Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.1 - Radical Expressions and Radical Functions - Exercise Set - Page 688: 114

Answer

2,374 m/s

Work Step by Step

$v = \sqrt {2Gm/r}$ mass = $7.35*10^{22}$ kg radius = $1.74 *10^{6}$ m G = $6.67*10^{-11}$ $m^3/kg*s^2$ $v = \sqrt {2*6.67*10^{-11}*7.35*10^{22}/1.74*10^6}$ $v = \sqrt {2*6.67*10^{11}*7.35/1.74*10^6}$ $v = \sqrt {2*6.67*10^5*7.35/1.74}$ $v = \sqrt {2*6.67*10^5*7.35/1.74}$ $v = \sqrt {98.049*10^5/1.74}$ $v = \sqrt {56.35*10^5}$ $v = \sqrt {56.35*10^5}$ $v = \sqrt {5635000}$ $v = 2373.8155$
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