Imagine that a 10-cm-diameter circular hole were drilled all the way through the center of the Earth (Fig. 12-46). At one end of the hole, you drop an apple into the hole. Show that, if you assume that the Earth has aconstant density, the subsequent motion of the apple is simple harmonic. How long will the apple take to return? Assume that we can ignore all fric-tional effects.
Imagine that a 10-cm-diameter circular hole were drilled all the way through the center of the Earth (Fig. 12-46). At one end of the hole, you drop an apple into the hole. Show that, if you assume that the Earth has aconstant density, the subsequent motion of the apple is simple harmonic. How long will the apple take to return? Assume that we can ignore all fric-tional effects.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.15P
Related questions
Question
Imagine that a 10-cm-diameter circular hole were drilled all the way through the center of the Earth (Fig. 12-46). At one end of the hole, you drop an apple into the hole. Show that, if you assume that the Earth has a
constant density, the subsequent motion of the apple is simple harmonic. How long will the apple take to return? Assume that we can ignore all fric-
tional effects.
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