Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 37 - Relativity - Problems: 12b

Answer

$\gamma = 2 $

Work Step by Step

From part (a), we knew that $\beta = 0.866$. The formula for lorenz factor is $\gamma = \frac{1}{\sqrt (1-(\frac{v}{c})^2)}$. Substituting the above value of $\beta$ in the formula and solving: $\gamma = \frac{1}{\sqrt (1-\beta^2)}$ $\gamma = \frac{1}{\sqrt (1-0.866^2)}$ $\gamma = 2 $
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