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12 September, 23:24

At what speed is a particle's kinetic energy twice its rest energy?

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  1. 12 September, 23:50
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    The total energy of a particle is its rest energy plus the kinetic energy. Its formula is: Et = m^2/sqrt ((1-v^2) / c^2))

    The rest energy is equal to the product of mass and the square of light velocity: Er=mc^2.

    When the kinetics energy is twice its rest energy this holds:

    Et=Er

    m^2/sqrt ((1-v^2) / c^2)) = mc^2.

    sqrt ((1-v^2) / c^2)) = m/c^2

    => v=sqrt (3/2) c
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