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: 3

Answer

35 light years.

Work Step by Step

You measure the contracted length. Use equation 26–3a. $$\mathcal{l} = \mathcal{l}_{o} \sqrt{1-\frac{ v^{2} } { c^{2} }} $$ $$= (135ly) \sqrt{1-\frac{ (2.90\times10^8m/s)^{2} } { (3.00\times10^8m/s)^{2} }} $$ $$= 34.6ly\approx 35ly$$
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