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 planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.5 FR if we move the apple (a) away from the planet and (b) into the tunnel? (a) Number: Units: (b) Number: Units:

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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 Fp be the magnitude of the gravitational
force on the apple when it is located at the planet's surface. How far from the
surface (what multiple of R) is there a point where the magnitude of the
gravitational force on the apple is 0.5 FR if we move the apple (a) away from the
planet and (b) into the tunnel?
(a) Number:
Units:
(b) Number:
Units:
Transcribed Image Text: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 Fp be the magnitude of the gravitational force on the apple when it is located at the planet's surface. How far from the surface (what multiple of R) is there a point where the magnitude of the gravitational force on the apple is 0.5 FR if we move the apple (a) away from the planet and (b) into the tunnel? (a) Number: Units: (b) Number: Units:
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