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  2. Kinetic energy - Wikipedia

    en.wikipedia.org/wiki/Kinetic_energy

    [1] In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is . [2] The kinetic energy of an object is equal to the work, or force in the direction of motion times its displacement , needed to accelerate the object from rest to its given speed.

  3. Lorentz factor - Wikipedia

    en.wikipedia.org/wiki/Lorentz_factor

    Its initial value is 1 (when v = 0); and as velocity approaches the speed of light (vc) γ increases without bound (γ → ∞). α (Lorentz factor inverse) as a function of velocity—a circular arc. In the table below, the left-hand column shows speeds as different fractions of the speed of light (i.e. in units of c). The middle column ...

  4. Energy–momentum relation - Wikipedia

    en.wikipedia.org/wiki/Energy–momentum_relation

    If the body's speed v is much less than c, then reduces to E = ⁠ 1 / 2m 0 v 2 + m 0 c 2; that is, the body's total energy is simply its classical kinetic energy (⁠ 1 / 2m 0 v 2) plus its rest energy.

  5. Derivations of the Lorentz transformations - Wikipedia

    en.wikipedia.org/wiki/Derivations_of_the_Lorentz...

    The usual treatment (e.g., Albert Einstein's original work) is based on the invariance of the speed of light. However, this is not necessarily the starting point: indeed (as is described, for example, in the second volume of the Course of Theoretical Physics by Landau and Lifshitz), what is really at stake is the locality of interactions: one supposes that the influence that one particle, say ...

  6. Proper velocity - Wikipedia

    en.wikipedia.org/wiki/Proper_velocity

    Log-log plot of γ (blue), v/c (cyan), and η (yellow) versus proper velocity w/c (i.e. momentum p/mc).Note that w/c is tracked by v/c at low speeds and by γ at high speeds. The dashed red curve is γ − 1 (kinetic energy K/mc 2), while the dashed magenta curve is the relativistic Doppler factor.

  7. Relativistic mechanics - Wikipedia

    en.wikipedia.org/wiki/Relativistic_mechanics

    where p = γ(v)m 0 v is the momentum as defined above and m 0 is the invariant mass. Thus, the force is given by Thus, the force is given by F = γ 3 m 0 a ∥ + γ m 0 a ⊥ w h e r e γ = γ ( v ) {\displaystyle \mathbf {F} =\gamma ^{3}m_{0}\,\mathbf {a} _{\parallel }+\gamma m_{0}\,\mathbf {a} _{\perp }\ \mathrm {where} \ \gamma =\gamma ...

  8. Rotational energy - Wikipedia

    en.wikipedia.org/wiki/Rotational_energy

    As the Earth has a sidereal rotation period of 23.93 hours, it has an angular velocity of 7.29 × 10 −5 rad·s −1. [2] The Earth has a moment of inertia, I = 8.04 × 10 37 kg·m 2. [3] Therefore, it has a rotational kinetic energy of 2.14 × 10 29 J. Part of the Earth's rotational energy can also be tapped using tidal power.

  9. Moving load - Wikipedia

    en.wikipedia.org/wiki/Moving_load

    massless load inertial load Vibrations of a string under a moving massless force (v=0.1c); c is the wave speed.Vibrations of a string under a moving massless force (v=0.5c); c is the wave speed.

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