Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 35 - Reading Check Questions (Comprehension): 25

Answer

A meterstick moving at $99.5\%$ the speed of light would appear to be one-tenth its original length.

Work Step by Step

Let $L_{o}$ represent the original, proper length, and L the measured length of the moving object. $$L = L_{o} \sqrt{1-\frac{ v^{2} } { c^{2} }} $$ $$L = L_{o} \sqrt{1-0.995^{2}} = \frac{1}{10} L_{o} $$ This is discussed on page 676.
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