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HW-Ch13 - HW-CH13 9th Edition CH13 Problems 28 59 61 71 80...

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HW-CH13 9th Edition CH13 Problems: 28, 59, 61, 71, 80 8th Edition CH13 Problems: 26, 59, 63, 90, 99 28. Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (Fig. 13-8). Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let F R be the magnitude of the gravitational force on the apple when it is located at the planet°s surface. How far from the surface is there a point where the magnitude of the gravitational force on the apple is 1 2 F R if we move the apple (a) away from the planet and (b) into the tunnel? 59. Three identical stars of mass M form an equi- lateral triangle that rotates around the trian- gle°s center as the stars move in a common circle about that center. The triangle has edge length L. What is the speed of the stars? 61. (a) At what height above Earth°s surface is the energy required to lift a satellite to that height equal to the kinetic energy required for the satel- lite to be in orbit at that height? (b) For greater
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