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28.6 Exercise 28

Avg difficulty 2.5

(a) Show that (pc)2/(mc2)2=γ2−1\left(\right. pc \left.\right)^{2} / \left(\right. mc^{2} \left.\right)^{2} = \gamma^{2} - 1. This means that at large velocities pc>>mc2pc >> mc^{2}. (b) Is E≈pcE \approx \text{pc} when γ=30.0\gamma = \text{30} . 0, as for the astronaut discussed in the twin paradox?

OpenStax College Physics 2e, 28.6 Relativistic Energy, exercise 28

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.