A 500 kg satellite remains at the same location relative to a location on a Planet Mars that rotates on its axis. The distance from the center of the Planet Mars to the satellite is r = 3.03 x 107 m. (M Mars = 6.42 x 1023 kg, G 6.67 x 1011 kg1 m³/s?) (a) What is the equation used to calculate the orbital period, T of the satellite? 472 %3D GMMars 472 T2 = GMMars 47 T = GM Satellite (b) Calculate the orbital period, T of the satellite (your answer must be in 2 decimal places) Your answer is x 105 s c) What is the equation used to calculate the speed of satellite?

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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Problem 27P: The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite....
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A 500 kg satellite remains at the same location relative to a location on a Planet Mars that rotates on
its axis. The distance from the center of the Planet Mars to the satellite is r = 3.03 x 107 m.
(M Mars = 6.42 x 1023 kg, G = 6.67 x 1011 kg 1 m3/s2
%3D
(a)
What is the equation used to calculate the orbital period, T of the satellite?
472
T3 =
%3D
GMMars
472
T2 =
73
GM Mars
%3D
472
%3D
GM Satellite
(b) Calculate the orbital period, T of the satellite
(your answer must be in 2 decimal places)
Your answer is
x 105 s
(c) What is the equațion used to calculate the speed of satellite?
G MMars
Transcribed Image Text:A 500 kg satellite remains at the same location relative to a location on a Planet Mars that rotates on its axis. The distance from the center of the Planet Mars to the satellite is r = 3.03 x 107 m. (M Mars = 6.42 x 1023 kg, G = 6.67 x 1011 kg 1 m3/s2 %3D (a) What is the equation used to calculate the orbital period, T of the satellite? 472 T3 = %3D GMMars 472 T2 = 73 GM Mars %3D 472 %3D GM Satellite (b) Calculate the orbital period, T of the satellite (your answer must be in 2 decimal places) Your answer is x 105 s (c) What is the equațion used to calculate the speed of satellite? G MMars
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