Conceptual Physics (12th Edition)

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

Chapter 35 - Think and Explain: 77

Answer

The momentum of the rocket ship is 2mv, twice the classical value of mv.

Work Step by Step

If its measured length is half its normal length, its speed must be 0.866c, so that $\gamma = 2$. It is contracted along its direction of motion by a factor of two. The relativistic formula for momentum, $p = \gamma mv$, is greater than the classical formula $p = mv$.
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