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 tunnelor outside the sphere. Let FR be the magnitude of the gravitational force on the apple when it is located at the planet's surface.Minsm.(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 RFR 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 isX R

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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 (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.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

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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

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