Assume a planet is a uniform sphere of radius R that

Chapter , Problem 28

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Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (Fig. 13-7). Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let FR be the magnitude of the gravitational force on the apple when it is located at the planets surface. How far from the surface is there a point where the magnitude is FR if we move the apple (a) away from the planet and (b) into the tunnel?

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