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5.9 Exercise 53

Avg difficulty 2.5

(a) Show that (pc)2/(mc2)2=γ2−1.\left(p c\right)^{2} / \left(m c^{2}\right)^{2} = \gamma^{2} - 1 . This means that at large velocities pc>>mc2.p c > > m c^{2} . (b) Is E≈pcE \approx p c when γ=30.0,\gamma = 30.0 , as for the astronaut discussed in the twin paradox?

OpenStax University Physics Volume 3, 5.9 Relativistic Energy, exercise 53

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Adapted from University Physics Volume 3 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 3. Imported at revision db44eb9.