Away from the planet and into the tunnel

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Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. 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 of the gravitational force on the apple is FR/2 if we move the apple (a) away from the planet and (b) into the tunnel? Express you answer in terms of the variables given.

Reference no: EM13536602

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