(a) What is the potential energy of the satellite?Earth system? _________ J (b)

Question

(a) What is the potential energy of the satellite?Earth system?
_________ J

(b) What is the magnitude of the gravitational force exerted by the Earth on the satellite?
_________ N

(c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.)
________N

Please use my numbers. Thank you!

A satellite in Earth orbit has a mass of 107 kg and is at an altitude of 2.09 10^6 m. (Assume that U = 0 as r ? ?.) (a) What is the potential energy of the satellite Earth system? _________ J (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? _________ N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.) ________N Please use my numbers. Thank you!

Explanation / Answer

Part A)

Apply U = -GMm/r

U = -(6.67 X 10-11)(5.98 X 1024)(107)/(2.09 X 106 + 6.38 X 106)

U = -5.04 X 109 J (Ignore the negative sign convention if your answer key wants you to)

Part B)

F = GMM/r2

F = (6.67 X 10-11)(5.98 X 1024)(107)/(2.09 X 106 + 6.38 X 106)2

F = 595 N

Part C)

By Newton's Laws, the forces are equal, so the satellite applies a force of 595 N on the Earth as well

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