Problem 33E

a Newtons Law of Gravitation states that two bodies with masses mi and m2 attract each other with a force F=Gm1m2r2 where r is the distance between the bodies and G is the gravitational constant. If one of the bodies is fixed, find the work needed to move the other from r=aandr=b b Compute the work required to launch a 1000-kg satellite vertically to a height of 1000 km. You may assume that the earths mass is 5.981024kg and is concentrated at its center. Take the radius of the earth to be 6.37106m and G=6.671011N.m2/kg2.

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