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How much work must be done to increase the speed of an electron from 0.200c to 0.210c? In (MeV)

  • physics -

    The energy is given by E = gamma m c^2. Take the difference of this for
    v= 0.210c and 0.200 c

  • physics -

    CountIblis is correct.

    gamma is 1/sqrt[1 - (v/c)^2]

    gamma changes from 1.0206 to 1.0461

    Multiply the difference by the rest mass energy.

  • physics -

    is rest mass energy

    9.11e-31 * (3e8)^2 ??

    and do I need to convert from J to ev to KeV?

    Thanks for the help

  • physics -

    Yes, that is the rest mass energy in Joules.

    Since they do ask for the answer in MeV, use the conversion factor
    1 MeV = 1.602*10^-12 J

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