Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 30 - Nuclear Physics and Radioactivity - General Problems - Page 883: 77

Answer

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Work Step by Step

a. Find the number of nucleons by dividing the mass of the Earth by the mass of a nucleon. $$A=\frac{5.98\times10^{24}kg}{1.67\times10^{-27}kg}=3.581\times10^{51}$$ Use equation 30–1 to find the radius. $$r=(1.2\times10^{-15}m)A^{1/3}=183.6m\approx 1.8 \times10^2 m$$ b. Find the number of nucleons by dividing the mass of the sun by the mass of a nucleon. $$A=\frac{1.99\times10^{30}kg}{1.67\times10^{-27}kg}=1.192\times10^{57}$$ Use equation 30–1 to find the radius. $$r=(1.2\times10^{-15}m)A^{1/3}=12722m\approx 1.3 \times10^4 m$$
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