Question

A satellite in Earth orbit has a mass of 97 kg and is at an altitude of 1.94 x 105 m. (Assume that U = 0 as r → 00.) (a) What is the potential energy of the satellite-Earth system? (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 O.)

Answer 1

From Newton’s third law of motion, the magnitude of force exerted by earth on the satellite is equal to the magnitude of force exerted by satellite on the earth.

e M = mass of Earth m= 1 i satellite lr=Rth=6370km + 1.940106 US U = - Gimm - Gmm son must not satellite =-G(5.972x10 24 kg) (97 kg) (6370000 + 1.94X166) m = 1-4.65x1095 Fe GMM F = GMM G(5.972810 24 kg) (97 kg) (6370000 + 1.94X106)2 = 559.52N 5) 22 Force satellite exerts on earth = Force earth exerts on Satellite. = 1559.52 N

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