Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 13 - Gravitation - Problems - Page 380: 22c

Answer

$a_g = 9.82~m/s^2$

Work Step by Step

In part (a), we found that at $r_0$: $~~~~a_g = \frac{0.2495~c^4}{G~M_h}$ We can find $a_g$ for this very massive black hole: $a_g = \frac{0.2495~c^4}{G~M_h}$ $a_g = \frac{(0.2495)~(3.0\times 10^8~m/s)^4}{(6.67\times 10^{-11}~N~m^2/kg^2)~(1.55\times 10^{12})(1.99\times 10^{30}~kg)}$ $a_g = 9.82~m/s^2$
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