?(a) Show that \((p c)^{2} /\left(m c^{2}\right)^{2}=\gamma^{2}-1\). This means that at

Chapter 5, Problem 103

(choose chapter or problem)

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

Text Transcription:

(pc)^2/(mc^2)^2 = gamma^2 - 1

pc>> mc^2

E approx pc

gamma = 30.0

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