Newton's Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force F = G m1 m2/r2 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 = a to r = b. Compute the work required to launch a 1000-kg satellite vertically to a height of 1000 km. You may assume that the earth's mass is 5.98 Times 1024 kg and is concentrated at its center. Take the radius of the earth to be 6.37 Times 106 and G = 6.67 Times 10-11 N m/kg2