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: 18

Answer

$3.57\times10^{16}kg$

Work Step by Step

The Schwarzschild radius is given on page 963: $\frac{2GM}{c^2}$. Solve for the mass: $M=\frac{Rc^2}{2G}$ $$M=\frac{(5.29\times10^{-11}m)(3.00\times10^8m/s)^2}{2(6.67\times10^{-11}Nm^2/kg^2) } $$ $$=3.57\times10^{16}kg $$
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