A rocket is fired vertically from the surface of the moon
Chapter 13, Problem 13.36(choose chapter or problem)
A rocket is fired vertically from the surface of the moon with a speed \(v_{0}\). Derive a formula for the ratio \(h_{n} / h_{u}\) of heights reached with a speed v, if Newton’s law of gravitation is used to calculate \(h_{n}\) and a uniform gravitational field is used to calculate \(h_{u}\). Express your answer in terms of the acceleration of gravity \(g_{m}\) on the surface of the moon, the radius \(R_{m}\) of the moon, and the speeds v and \(v_{0}\).
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