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.)
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.)
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 81CP: A tunnel is dug through the center of a perfectly spherical and airless planet fo radius R. Using...
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