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 384: 83g

Answer

$a = 4.01\times 10^7~m$

Work Step by Step

In part (f), we found that $~~E = -2.37\times 10^{11}~J$ We can find the semimajor axis: $E = -\frac{GMm}{2a} = -2.37\times 10^{11}~J$ $a = \frac{GMm}{(2)(2.37\times 10^{11}~J)}$ $a = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(9.50\times 10^{25}~kg)(3000~kg)}{(2)(2.37\times 10^{11}~J)}$ $a = 4.01\times 10^7~m$
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