Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
26
Special Theory of Relativity
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26-4 and 26-5: Time Dilation, Length Contraction
26-7: Relativistic Momentum
26-9: Mass and Energy
26-10: Relativistic Addition of Velocities

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 40
Q

Calculate the kinetic energy and momentum of a proton (m = 1.67×1027 kg1.67 \times 10^{-27} \textrm{ kg}) traveling 8.65×107 m/s8.65 \times 10^7 \textrm{ m/s}. By what percentages would your calculations have been in error if you had used classical formulas?

A
KE=41.7 MeV, p=283 MeV/c\textrm{KE} = 41.7 \textrm{ MeV, } p = 283 \textrm{ MeV/c}
% errorKE=6.3%, % errorp=4.3%\textrm{\% error}_{KE} = -6.3 \%, \textrm{ \% error}_p = -4.3 \%
Giancoli 7th Edition, Chapter 26, Problem 40 solution video poster
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