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  2. Kinetic energy - Wikipedia

    en.wikipedia.org/wiki/Kinetic_energy

    3.1.1 Derivation. 3.1.1.1 Without ... In physics, the kinetic energy of an object is the form of energy that it possesses due to its ... This equation states that the ...

  3. Energy operator - Wikipedia

    en.wikipedia.org/wiki/Energy_operator

    Re-arranging the equation leads to =, where the energy factor E is a scalar value, the energy the particle has and the value that is measured. The partial derivative is a linear operator so this expression is the operator for energy: E ^ = i ℏ ∂ ∂ t . {\displaystyle {\hat {E}}=i\hbar {\frac {\partial }{\partial t}}.}

  4. Lagrangian mechanics - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_mechanics

    Kinetic energy T is the energy of the system's motion and is a function only of the velocities v k, not the positions r k, nor time t, so T = T(v 1, v 2, ...). V , the potential energy of the system, reflects the energy of interaction between the particles, i.e. how much energy any one particle has due to all the others, together with any ...

  5. Energy–momentum relation - Wikipedia

    en.wikipedia.org/wiki/Energy–momentum_relation

    Total energy is the sum of rest energy = and relativistic kinetic energy: = = + Invariant mass is mass measured in a center-of-momentum frame. For bodies or systems with zero momentum, it simplifies to the mass–energy equation E 0 = m 0 c 2 {\displaystyle E_{0}=m_{0}c^{2}} , where total energy in this case is equal to rest energy.

  6. Kinetic theory of gases - Wikipedia

    en.wikipedia.org/wiki/Kinetic_theory_of_gases

    Thus, the ratio of the kinetic energy to the absolute temperature of an ideal monatomic gas can be calculated easily: per mole: 12.47 J/K; per molecule: 20.7 yJ/K = 129 μeV/K; At standard temperature (273.15 K), the kinetic energy can also be obtained: per mole: 3406 J; per molecule: 5.65 zJ = 35.2 meV.

  7. Bernoulli's principle - Wikipedia

    en.wikipedia.org/wiki/Bernoulli's_principle

    The energy entering through A 1 is the sum of the kinetic energy entering, the energy entering in the form of potential gravitational energy of the fluid, the fluid thermodynamic internal energy per unit of mass (ε 1) entering, and the energy entering in the form of mechanical p dV work: = (+ + +) where Ψ = gz is a force potential due to the ...

  8. Two-body problem - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem

    In the center of mass frame the kinetic energy is the lowest and the total energy becomes = ˙ + The coordinates x 1 and x 2 can be expressed as = = and in a similar way the energy E is related to the energies E 1 and E 2 that separately contain the kinetic energy of each body: = = ˙ + = = ˙ + = +

  9. Mean free path - Wikipedia

    en.wikipedia.org/wiki/Mean_free_path

    In physics, mean free path is the ... derived from the Fermi energy via the non-relativistic kinetic energy equation. ... is used in the derivation of the Sabine ...