physics

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an electron has a kinetic energy that is 1.8 times its rest energy. What is its speed, expressed as a fraction of the speed of light?

  • physics -

    m•c^2 = 1.8•m(o) •c^2,
    m(o) •c^2/sqrt(1- β^2) = 1.8•m(o) •c^2,
    sqrt(1- β^2) =1/1.8
    β = 0.831
    β = v/c ,
    v = 0.831c = 2.49•10^8 m/s

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