A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of gravity on the rocket s given by GMm F(x) = - x2 where M is the mass of the earth, m is the mass of the rocket, G is a universal constant, and x is the distance (in miles) between the rocket and the center of the earth. Take the radius of the earth to be 4000 miles, so that x > 4000 miles. Find the work, W,, done against gravity when the rocket rises 1600 miles. W = | GMm (mile-pounds) Next, find the limit of the work, W2, as the rocket rises infinitely far from the earth. W2 = GMm (mile-pounds)

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