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  2. Conservation of energy - Wikipedia

    en.wikipedia.org/wiki/Conservation_of_energy

    This is an accepted version of this page This is the latest accepted revision, reviewed on 4 December 2024. Law of physics and chemistry This article is about the law of conservation of energy in physics. For sustainable energy resources, see Energy conservation. Part of a series on Continuum mechanics J = − D d φ d x {\displaystyle J=-D{\frac {d\varphi }{dx}}} Fick's laws of diffusion Laws ...

  3. Rankine–Hugoniot conditions - Wikipedia

    en.wikipedia.org/wiki/Rankine–Hugoniot_conditions

    Conservation of energy where m is the mass flow rate per unit area, ρ 1 and ρ 2 are the mass density of the fluid upstream and downstream of the wave, u 1 and u 2 are the fluid velocity upstream and downstream of the wave, p 1 and p 2 are the pressures in the two regions, and h 1 and h 2 are the specific (with the sense of per unit mass ...

  4. Elastic energy - Wikipedia

    en.wikipedia.org/wiki/Elastic_energy

    Elastic energy is the mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally deformed in any manner.

  5. Noether's theorem - Wikipedia

    en.wikipedia.org/wiki/Noether's_theorem

    The local conservation of non-gravitational linear momentum and energy in a free-falling reference frame is expressed by the vanishing of the covariant divergence of the stress–energy tensor. Another important conserved quantity, discovered in studies of the celestial mechanics of astronomical bodies, is the Laplace–Runge–Lenz vector .

  6. Elastic mechanisms in animals - Wikipedia

    en.wikipedia.org/wiki/Elastic_mechanisms_in_animals

    When a force is applied to a spring it bends and stores energy in the form of elastic strain energy and when it recoils after the force has been released, this energy is released as well. [1] Elastic proteins provide the property of elasticity which gives the spring the ability to bend reversibly without the loss of energy, and the ability to ...

  7. First law of thermodynamics - Wikipedia

    en.wikipedia.org/wiki/First_law_of_thermodynamics

    This problem is solved by recourse to the principle of conservation of energy. This principle allows a composite isolated system to be derived from two other component non-interacting isolated systems, in such a way that the total energy of the composite isolated system is equal to the sum of the total energies of the two component isolated ...

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  9. Mechanical energy - Wikipedia

    en.wikipedia.org/wiki/Mechanical_energy

    The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant. If an object moves in the opposite direction of a conservative net force, the potential energy will increase; and if the speed (not the velocity ) of the object changes, the kinetic ...