Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (see figure below). 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. Mins (a) How far from the surface is there a point where the magnitude is if we move the apple away from the planet? (State your answer as a multiple of R.) X R (b) How far from the surface is there a point where the magnitude is FR if we move the apple into the tunnel? (State your answer as a multiple of R.)

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Chapter1: Units, Trigonometry. And Vectors
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Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (see figure below). 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.
Mins
m.
(a) How far from the surface is there a point where the magnitude is FR if we move the apple away from the planet? (State your answer as a multiple of R.)
X R
FR if we move the apple into the tunnel? (State your answer as a multiple of R.)
(b) How far from the surface is there a point where the magnitude is
X R
Transcribed Image Text:Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center (see figure below). 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. Mins m. (a) How far from the surface is there a point where the magnitude is FR if we move the apple away from the planet? (State your answer as a multiple of R.) X R FR if we move the apple into the tunnel? (State your answer as a multiple of R.) (b) How far from the surface is there a point where the magnitude is X R
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