Speed and Mass Ratios
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Calculate the ratio of v/c and m/m_o for
a) 100 keV electron
b) 1 MeV electron
c) 1 MeV proton
d) 100 MeV proton
Note: m_o is rest mass
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Solution Summary
This solution calculates speed ratios (speed / speed of light ) and mass ratios (mass / mass at rest ) of electrons and protons.
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m= mo/square root of (1-v^2/c^2)
or m/ mo= 1/square root of (1-v^2/c^2)
But (1/square root of (1-v^2/c^2)= 1+T/(moc^2)=
where T is the kinetic energy
Therefore
m/ mo=1+T/(moc^2)
Also by similar manipulation of the terms v/c= square root of {1- (mo/m)^2}
a) 100 keV electron
mo= rest mass = 9.1E-31 Kg
c= speed of light = ...
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