University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 37 - Relativity - Problems - Exercises - Page 1249: 37.35

Answer

See explanation.

Work Step by Step

a. $m=\frac{E}{c^2}=\frac{1.0\times10^{20}J}{(3.00\times10^8m/s)^2}=1.11\times10^3 kg$ b. Find the volume V. $$\rho=\frac{m}{V}$$ $$V=\frac{m}{\rho}=\frac{1.11\times10^3 kg }{7860kg/m^3}=0.141m^3$$ Find the side length of a cube with this much volume. $$V=L^3$$ $$L=V^{1/3}=(0.141m^3)^{1/3}=0.521m$$
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