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 - General Problems - Page 769: 55

Answer

a) $v=0.66c$ b) $\Delta t_E=6.52 years$

Work Step by Step

a) $v=\frac{\Delta x_s}{\Delta t_s}=\frac{\Delta x_E\sqrt{1-\frac{v^2}{c^2}}}{\Delta t_s}=c\sqrt{1-\frac{v^2}{c^2}}=\frac{c}{\sqrt{1+\frac{(c\Delta t_S)^2}{(\Delta x_E)^2}}}=\frac{2.998\times10^8\frac{m}{s}}{\sqrt{1+\frac{(4.9ly)^2}{(4.3ly)^2}}}=0.66c$ b) $\Delta t_E=\frac{\Delta t_s}{\sqrt{1-\frac{v^2}{c^2}}}=\frac{4.9 years}{\sqrt{1-\frac{(0.66c)^2}{c^2}}}=6.52 years$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.