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Richard Feynman said during a lecture: . There is a fact, or if you wish, a law , governing all natural phenomena that are known to date.
There is no known exception to this law — it is exact so far as we know. The law is called the conservation of energy.
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.
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 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.
This law is a fundamental principle of physics. As shown rigorously by Noether's theorem , the conservation of energy is a mathematical consequence of translational symmetry 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 canonical conjugate to time.
This mathematical entanglement of energy and time also results in the uncertainty principle - it is impossible to define the exact amount of energy during any definite time interval.
The uncertainty principle should not be confused with energy conservation - rather it provides mathematical limits to which energy can in principle be defined and measured.
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 appears as system mass , 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.
In quantum mechanics energy is expressed using the Hamiltonian operator. On any time scales, the uncertainty in the energy is by.
In particle physics , this inequality permits a qualitative understanding of virtual particles which carry momentum , exchange by which and with real particles, is responsible for the creation of all known fundamental forces more accurately known as fundamental interactions.
Virtual photons which are simply lowest quantum mechanical energy state of photons are also responsible for electrostatic interaction between electric charges which results in Coulomb law , for spontaneous radiative decay of exited atomic and nuclear states, for the Casimir force , for van der Waals bond forces and some other observable phenomena.
Energy transfer can be considered for the special case of systems which are closed to transfers of matter.
The portion of the energy which is transferred by conservative forces over a distance is measured as the work the source system does on the receiving system.
The portion of the energy which does not do work during the transfer is called heat. Examples include the transmission of electromagnetic energy via photons, physical collisions which transfer kinetic energy , [note 5] and the conductive transfer of thermal energy.
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 first law : [note 6].
This simplified equation is the one used to define the joule , for example. Beyond the constraints of closed systems, open systems can gain or lose energy in association with matter transfer both of these process are illustrated by fueling an auto, a system which gains in energy thereby, without addition of either work or heat.
Internal energy 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. Thermodynamics is chiefly concerned with changes in internal energy and not its absolute value, which is impossible to determine with thermodynamics alone.
The first law of thermodynamics asserts that energy but not necessarily thermodynamic free energy 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 pressure forces and heat transfer e.
This equation is highly specific, ignoring all chemical, electrical, nuclear, and gravitational forces, effects such as advection of any form of energy other than heat and pV-work.
The general formulation of the first law i. For these cases the change in internal energy of a closed system is expressed in a general form by.
The energy of a mechanical harmonic oscillator a mass on a spring is alternatively kinetic and potential energy. At two points in the oscillation cycle it is entirely kinetic, and at two points it is entirely potential.
Over the whole cycle, or over many cycles, net energy is thus equally split between kinetic and potential. This is called equipartition principle ; total energy of a system with many degrees of freedom is equally split among all available degrees of freedom.
This principle is vitally important to understanding the behaviour of a quantity closely related to energy, called entropy.
Entropy is a measure of evenness of a distribution of energy between parts of a system. When an isolated system is given more degrees of freedom i.
This mathematical result is called the second law of thermodynamics. The second law of thermodynamics is valid only for systems which are near or in equilibrium state.
For non-equilibrium systems, the laws governing system's behavior are still debatable. One of the guiding principles for these systems is the principle of maximum entropy production.
From Wikipedia, the free encyclopedia. This article is about the scalar physical quantity. For an overview of and topical guide to energy, see Outline of energy.
For other uses, see Energy disambiguation. For other uses, see Energetic disambiguation. Physical property transferred to objects to perform heating or work.
The Sun is the source of energy for most of life on Earth. It derives its energy mainly from nuclear fusion in its core, converting mass to energy as protons are combined to form helium.
This energy is transported to the sun's surface then released into space mainly in the form of radiant light energy.
The classical Carnot heat engine. Classical Statistical Chemical Quantum thermodynamics. Zeroth First Second Third. System properties.
Note: Conjugate variables in italics. Work Heat. Material properties. Carnot's theorem Clausius theorem Fundamental relation Ideal gas law.
Free energy Free entropy. History Culture. History General Entropy Gas laws. Entropy and time Entropy and life Brownian ratchet Maxwell's demon Heat death paradox Loschmidt's paradox Synergetics.
Caloric theory Theory of heat. Heat ". Thermodynamics Heat engines. This section needs additional citations for verification. Please help improve this article by adding citations to reliable sources.
Unsourced material may be challenged and removed. September Learn how and when to remove this template message. Main articles: History of energy and timeline of thermodynamics, statistical mechanics, and random processes.
Main article: Units of energy. Second law of motion. History Timeline Textbooks. Newton's laws of motion. Analytical mechanics Lagrangian mechanics Hamiltonian mechanics Routhian mechanics Hamilton—Jacobi equation Appell's equation of motion Koopman—von Neumann mechanics.
Core topics. Circular motion Rotating reference frame Centripetal force Centrifugal force reactive Coriolis force Pendulum Tangential speed Rotational speed.
Main articles: Mechanics , Mechanical work , and Thermodynamics. Main articles: Bioenergetics and Food energy. Main article: Energy operator.
Main article: Energy transformation. Main article: Conservation of energy. For the pipeline company, see Energy Transfer Partners.
Energy portal Physics portal. Combustion Index of energy articles Index of wave articles Orders of magnitude energy Power station Transfer energy.
See e. Lehrman, Robert L. The Physics Teacher. Bibcode : PhTea.. A worker stacking shelves in a supermarket does more work in the physical sense than either of the athletes, but does it more slowly.
However, the maximum energy that can be "recycled" from such recovery processes is limited by the second law of thermodynamics.
Online Etymology Dictionary. Archived from the original on October 11, Retrieved May 1, The University of Chicago Press. Jacaranda Physics 1 2 ed.
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