A rocket of mass m is fired vertically from the surface of the earth, i.e., at r = r1

Chapter 14, Problem 14-83

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A rocket of mass m is fired vertically from the surface of the earth, i.e., at \(r = r_{1}\). Assuming that no mass is lost as it travels upward, determine the work it must do against gravity to reach a distance \(r_{2}\). The force of gravity is \(F = GM_{e}m/r^{2}\) (Eq. 13–1), where \(M_{e}\) is the mass of the earth and r the distance between the rocket and the center of the earth.

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