Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 35 - Think and Solve: 41

Answer

The momentum of the bus and the electron, when they move at 0.99c, is 7.09 times greater than predicted by classical physics.

Work Step by Step

Find $\gamma$ at v = 0.99c. It is $\frac{1}{\sqrt{1-v^{2}/c^{2}}}$, or $\frac{1}{\sqrt{1-0.99^{2}}}$, which is 7.09. The relativistic formula for momentum, $p = \gamma mv$, is greater than the classical formula $p = mv$. The momentum of the bus and the electron, when they move at 0.99c, is 7.09 times greater than predicted by classical physics.
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