Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 8 - Exercises and Problems - Page 147: 23

Answer

$2.8\times10^5m$

Work Step by Step

As we know that: $T^2=\frac{4\pi^2r^3}{GM}$ This can be rearranged as: $r=\sqrt[3] {\frac{T^2GM}{4\pi^2}}$ We plug in the known values to obtain: $r=\sqrt[3] {\frac{(112\times 60)^2(6.67\times 10^{-11})(0.642\times 10^{24})}{4\pi^2}}$ $r=3.66\times 10^6m$ We can now find the aircraft's altitude: $ h = 3.66\times 10^6m-3.38\times10^6 m=2.8\times10^5m$
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