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An important idea in relativity is to know
when you can use classical mechanics and
when you should use relativity. The
relativistic and classical formulas for kinetic
energy are: T_relativistic = E - moc² and
T_classical = 1/2mov² = 1/2moc²beta². At
what fraction of the rest energy is the
classical formula valid to within 2%?
Express your answer as: T/m0c^2 = 1/a

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