Answered: A geosynchronous satellite moves in a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 15P

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Question

A geosynchronous satellite moves in a circular orbit around Earth (i.e., its period is 24 hours). Find the radius of the satellite's orbit and the satellite's speed about earth (Earth's mass is M_E = 5.98 X 10²⁴ kg, G = 6.673 X 10^-11Nm² /kg² ).

A.) r = 6.38 X 10⁶ m and v = 5281.8 m/s

B.) r = 4.23 X 10⁷ m and v = 3072.5 m/s

C.) r = 5.12 X 10⁶ m and v = 28403.1 m/s

D.)r = 1.46 X 10⁷ m and v = 7465.9 m/s

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