Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 13 - Kinetics of a Particle: Force and Acceleration - Section 13.7 - Central-Force Motion and Space Mechanics - Problems - Page 171: 120

Answer

$5.16~km/s$

Work Step by Step

The required speed can be determined as follows: $v_{\circ}=\sqrt{\frac{GM_e}{r{\circ}}}$ We plug in the known values to obtain: $v_{\circ}=\sqrt{\frac{66.73\times 10^{-12}\times 5.976\times 10^{24}}{15\times 10^6}}$ This simplifies to: $v_{\circ}=5156m/s=5.16~km/s$
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