Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.1 - Radicals and Radical Functions - Exercise Set - Page 418: 115


Approximately $11,181$ m/s.

Work Step by Step

Given formula: $v=\sqrt\frac{2Gm}{r}$, where $m$ is the mass of the planet, $r$ is its radius, and $G$ is the universal gravitational constant, which has a value of $G = 6.67 \times 10^{-11}$m$^{3}/$kg$\times$s$^{2}$. Substitute the values from the question into the formula. $v=\sqrt\frac{2(6.67\times10^{-11})(5.97\times10^{24})}{6.37\times10^{6}}$ $v=11,181$ The escape velocity is approximately $11,181$ m/s.
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