An object is released from rest at an altitude h above the
Chapter 13, Problem 34(choose chapter or problem)
An object is released from rest at an altitude h above the surface of the Earth. (a) Show that its speed at a distance r from the Earths center, where RE # r # RE 1 h, is v 5 2GME a 1 r 2 1 RE 1 h b (b) Assume the release altitude is 500 km. Perform the integral Dt 5 3 f i dt 5 2 3 f i dr v to find the time of fall as the object moves from the release point to the Earths surface. The negative sign appears because the object is moving opposite to the radial direction, so its speed is v 5 2dr/dt. Perform the integral numerically.
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