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: 17

Answer

$\approx 3\times10^{14}m$

Work Step by Step

The Schwarzschild radius is given on page 963: $\frac{2GM}{c^2}$. Put in values for a typical galaxy. In example 33-1 on page 949 the estimate is $2\times10^{41}kg$, though the text on the very same page quotes twice that value. This is a rough estimate. $$R_{S,G}=\frac{2GM}{c^2}$$ $$R_{S,G}=\frac{2(6.67\times10^{-11}Nm^2/kg^2)(2\times10^{41}kg)}{(3.00\times10^8m/s)^2}$$ $$\approx 3\times10^{14}m $$
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