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 770: 73

Answer

$KE = 1.7\times10^{21}J$ 20x greater

Work Step by Step

Use equation 26–5b to find the kinetic energy. $$KE= (\gamma-1)mc^2$$ $$KE = (\frac{1}{\sqrt{1-0.90^2}}-1)(14500kg)(3.00\times10^8m/s)^2$$ $$KE = 1.7\times10^{21}J$$ The spaceship’s kinetic energy is about $2\times10^1$ times greater than the annual U.S. energy consumption.
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