Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 26 - The Special Theory of Relativity - Problems - Page 767: 1

Answer

83.9 m

Work Step by Step

You measure the contracted length. Find the rest length from equation 26–3a. $$\mathcal{l} = \mathcal{l}_{o} \sqrt{1-\frac{ v^{2} } { c^{2} }} $$ $$\mathcal{l}_{o} = \frac{\mathcal{l}}{ \sqrt{1-\frac{ v^{2} } { c^{2} }}} $$ $$\mathcal{l}_{o} = \frac{44.2m}{ \sqrt{1-0.850^2 }} =83.9m$$
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