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 1146: 13c

Answer

Observers on earth will measure the traveler to be 3.705 years older.

Work Step by Step

We can use our answer from 13(a) in the time dilation equation to find out how much older observers on earth will measure the traveler to be. Therefore; $\Delta t=\Delta t_0 / \sqrt{1-\beta^2 }$ $\Delta t=26.26 years / \sqrt{1-0.9900^2 }$ $\Delta t=3.705years$
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