College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 26 - Relativity - Learning Path Questions and Exercises - Multiple Choice Questions - Page 904: 18

Answer

(d) one can be larger or smaller than the other, depending on the object's velocity.

Work Step by Step

The magnitude of the relativistic momentum of a particle of mass m moving with speed v is :- $p=\frac{mV}{\sqrt (1-\frac{V^{2}}{c^{2}})}=vmV$ where $mV$ is the Newtonian momentum and $v=\frac{1}{\sqrt (1-\frac{V^{2}}{c^{2}})}$ When $V<1$ So the magnitude of relativistic momentum is larger than the Newtonian momentum at high speeds. (d) is the answer.
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