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Relativistic dynamics

  1. Jul 28, 2007 #1
    1. The problem statement, all variables and given/known data
    How much work must be done on a proton to increase its speed by each of the values below?

    (a) 0.15c to 0.16c
    (b) 0.81c to 0.82c
    (c) 0.93c to 0.94c

    The answer is given in MeV which is a million electron volts.
    mass of proton=1.67x10^-27kg
    2. Relevant equations
    1 J=1.6x10^-19eV=1.6x10^-13MeV

    3. The attempt at a solution
    I'm not sure if this is even the correct equation to use, but I don't see any other appropriate equations in this book.

    Energy required at .15c
    Convert to MeV

    Energy required at .16c
    convert to MeV

    Energy required to go from .15c-16c
    Which I found to be wrong, obviously.

    Thanks in advance to any and all help. Much appreciated.

  2. jcsd
  3. Jul 29, 2007 #2


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    Science Advisor
    Homework Helper

    You have misunderstood the equation, in e=mc^2 C is the speed of light and is always constant. The value s0.15C etc that you have been given are speeds as fractions of the speed of light.
    Kinetic energy is E = 1/2 m v^2, there is a small correction for relativistic speeds which you will have to lookup for the higher spped cases.
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