy
2320:
2317:
2314:
2313:
2306:
2300:
2299:
2289:
2283:
2282:
2269:
2263:
2262:
2259:
2253:
2252:
2245:
2239:
2238:
2235:
2229:
2228:
2215:
2209:
2208:
2205:atomic nucleus
2194:
2188:
2187:
2180:
2174:
2173:
2170:
2164:
2163:
2160:
2154:
2153:
2150:
2144:
2143:
2140:
2134:
2133:
2126:
2120:
2119:
2116:
2068:kinetic energy
2044:Thermal energy
2033:thermal energy
2004:
2001:
1934:radiant energy
1922:elastic energy
1910:kinetic energy
1877:. Energy is a
1818:
1817:
1815:
1814:
1807:
1800:
1792:
1789:
1788:
1787:
1786:
1773:
1772:
1769:
1768:
1763:
1758:
1753:
1747:
1744:
1743:
1740:
1739:
1735:
1734:
1729:
1724:
1719:
1714:
1709:
1704:
1699:
1694:
1689:
1684:
1679:
1674:
1669:
1664:
1659:
1654:
1649:
1644:
1639:
1634:
1629:
1624:
1619:
1614:
1609:
1604:
1598:
1597:
1594:
1593:
1590:
1589:
1584:
1583:
1582:
1581:
1576:
1568:
1567:
1565:
1564:
1561:
1557:
1554:
1553:
1551:
1550:
1545:
1543:Thermodynamics
1539:
1536:
1535:
1531:
1530:
1529:
1528:
1519:
1517:
1508:
1506:
1497:
1492:
1491:
1485:
1484:
1483:
1482:
1477:
1472:
1460:
1459:
1457:Caloric theory
1453:
1450:
1449:
1445:
1444:
1442:
1441:
1436:
1431:
1426:
1421:
1416:
1411:
1405:
1402:
1401:
1395:
1394:
1393:
1392:
1385:
1384:
1379:
1374:
1368:
1365:
1364:
1358:
1355:
1354:
1351:
1347:
1346:
1345:
1342:
1341:
1337:
1336:
1325:
1322:
1319:
1316:
1313:
1310:
1307:
1304:
1301:
1298:
1295:
1281:
1270:
1267:
1264:
1261:
1258:
1255:
1252:
1249:
1246:
1243:
1240:
1226:
1215:
1212:
1209:
1206:
1203:
1200:
1197:
1194:
1191:
1188:
1185:
1171:
1160:
1157:
1154:
1151:
1148:
1145:
1130:
1128:
1127:
1122:
1116:
1115:
1110:
1109:
1106:
1105:
1102:
1101:
1094:
1089:
1084:
1077:
1076:
1071:
1066:
1061:
1055:
1054:
1049:
1048:
1045:
1044:
1038:
1037:
1034:
1033:
1022:
1019:
1009:
998:
987:
986:
975:
972:
962:
951:
937:
926:
923:
913:
906:
905:
902:
901:
890:
887:
877:
866:
855:
854:
843:
840:
830:
819:
805:
794:
791:
788:
778:
771:
770:
767:
766:
755:
752:
742:
731:
720:
719:
708:
705:
695:
684:
670:
659:
656:
646:
637:
636:
635:
629:
624:
623:
620:
619:
614:
613:
612:
611:
606:
601:
590:
579:
560:
559:
553:
552:
550:
549:
544:
538:
535:
534:
528:
527:
526:
525:
520:
501:
500:
495:
494:
491:
490:
485:
484:
483:
482:
477:
472:
464:
463:
457:
456:
455:
454:
449:
444:
439:
437:Free expansion
434:
429:
424:
419:
414:
409:
404:
399:
391:
390:
384:
383:
382:
381:
376:
374:Control volume
371:
366:
364:Phase (matter)
361:
356:
351:
346:
338:
337:
329:
328:
323:
318:
312:
307:
306:
303:
302:
298:
297:
292:
287:
282:
276:
275:
270:
269:
266:
265:
262:
261:
250:
249:
244:
239:
234:
228:
227:
224:
223:
220:
219:
214:The classical
213:
205:
204:
202:Thermodynamics
194:
193:
182:
176:
175:
170:
163:
162:
159:
152:
151:
148:
139:
138:
113:
110:
107:
106:
101:
95:
94:
89:
87:Common symbols
86:
83:
82:
52:
44:
43:
15:
9:
6:
4:
3:
2:
9892:
9881:
9878:
9876:
9873:
9871:
9868:
9866:
9863:
9861:
9858:
9857:
9855:
9840:
9832:
9831:
9828:
9818:
9817:Non-renewable
9814:
9811:
9809:
9806:
9804:
9801:
9799:
9796:
9794:
9791:
9789:
9783:
9781:
9778:
9777:
9775:
9773:
9769:
9763:
9760:
9758:
9757:Urban ecology
9755:
9753:
9750:
9746:
9743:
9742:
9741:
9738:
9736:
9733:
9729:
9726:
9724:
9721:
9720:
9719:
9716:
9712:
9709:
9708:
9707:
9704:
9700:
9697:
9695:
9692:
9691:
9690:
9687:
9685:
9682:
9678:
9675:
9673:
9670:
9669:
9668:
9665:
9661:
9658:
9656:
9653:
9651:
9648:
9646:
9643:
9642:
9641:
9638:
9637:
9634:
9631:
9627:
9615:
9612:
9610:
9607:
9606:
9605:
9602:
9600:
9597:
9595:
9592:
9590:
9589:Privatization
9587:
9585:
9582:
9580:
9577:
9575:
9572:
9570:
9567:
9565:
9562:
9560:
9557:
9555:
9552:
9550:
9547:
9543:
9540:
9539:
9538:
9535:
9533:
9530:
9528:
9525:
9523:
9520:
9518:
9515:
9514:
9512:
9508:
9502:
9499:
9495:
9492:
9491:
9490:
9487:
9485:
9484:Surface water
9482:
9480:
9477:
9473:
9470:
9469:
9468:
9465:
9463:
9460:
9456:
9455:
9451:
9450:
9449:
9446:
9442:
9439:
9437:
9434:
9432:
9429:
9428:
9427:
9424:
9422:
9419:
9415:
9412:
9410:
9407:
9405:
9402:
9401:
9400:
9397:
9395:
9392:
9390:
9387:
9383:
9380:
9379:
9378:
9375:
9374:
9372:
9368:
9365:
9363:
9359:
9351:
9348:
9346:
9343:
9342:
9341:
9338:
9336:
9333:
9331:
9328:
9324:
9321:
9319:
9316:
9314:
9311:
9309:
9306:
9304:
9301:
9299:
9296:
9294:
9291:
9290:
9289:
9286:
9284:
9281:
9279:
9276:
9274:
9271:
9267:
9264:
9263:
9262:
9259:
9255:
9252:
9250:
9247:
9245:
9242:
9240:
9237:
9236:
9235:
9232:
9228:
9225:
9223:
9220:
9218:
9215:
9214:
9213:
9210:
9208:
9205:
9203:
9200:
9198:
9195:
9191:
9188:
9187:
9186:
9183:
9181:
9178:
9177:
9175:
9173:
9169:
9161:
9158:
9156:
9153:
9152:
9151:
9148:
9144:
9141:
9139:
9136:
9134:
9131:
9129:
9126:
9125:
9124:
9121:
9117:
9114:
9110:
9107:
9105:
9102:
9101:
9100:
9097:
9093:
9090:
9088:
9085:
9084:
9083:
9080:
9076:
9073:
9072:
9071:
9068:
9066:
9063:
9061:
9058:
9057:
9056:
9053:
9049:
9046:
9045:
9044:
9041:
9037:
9034:
9033:
9032:
9029:
9025:
9022:
9020:
9017:
9015:
9012:
9010:
9007:
9006:
9005:
9002:
9000:
8997:
8995:
8992:
8986:
8985:peak farmland
8983:
8982:
8981:
8978:
8977:
8976:
8973:
8972:
8970:
8968:
8964:
8958:
8955:
8951:
8948:
8946:
8943:
8942:
8941:
8938:
8936:
8933:
8931:
8928:
8926:
8923:
8920:
8916:
8912:
8908:
8904:
8901:
8899:
8896:
8894:
8891:
8889:
8886:
8885:
8883:
8881:
8877:
8867:
8864:
8862:
8859:
8857:
8854:
8853:
8851:
8847:
8841:
8838:
8834:
8828:
8827:
8826:
8823:
8821:
8818:
8816:
8813:
8811:
8805:
8804:
8802:
8800:
8796:
8793:
8791:
8787:
8783:
8776:
8771:
8769:
8764:
8762:
8757:
8756:
8753:
8741:
8733:
8732:
8729:
8719:
8718:
8714:
8710:
8707:
8705:
8702:
8701:
8700:
8697:
8693:
8690:
8688:
8685:
8681:
8678:
8677:
8676:
8673:
8669:
8666:
8665:
8664:
8661:
8660:
8659:
8656:
8654:
8651:
8649:
8646:
8645:
8642:
8635:
8631:
8628:
8626:
8623:
8621:
8618:
8616:
8613:
8611:
8609:(abiogenesis)
8605:
8604:
8601:
8598:
8596:
8592:
8586:
8583:
8581:
8578:
8576:
8573:
8571:
8568:
8566:
8563:
8561:
8558:
8557:
8555:
8553:
8549:
8541:
8538:
8536:
8533:
8532:
8531:
8528:
8526:
8523:
8521:
8518:
8516:
8513:
8511:
8508:
8506:
8503:
8501:
8498:
8496:
8493:
8491:
8485:
8483:
8480:
8479:
8477:
8475:
8471:
8465:
8462:
8460:
8457:
8455:
8452:
8450:
8447:
8445:
8442:
8440:
8437:
8434:
8430:
8427:
8425:
8424:Earth science
8422:
8421:
8419:
8417:
8413:
8407:
8404:
8400:
8397:
8395:
8392:
8391:
8390:
8387:
8385:
8382:
8380:
8377:
8375:
8372:
8371:
8369:
8367:
8363:
8359:
8351:
8346:
8344:
8339:
8337:
8332:
8331:
8328:
8316:
8315:
8306:
8304:
8303:
8298:
8294:
8292:
8291:
8282:
8280:
8279:
8270:
8269:
8266:
8260:
8257:
8255:
8252:
8250:
8247:
8246:
8244:
8240:
8234:
8233:United States
8231:
8229:
8228:South America
8226:
8224:
8221:
8219:
8216:
8214:
8211:
8209:
8206:
8204:
8201:
8199:
8196:
8194:
8191:
8189:
8186:
8184:
8181:
8179:
8176:
8174:
8171:
8167:
8164:
8163:
8162:
8161:Energy policy
8159:
8157:
8154:
8152:
8149:
8145:
8142:
8140:
8137:
8135:
8132:
8131:
8130:
8127:
8126:
8124:
8122:
8116:
8108:
8105:
8103:
8100:
8099:
8098:
8095:
8091:
8088:
8086:
8085:Solar furnace
8083:
8082:
8081:
8078:
8074:
8071:
8069:
8066:
8065:
8064:
8061:
8059:
8056:
8052:
8049:
8047:
8044:
8043:
8042:
8041:Nuclear power
8039:
8035:
8032:
8030:
8027:
8025:
8022:
8021:
8020:
8017:
8015:
8012:
8008:
8005:
8003:
8000:
7999:
7998:
7995:
7993:
7990:
7988:
7985:
7983:
7980:
7978:
7975:
7974:
7972:
7968:
7967:Energy system
7964:
7958:
7955:
7953:
7950:
7948:
7945:
7941:
7938:
7937:
7936:
7933:
7931:
7928:
7926:
7923:
7921:
7920:Gravitational
7918:
7916:
7913:
7909:
7906:
7904:
7901:
7899:
7896:
7895:
7894:
7891:
7889:
7886:
7885:
7883:
7881:
7877:
7871:
7868:
7866:
7863:
7861:
7858:
7856:
7853:
7849:
7848:Hydrogen fuel
7846:
7845:
7844:
7841:
7837:
7834:
7833:
7832:
7829:
7825:
7822:
7820:
7817:
7816:
7815:
7812:
7810:
7807:
7805:
7802:
7800:
7797:
7795:
7792:
7791:
7789:
7787:
7783:
7777:
7774:
7772:
7769:
7767:
7764:
7762:
7759:
7757:
7754:
7752:
7749:
7747:
7744:
7742:
7739:
7737:
7734:
7732:
7729:
7727:
7724:
7722:
7719:
7717:
7714:
7712:
7709:
7707:
7704:
7702:
7699:
7697:
7694:
7692:
7689:
7687:
7684:
7682:
7679:
7675:
7672:
7671:
7670:
7669:Gravitational
7667:
7665:
7662:
7660:
7657:
7655:
7652:
7650:
7647:
7645:
7642:
7638:
7635:
7634:
7633:
7630:
7629:
7627:
7623:
7615:
7612:
7610:
7607:
7605:
7602:
7600:
7597:
7595:
7592:
7590:
7587:
7585:
7582:
7580:
7577:
7575:
7572:
7570:
7567:
7565:
7562:
7560:
7557:
7555:
7552:
7550:
7547:
7545:
7542:
7540:
7539:Heat transfer
7537:
7535:
7534:Heat capacity
7532:
7530:
7527:
7525:
7522:
7520:
7517:
7515:
7512:
7510:
7507:
7506:
7505:
7502:
7500:
7497:
7493:
7490:
7488:
7487:Negative mass
7485:
7484:
7483:
7480:
7478:
7475:
7473:
7470:
7468:
7467:Energy system
7465:
7463:
7460:
7458:
7455:
7451:
7448:
7447:
7446:
7443:
7441:
7438:
7436:
7433:
7432:
7430:
7424:
7418:
7415:
7413:
7410:
7408:
7405:
7404:
7401:
7397:
7390:
7385:
7383:
7378:
7376:
7371:
7370:
7367:
7360:
7356:
7352:
7349:
7348:
7340:
7338:
7334:
7333:
7322:
7316:
7312:
7307:
7303:
7297:
7293:
7288:
7286:
7282:
7279:
7275:
7271:
7256:
7252:
7245:
7240:
7237:
7236:0-7167-0938-4
7233:
7229:
7228:
7223:
7220:
7209:
7205:
7201:
7196:
7193:
7189:
7185:
7181:
7180:
7175:
7174:0-7167-0945-7
7171:
7167:
7166:
7161:
7160:
7155:
7151:
7150:
7144:
7143:
7129:
7125:
7120:
7115:
7111:
7107:
7103:
7099:
7095:
7091:
7087:
7080:
7072:
7068:
7064:
7060:
7056:
7052:
7045:
7036:
7031:
7027:
7023:
7020:(4): 405â26.
7019:
7015:
7011:
7004:
6996:
6990:
6986:
6979:
6972:
6966:
6951:
6947:
6945:9781107016651
6941:
6937:
6936:
6928:
6913:
6909:
6905:
6899:
6885:on 2011-05-14
6884:
6880:
6873:
6858:
6854:
6848:
6844:
6840:
6833:
6831:
6823:
6819:
6816:
6815:
6809:
6807:
6797:
6789:
6783:
6779:
6772:
6770:
6754:
6750:
6744:
6737:
6733:
6729:
6726:
6720:
6704:
6700:
6693:
6678:
6674:
6668:
6661:
6656:
6648:
6642:
6638:
6631:
6623:
6617:
6613:
6606:
6590:
6586:
6582:
6575:
6560:
6556:
6555:Nuclear Power
6552:
6546:
6531:
6527:
6523:
6519:
6515:
6511:
6507:
6503:
6499:
6495:
6494:
6489:
6482:
6468:
6464:
6458:
6454:
6440:
6434:
6427:
6421:
6414:
6410:
6404:
6397:
6393:
6388:
6381:
6377:
6371:
6367:
6356:
6353:
6351:
6348:
6346:
6343:
6341:
6338:
6336:
6333:
6331:
6330:Power station
6328:
6326:
6323:
6321:
6318:
6316:
6313:
6311:
6308:
6306:
6303:
6301:
6298:
6296:
6295:Energy crisis
6293:
6291:
6288:
6286:
6283:
6281:
6278:
6277:
6272:
6266:
6261:
6258:
6252:
6247:
6244:
6243:Energy portal
6238:
6233:
6226:
6224:
6220:
6216:
6212:
6211:energy states
6208:
6204:
6199:
6197:
6193:
6189:
6185:
6181:
6171:
6157:
6154:
6134:
6131:
6108:
6105:
6102:
6099:
6096:
6093:
6090:
6078:
6077:
6076:
6074:
6070:
6066:
6061:
6059:
6055:
6051:
6047:
6043:
6040:
6036:
6033:
6012:
6004:
6001:
5998:
5990:
5987:
5984:
5972:
5971:
5970:
5968:
5964:
5960:
5956:
5946:
5943:
5925:
5918:
5916:
5902:
5893:
5889:
5886:
5883:
5880:
5877:
5874:
5864:
5863:
5860:
5840:
5830:
5820:
5818:
5809:
5802:
5800:
5786:
5783:
5780:
5768:
5767:
5764:
5762:
5758:
5742:
5722:
5702:
5682:
5669:
5662:
5660:
5646:
5643:
5640:
5637:
5634:
5622:
5621:
5618:
5616:
5611:
5609:
5605:
5601:
5597:
5593:
5589:
5585:
5581:
5569:
5559:
5557:
5553:
5552:Casimir force
5549:
5545:
5544:Coulomb's law
5541:
5537:
5533:
5529:
5525:
5521:
5517:
5512:
5510:
5506:
5502:
5481:
5478:
5473:
5470:
5464:
5454:
5453:
5452:
5450:
5446:
5441:
5439:
5434:
5432:
5427:
5422:
5418:
5413:
5406:
5405:
5398:
5396:
5395:
5390:
5384:
5382:
5378:
5376:
5372:
5368:
5364:
5360:
5355:
5353:
5349:
5345:
5344:closed system
5341:
5337:
5331:
5321:
5319:
5315:
5309:
5305:
5303:
5299:
5289:
5287:
5283:
5279:
5273:
5271:
5253:
5249:
5245:
5242:
5219:
5215:
5206:
5201:
5199:
5195:
5191:
5187:
5183:
5179:
5175:
5172: =
5171:
5167:
5156:
5136:
5132:
5127:
5123:
5119:
5114:
5110:
5087:
5083:
5079:
5074:
5071:
5066:
5061:
5057:
5036:
5033:
5030:
5027:
5022:
5018:
5004:
4997:
4995:
4979:
4976:
4972:
4968:
4963:
4960:
4956:
4952:
4947:
4944:
4940:
4936:
4931:
4928:
4924:
4916:
4915:
4912:
4910:
4892:
4888:
4865:
4861:
4851:
4849:
4845:
4841:
4837:
4833:
4829:
4825:
4820:
4818:
4814:
4810:
4806:
4802:
4801:fission bombs
4798:
4797:nuclear decay
4794:
4790:
4786:
4782:
4778:
4774:
4769:
4767:
4763:
4759:
4755:
4751:
4746:
4744:
4739:
4734:
4729:
4727:
4723:
4719:
4715:
4711:
4707:
4703:
4699:
4695:
4691:
4687:
4683:
4675:
4670:
4661:
4657:
4654:
4653:
4650:
4646:
4644:
4641:
4640:
4636:
4632:
4628:
4626:
4623:
4622:
4618:
4616:
4612:
4611:
4607:
4600:
4590:
4588:
4584:
4580:
4576:
4572:
4568:
4564:
4560:
4555:
4551:
4549:
4544:
4542:
4541:pair creation
4538:
4534:
4530:
4526:
4504:
4500:
4492:
4489:
4485:
4482:
4479:
4472:
4469:
4468:
4467:
4453:
4448:
4444:
4438:
4434:
4430:
4425:
4421:
4412:
4410:
4406:
4402:
4398:
4394:
4390:
4380:
4378:
4362:
4354:
4338:
4318:
4315:
4312:
4309:
4301:
4297:
4293:
4289:
4288:wave function
4284:
4280:
4279:wave function
4276:
4272:
4266:
4256:
4254:
4252:
4248:
4243:
4240:
4236:
4232:
4228:
4224:
4220:
4216:
4206:
4203:
4199:
4195:
4191:
4186:
4183:
4178:
4176:
4172:
4168:
4164:
4160:
4156:
4152:
4148:
4144:
4140:
4136:
4126:
4124:
4120:
4116:
4112:
4107:
4102:
4097:
4093:
4085:
4082:
4079:
4078:
4077:
4075:
4071:
4067:
4051:
4049:
4045:
4020:
4011:
4008:
4000:
3991:
3980:
3966:
3963:
3957:
3950:
3942:
3929:
3916:
3882:
3873:
3870:
3862:
3853:
3842:
3833:
3830:
3822:
3809:
3796:
3783:
3779:
3775:
3759:
3743:
3739:
3733:
3731:
3727:
3723:
3719:
3714:
3710:
3709:of 80 watts.
3708:
3704:
3700:
3696:
3692:
3688:
3684:
3683:carbohydrates
3680:
3676:
3672:
3668:
3661:
3656:
3651:
3647:
3646:Bioenergetics
3637:
3635:
3631:
3627:
3623:
3619:
3615:
3611:
3607:
3603:
3601:
3597:
3593:
3588:
3584:
3574:
3572:
3568:
3566:
3562:
3558:
3554:
3549:
3547:
3543:
3538:
3536:
3532:
3528:
3525:along a path
3524:
3521:
3517:
3516:line integral
3501:
3468:
3458:
3454:
3450:
3447:
3440:
3439:
3438:
3436:
3432:
3430:
3424:
3420:
3416:
3404:
3399:
3397:
3392:
3390:
3385:
3384:
3382:
3381:
3375:
3365:
3362:
3357:
3351:
3350:
3349:
3348:
3340:
3337:
3335:
3332:
3330:
3327:
3325:
3322:
3320:
3317:
3315:
3312:
3310:
3307:
3305:
3302:
3300:
3297:
3295:
3292:
3290:
3287:
3285:
3282:
3280:
3277:
3275:
3272:
3270:
3267:
3265:
3262:
3260:
3257:
3255:
3252:
3250:
3247:
3245:
3242:
3240:
3237:
3235:
3232:
3230:
3227:
3225:
3222:
3221:
3214:
3213:
3206:
3202:
3198:
3194:
3191:
3190:
3186:
3183:
3181:
3178:
3176:
3173:
3171:
3168:
3164:
3161:
3160:
3159:
3156:
3154:
3151:
3149:
3146:
3144:
3141:
3140:
3136:
3131:
3130:
3122:
3119:
3117:
3114:
3110:
3107:
3105:
3102:
3101:
3100:
3097:
3095:
3092:
3090:
3087:
3085:
3080:
3077:
3073:
3070:
3069:
3065:
3062:
3059:
3055:
3051:
3050:
3046:
3043:
3041:
3038:
3036:
3033:
3031:
3026:
3024:
3021:
3019:
3016:
3014:
3011:
3010:
3003:
3002:
2991:
2988:
2986:
2983:
2981:
2978:
2976:
2973:
2971:
2968:
2966:
2963:
2962:
2960:
2959:
2954:
2951:
2950:
2945:
2944:
2938:
2937:
2929:
2926:
2924:
2921:
2919:
2916:
2914:
2911:
2909:
2906:
2904:
2901:
2899:
2896:
2894:
2890:
2888:
2885:
2883:
2879:
2877:
2874:
2871:
2867:
2863:
2861:
2858:
2856:
2853:
2851:
2848:
2846:
2843:
2839:
2836:
2834:
2831:
2830:
2829:
2826:
2824:
2821:
2819:
2816:
2814:
2811:
2809:
2806:
2805:
2798:
2797:
2789:
2786:
2784:
2781:
2779:
2776:
2774:
2771:
2769:
2766:
2764:
2761:
2759:
2756:
2754:
2751:
2750:
2743:
2742:
2736:
2733:
2731:
2728:
2726:
2723:
2722:
2720:
2719:
2715:
2696:
2693:
2683:
2677:
2663:
2662:
2659:
2656:
2655:
2651:
2650:
2637:
2635:
2631:
2627:
2623:
2619:
2615:
2611:
2607:
2603:
2598:
2596:
2592:
2588:
2584:
2580:
2576:
2572:
2568:
2563:
2561:
2557:
2553:
2546:
2537:
2528:
2526:
2522:
2518:
2514:
2510:
2506:
2502:
2498:
2494:
2490:
2486:
2482:
2477:
2475:
2471:
2467:
2463:
2459:
2455:
2451:
2447:
2443:
2439:
2435:
2430:
2428:
2424:
2423:
2418:
2414:
2410:
2406:
2401:
2397:
2396:
2391:
2387:
2382:
2380:
2374:
2368:
2367:
2360:
2351:
2350:Ancient Greek
2347:
2339:
2335:
2330:
2326:
2311:
2307:
2305:
2301:
2298:
2294:
2290:
2288:
2284:
2281:
2277:
2273:
2270:
2268:
2264:
2260:
2258:
2254:
2250:
2246:
2244:
2240:
2236:
2234:
2230:
2227:
2223:
2220:
2216:
2214:
2213:Chromodynamic
2210:
2206:
2202:
2199:
2195:
2193:
2189:
2185:
2181:
2179:
2175:
2171:
2169:
2165:
2161:
2159:
2158:Gravitational
2155:
2151:
2149:
2145:
2141:
2139:
2135:
2131:
2127:
2125:
2121:
2113:
2107:
2105:
2101:
2100:nuclear force
2097:
2093:
2087:
2085:
2081:
2077:
2073:
2069:
2065:
2061:
2053:
2049:
2045:
2041:
2034:
2030:
2026:
2022:
2018:
2014:
2011:In a typical
2009:
2000:
1998:
1994:
1990:
1986:
1982:
1978:
1974:
1970:
1966:
1962:
1957:
1955:
1951:
1947:
1943:
1939:
1935:
1931:
1927:
1923:
1919:
1915:
1911:
1906:
1904:
1900:
1896:
1892:
1888:
1884:
1880:
1876:
1872:
1868:
1864:
1860:
1856:
1852:
1849:
1845:
1842:
1835:
1831:
1828:
1827:Ancient Greek
1824:
1813:
1808:
1806:
1801:
1799:
1794:
1793:
1791:
1790:
1785:
1777:
1776:
1775:
1774:
1767:
1764:
1762:
1759:
1757:
1756:Self-assembly
1754:
1752:
1749:
1748:
1742:
1741:
1733:
1730:
1728:
1727:van der Waals
1725:
1723:
1720:
1718:
1715:
1713:
1710:
1708:
1705:
1703:
1700:
1698:
1695:
1693:
1690:
1688:
1685:
1683:
1680:
1678:
1675:
1673:
1670:
1668:
1665:
1663:
1660:
1658:
1655:
1653:
1652:von Helmholtz
1650:
1648:
1645:
1643:
1640:
1638:
1635:
1633:
1630:
1628:
1625:
1623:
1620:
1618:
1615:
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1074:Ideal gas law
1072:
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604:Vapor quality
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443:
442:Reversibility
440:
438:
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350:
347:
345:
342:
341:
340:
339:
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332:
327:
324:
322:
319:
317:
316:Closed system
314:
313:
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304:
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293:
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288:
286:
283:
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9815: /
9689:Exploitation
9574:Conservation
9517:Desalination
9452:
9345:conservation
9180:Biodiversity
9128:conservation
8975:Agricultural
8903:Fossil fuels
8879:
8715:
8648:Biodiversity
8634:astrobiology
8383:
8356:Elements of
8312:
8300:
8288:
8276:
8058:Oil refinery
8002:Cogeneration
7935:Nuclear fuel
7741:Quintessence
7529:Free entropy
7462:Energy level
7444:
7426:Fundamental
7395:
7336:
7310:
7291:
7273:
7262:. Retrieved
7250:
7225:
7221:
7212:. Retrieved
7203:
7190:trends, and
7177:
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7156:
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7093:
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7079:
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7017:
7013:
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6984:
6978:
6970:
6965:
6954:. Retrieved
6934:
6927:
6916:. Retrieved
6907:
6898:
6887:. Retrieved
6883:the original
6872:
6861:. Retrieved
6842:
6813:
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6777:
6757:. Retrieved
6743:
6735:
6719:
6707:. Retrieved
6692:
6681:. Retrieved
6667:
6655:
6636:
6630:
6611:
6605:
6593:. Retrieved
6584:
6574:
6563:. Retrieved
6554:
6545:
6533:. Retrieved
6500:(1): 61â65.
6497:
6491:
6481:
6470:. Retrieved
6466:
6457:
6433:
6420:
6403:
6387:
6370:
6207:distribution
6200:
6177:
6123:
6072:
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6062:
6057:
6053:
6049:
6045:
6041:
6034:
6029:
5966:
5952:
5940:
5919:
5829:open systems
5826:
5823:Open systems
5814:
5803:
5674:
5663:
5612:
5577:
5513:
5508:
5504:
5498:
5442:
5435:
5414:
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5388:
5386:
5379:
5359:heat engines
5356:
5333:
5310:
5306:
5295:
5274:
5202:
5186:J.J. Thomson
5173:
5169:
5162:
5009:
4998:
4852:
4821:
4770:
4747:
4730:
4686:efficiencies
4679:
4619:Description
4565:to time. In
4556:
4552:
4545:
4522:
4483:
4480:of the body,
4470:
4413:
4393:massive body
4386:
4292:energy level
4268:
4255:
4244:
4212:
4187:
4179:
4175:solar energy
4132:
4089:
4063:
3782:mitochondria
3734:
3717:
3715:
3711:
3664:
3629:
3625:
3621:
3617:
3613:
3604:
3580:
3569:
3564:
3550:
3539:
3526:
3522:
3493:
3433:
3426:
3203: /
3199: /
3197:displacement
3195: /
3056: /
3018:Displacement
2956:
2947:
2941:Formulations
2928:Virtual work
2868: /
2827:
2808:Acceleration
2801:Fundamentals
2626:food calorie
2622:electronvolt
2616:unit is the
2599:
2595:kilocalories
2571:derived unit
2564:
2548:
2509:JoĆŸef Stefan
2478:
2437:
2434:Thomas Young
2431:
2420:
2408:
2399:
2383:
2345:
2343:
2338:Thomas Young
2295:an object's
2278:, including
2203:to form the
2118:Description
2088:
2057:
2029:sound energy
2025:light energy
2015:strike, 500
1989:nuclear fuel
1985:fossil fuels
1958:
1907:
1901:(SI) is the
1881:âthe law of
1848:quantitative
1840:
1837:
1830:
1822:
1821:
1617:Carathéodory
1548:Heat engines
1520:
1509:
1498:
1480:Motive power
1465:
1125:Free entropy
1096:
596:
595: /
585:
584: /
576:introduction
569:
568: /
507:
470:Heat engines
257: /
190:
187:
184:
99:SI unit
91:
77:and a faint
55:plasma globe
36:
9808:Nationalism
9780:Common-pool
9421:Hydrosphere
9414:remediation
9399:Groundwater
8994:Degradation
8699:Prokaryotes
8487:Atmosphere
8482:Meteorology
8314:WikiProject
8134:Agriculture
8063:Solar power
8029:Tidal power
7903:Natural gas
7893:Fossil fuel
7836:Latent heat
7804:Electricity
7057:(1): 1â45.
6778:Gravitation
6675:. Uic.edu.
6535:February 5,
6052:and volume
6032:temperature
5548:spontaneous
5318:heat engine
4726:heat engine
4720:through an
4690:transducers
4682:transformed
4635:temperature
4409:rest energy
4403:instead of
4151:earthquakes
3679:respiration
3650:Food energy
3600:endothermic
3542:Hamiltonian
3339:von Neumann
3006:Core topics
2481:Lord Kelvin
2444:described "
2310:microscopic
2249:oscillation
2130:macroscopic
2128:the sum of
1950:rest energy
1936:carried by
1895:measurement
1855:transferred
1439:Synergetics
1120:Free energy
566:Temperature
427:Quasistatic
422:Isenthalpic
379:Instruments
369:Equilibrium
321:Open system
255:Equilibrium
237:Statistical
111:Other units
9854:Categories
9803:Extraction
9762:Wilderness
9723:accounting
9706:Management
9672:ecological
9660:tragedy of
9579:Peak water
9564:Efficiency
9537:Sanitation
9479:Stormwater
9472:harvesting
9448:Irrigation
9350:management
9308:gene banks
9249:management
9227:management
9143:resilience
9109:phosphorus
9065:industrial
9043:Management
9019:soundscape
8925:Geothermal
8580:Wilderness
8433:geological
8097:Wind power
8019:Hydropower
7970:components
7925:Hydropower
7915:Geothermal
7865:Sound wave
7776:Zero-point
7706:Mechanical
7691:Ionization
7664:Electrical
7559:Negentropy
7440:Energetics
7361:) â BioCab
7214:2017-04-12
7188:population
6956:2022-05-22
6918:2010-12-12
6889:2010-12-12
6863:2022-05-04
6759:2010-12-12
6709:2009-05-29
6683:2010-12-12
6565:2022-07-06
6472:2024-08-28
6449:References
6409:waste heat
6280:Combustion
5554:, for the
5367:waste heat
4785:supernovae
4537:antimatter
4490:in vacuum,
4395:from zero
4383:Relativity
4198:orogenesis
4171:atmosphere
4167:hurricanes
4115:food chain
4066:metabolism
3726:catabolism
3703:metabolism
3693:stored by
3592:exothermic
3553:Lagrangian
3274:d'Alembert
3254:Maupertuis
3217:Scientists
3099:Rigid body
2773:Kinematics
2618:foot pound
2472:. In 1845
2257:Sound wave
2251:of matter
2178:Ionization
2124:Mechanical
2104:weak force
2092:rotational
2017:megajoules
1969:ecosystems
1825:(from
1751:Nucleation
1595:Scientists
1399:Philosophy
1112:Potentials
475:Heat pumps
432:Polytropic
417:Isentropic
407:Isothermal
150:J = kgâ
mâ
s
136:foot-pound
61:to create
9813:Renewable
9798:Depletion
9785:Conflict
9667:Economics
9645:enclosure
9604:Resources
9584:Pollution
9501:Watershed
9404:pollution
9335:Seed bank
9330:Rangeland
9212:Fisheries
9197:Biosphere
9190:biopiracy
9133:fertility
9009:cityscape
9004:Landscape
8911:peak coal
8898:Resources
8849:Emissions
8658:Eukaryota
8625:Hierarchy
8620:Biosphere
8585:Wildfires
8575:Radiation
8565:Ecosystem
8505:Moonlight
8439:Structure
8394:particles
8208:Australia
8144:Transport
8139:Computing
8107:Wind farm
8034:Wave farm
7908:Petroleum
7888:Bioenergy
7860:Radiation
7799:Capacitor
7721:Potential
7159:Biosphere
7014:Phys. Rev
6530:266084433
6514:0036-8148
6155:δ
6132:δ
6106:δ
6097:δ
6065:advection
6002:−
5872:Δ
5776:Δ
5630:Δ
5615:first law
5479:ℏ
5474:≥
5468:Δ
5462:Δ
5246:×
4724:), and a
4583:spacetime
4478:rest mass
4363:ν
4319:ν
4227:supernova
4209:Cosmology
4163:tornadoes
4147:volcanoes
4057:â ATP + H
4053:ADP + HPO
3989:⟶
3851:⟶
3675:organelle
3596:exergonic
3583:chemistry
3577:Chemistry
3469:⋅
3455:∫
3415:Mechanics
3319:Liouville
3201:frequency
3121:Vibration
2838:potential
2763:Continuum
2758:Celestial
2735:Textbooks
2525:conjugate
2432:In 1807,
2379:Aristotle
2359:romanized
2344:The word
2297:rest mass
2013:lightning
1954:rest mass
1887:converted
1732:Waterston
1682:von Mayer
1637:de Donder
1627:Clapeyron
1607:Boltzmann
1602:Bernoulli
1563:Education
1534:Timelines
1318:−
1263:−
1051:Equations
1018:∂
971:∂
922:α
886:∂
839:∂
793:−
787:β
751:∂
704:∂
412:Adiabatic
402:Isochoric
388:Processes
349:Ideal gas
232:Classical
180:Dimension
167:Conserved
156:Extensive
9875:Universe
9839:Category
9772:Resource
9711:adaptive
9609:improved
9569:Conflict
9554:Security
9549:Scarcity
9542:improved
9532:Leaching
9409:recharge
9389:Drinking
9340:Wildlife
9207:Bushmeat
9202:Bushfood
9155:planning
9060:gemstone
9055:Minerals
9036:property
9024:viewshed
9014:seascape
8945:sunlight
8919:peak oil
8915:peak gas
8740:Category
8709:bacteria
8692:protista
8653:Organism
8520:Sunlight
8366:Universe
8278:Category
7843:Hydrogen
7809:Enthalpy
7711:Negative
7701:Magnetic
7686:Internal
7644:Chemical
7509:Enthalpy
7428:concepts
7355:Archived
7330:Journals
7281:Archived
7276:(2018),
7264:10 April
7255:Archived
7208:Archived
7200:"ch. 11"
7128:25662746
7096:: 8323.
7090:Sci. Rep
6950:Archived
6912:Archived
6857:Archived
6818:Archived
6753:Archived
6728:Archived
6703:Archived
6677:Archived
6589:Archived
6581:"Energy"
6559:Archived
6522:27133353
6392:Crystals
6229:See also
5963:pressure
5524:momentum
5400:â
5192:(1900),
5188:(1881),
4848:pendulum
4844:friction
4824:pendulum
4773:Big Bang
4756:and the
4606:transfer
4529:positron
4525:electron
4251:Big Bang
4096:machines
3738:Calories
3732:action.
3691:proteins
3555:, after
3544:, after
3374:Category
3299:Hamilton
3284:Lagrange
3279:Clairaut
3244:Horrocks
3205:velocity
3175:Pendulum
3163:reactive
3135:Rotation
3104:dynamics
3054:Inertial
3040:Friction
2923:Velocity
2898:Momentum
2778:Kinetics
2768:Dynamics
2746:Branches
2730:Timeline
2612:and the
2583:calories
2560:friction
2470:momentum
2438:vis viva
2427:momentum
2409:vis viva
2400:vis viva
2395:vis viva
2366:energeia
2354:áŒÎœÎÏγΔÎčα
2224:to form
2201:nucleons
2168:Chemical
2148:Magnetic
2138:Electric
2072:movement
1983:such as
1861:or to a
1853:that is
1851:property
1841:enérgeia
1834:áŒÎœÎÏγΔÎčα
1784:Category
1722:Thompson
1632:Clausius
1612:Bridgman
1466:Vis viva
1448:Theories
1382:Gas laws
1174:Enthalpy
582:Pressure
397:Isobaric
354:Real gas
242:Chemical
225:Branches
75:movement
57:, using
9640:Commons
9629:Related
9594:Quality
9510:Aspects
9436:glacial
9377:Aquifer
9283:Pasture
9234:Forests
9160:reserve
8935:Nuclear
8905: (
8861:Trading
8856:Airshed
8717:Viruses
8704:archaea
8680:animals
8632: (
8630:Biology
8607:Origin
8560:Ecology
8535:tornado
8495:Climate
8489:(Earth)
8474:Weather
8444:Geology
8431: (
8429:History
8290:Commons
8118:Use and
7977:Biomass
7947:Radiant
7794:Battery
7766:Thermal
7761:Surface
7746:Radiant
7716:Phantom
7696:Kinetic
7674:Binding
7654:Elastic
7637:Nuclear
7632:Binding
7519:Entropy
7417:Outline
7407:History
7119:4321171
7098:Bibcode
7059:Bibcode
7022:Bibcode
6908:EECS20N
6203:entropy
6184:kinetic
6039:entropy
5546:), for
4813:kinetic
4795:), and
4793:thorium
4789:uranium
4762:entropy
4714:turbine
4694:battery
4637:object
4615:process
4486:is the
4476:is the
4377:photons
4351:is the
4331:(where
4239:stellar
4231:quasars
4135:geology
4111:ecology
3780:in the
3758:stearin
3742:glucose
3667:biology
3640:Biology
3518:of the
3334:Koopman
3294:Poisson
3289:Laplace
3234:Huygens
3229:Galileo
3074: (
3013:Damping
2866:Inertia
2860:Impulse
2833:kinetic
2783:Statics
2753:Applied
2725:History
2565:In the
2501:entropy
2466:caloric
2375:
2361::
2319:History
2304:Thermal
2267:Radiant
2233:Elastic
2226:hadrons
2192:Nuclear
2102:or the
2048:kinetic
1965:climate
1920:), the
1707:Smeaton
1702:Rankine
1692:Onsager
1677:Maxwell
1672:Massieu
1377:Entropy
1372:General
1363:History
1353:Culture
1350:History
574: (
571:Entropy
508:italics
309:Systems
124:calorie
9870:Nature
9650:global
9614:policy
9559:Supply
9522:Floods
9489:Sewage
9462:Marine
9454:huerta
9288:Plants
9278:Meadow
9138:health
9116:rights
9104:copper
9082:mining
8980:arable
8880:Energy
8820:Indoor
8668:plants
8500:Clouds
8464:Future
8454:Oceans
8406:Change
8389:Matter
8384:Energy
8358:nature
8302:Portal
8223:Mexico
8218:Europe
8213:Canada
8198:Africa
8121:supply
7930:Marine
7819:Fossil
7771:Vacuum
7524:Exergy
7445:Energy
7396:Energy
7317:
7298:
7278:online
7234:
7172:
7126:
7116:
6991:
6942:
6849:
6784:
6643:
6618:
6595:May 1,
6528:
6520:
6512:
6124:where
6073:closed
5898:matter
5845:matter
5675:where
5580:closed
5205:matter
4696:(from
4660:matter
4587:boosts
4533:matter
4466:where
4296:quanta
4281:. The
4149:, and
3756:) and
3730:enzyme
3689:, and
3687:lipids
3612:. The
3587:energy
3421:, and
3372:
3324:Appell
3309:Cauchy
3304:Jacobi
3249:Halley
3239:Newton
3224:Kepler
3076:linear
3072:Motion
2918:Torque
2893:Moment
2828:Energy
2818:Couple
2495:, and
2346:energy
2293:due to
2222:quarks
2060:system
1995:, and
1975:. The
1948:, and
1940:, the
1932:, the
1891:matter
1823:Energy
1697:Planck
1687:Nernst
1662:Kelvin
1622:Carnot
912:
777:
645:
587:Volume
502:Note:
461:Cycles
290:Second
280:Zeroth
63:plasma
42:Energy
9793:Curse
9599:Right
9441:polar
9431:bergs
9394:Fresh
9362:Water
9075:metal
8999:Field
8950:shade
8940:Solar
8930:Hydro
8815:Index
8687:fungi
8675:fauna
8663:flora
8570:Field
8525:Tides
8416:Earth
8374:Space
8242:Misc.
7952:Solar
7756:Sound
7625:Types
7499:Power
7450:Units
7412:Index
7258:(PDF)
7247:(PDF)
6526:S2CID
6518:JSTOR
6380:force
6376:power
6362:Notes
6192:cycle
5817:joule
5141:total
4649:force
4579:space
4397:speed
4219:stars
4119:fixed
4046:into
3778:water
3695:cells
3614:speed
3565:minus
3520:force
3329:Gibbs
3314:Routh
3269:Euler
2908:Speed
2903:Space
2845:Force
2390:Latin
2280:light
2219:binds
2198:binds
2184:binds
2084:field
2003:Forms
1918:field
1905:(J).
1903:joule
1875:light
1857:to a
1829:
1745:Other
1712:Stahl
1667:Lewis
1657:Joule
1647:Gibbs
1642:Duhem
335:State
295:Third
285:First
104:joule
79:sound
67:light
9728:good
9677:land
9655:land
9467:Rain
9323:wood
9298:food
9261:Game
9172:Life
9123:Soil
9099:peak
9092:sand
8967:Land
8957:Wind
8832:(US)
8809:(US)
8595:Life
8530:Wind
8515:Snow
8510:Rain
8379:Time
8203:Asia
7957:Wind
7898:Coal
7870:Work
7831:Heat
7814:Fuel
7751:Rest
7649:Dark
7614:Work
7482:Mass
7315:ISBN
7296:ISBN
7266:2009
7232:ISBN
7170:ISBN
7157:The
7124:PMID
6989:ISBN
6940:ISBN
6847:ISBN
6782:ISBN
6641:ISBN
6616:ISBN
6597:2007
6537:2024
6510:ISSN
6186:and
6037:and
5967:gain
5953:The
5592:heat
5588:work
5507:and
5438:mass
5361:the
5352:heat
5348:work
5300:and
5280:and
4815:and
4791:and
4750:work
4643:Work
4625:Heat
4535:and
4389:work
4355:and
4245:The
4233:and
4223:nova
4165:and
4159:hail
4074:work
3776:and
3671:cell
3648:and
3435:Work
2913:Time
2876:Mass
2630:kcal
2602:watt
2593:and
2579:ergs
2575:work
2373:lit.
2327:and
2287:Rest
2050:and
2031:and
1967:and
1959:All
1873:and
1871:heat
1867:work
1859:body
1717:Tait
547:Heat
542:Work
272:Laws
116:kWâ
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71:heat
9527:Law
9426:Ice
9266:law
9244:law
9222:law
9150:Use
9087:law
9070:ore
9031:Law
8907:gas
8893:Law
8888:Bio
8825:Law
8790:Air
7824:Oil
7224:(A
7162:(A
7114:PMC
7106:doi
7067:doi
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4213:In
4133:In
4121:by
4048:ATP
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3766:110
3720:in
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3594:or
2634:BTU
2610:erg
2606:CGS
2507:by
2019:of
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