Physics: Principles with Applications (7th Edition)

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

Chapter 33 - Astrophysics and Cosmology - Problems - Page 981: 16

Answer

$\approx 8.9\;mm$

Work Step by Step

The Schwarzschild radius is given on page 963: $\frac{2GM}{c^2}$. Put in values for the Earth. $$R_{S,E}=\frac{2GM}{c^2}$$ $$R_{S,E}=\frac{2(6.67\times10^{-11}Nm^2/kg^2)( 5.98\times10^{24}kg)}{(3.00\times10^8m/s)^2}$$ $$\approx 8.9\;mm$$
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