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    Relativistic mechanics kinetic energy

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    1. State the conservation of momentum and kinetic energy in collisions in classical mechanics and relativistic mechanics

    2. derive the relativistic kinetic energy.

    3. Derive the total relativistic force as a function of momentum.

    please show the solutions in detail, stepwise.

    © BrainMass Inc. brainmass.com May 20, 2020, 7:58 pm ad1c9bdddf
    https://brainmass.com/physics/special-relativity/relativistic-mechanics-kinetic-energy-369649

    Solution Preview

    Please find the solution attached.

    • In Newtonian mechanics momentum is always conserved, while total energy is conserved if and only if the all forces (internal and external) in the system are conservative.
    • In relativistic mechanics both momentum and total energy are always conserved.

    In the stationary (lab) frame we have a particle that moves with velocity
    We start with the basic postulate of special relativity that the four-line element is invariant at any system:
    ...

    Solution Summary

    The expert states the conservation of momentum and kinetic energy in collision in classical mechanics and relativistic mechanics. The relativistic kinetic energy is derived.

    $2.19

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