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 - Page 1152: 103b


$\beta=1.7\times 10^{-12}$

Work Step by Step

To find the speed parameter beta, remember that $$\beta=\frac{v}{c}$$ The velocity must be in meters per second, so dimensional analysis must be performed. $$\frac{0.5mm}{1s}\times \frac{1m}{1000mm}=5\times 10^{-4}m/s$$ Substituting known values of $v=5\times 10^{-4}m/s$ and $c=3\times 10^8m/s$ yields a beta value of $$\beta=\frac{5\times 10^{-4}m/s}{3\times 10^8m/s}=1.7\times 10^{-12}$$
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