(a) Newtons Law of Gravitation states that two bodies with masses m1 and m2 attract each

Chapter 6, Problem 33

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(a) Newtons Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force F G m1m2 r 2 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. (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 5.98 3 1024 kg and is concentrated at its center. Take the radius of the earth to be 6.37 3 106 m and G 6.67 3 10211 Nm2 ykg2

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