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March 26, 2017

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A particle of mass m0 is given a kinetic energy equal to one-third its rest-mass energy. How fast must the particle be traveling? please include units

  • Physics - ,

    Kinetic energy =
    Total energy - m0*c^2
    = (1/3)*m0*c^2
    Total energy = (4/3)m0*c^2
    = m0*c^2/sqrt[1 - (v/c)^2]

    sqrt[1 - (v/c)^2] = 3/4
    1 - (v/c)^2 = 9/16
    (v/c)^2 = 7/16
    v/c = 0.661

    You don't need units in that dimensionless form.

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