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 is 1//3F_R if we move the apple (a) away from the planet and (b) into the tunnel?

Assume a planet is a uniform sphere of radius R that (somehow) has a n

1.	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 is 1//3F_R if we move the apple (a) away from the planet and (b) into the tunnel?
Answer» SOLUTION :(a) `R = Rsqrt3,` (B) r = R/3

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