Imagine that a 10-cm-diameter circular hole was drilled all the way through the center of the Earth. 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 you can ignore all friction/Coriolis effects.
Imagine that a 10-cm-diameter circular hole was drilled all the way through the center of the Earth. 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 you can ignore all friction/Coriolis effects.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 7P
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![Imagine that a 10-cm-diameter circular hole was drilled all the way through the center of the Earth. 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 you can ignore all friction/Coriolis effects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facfb296d-c42b-4e28-876a-1baf5375f9c9%2F48da3b34-17ad-44dc-9cc4-504fc62f7009%2Fw853cvp_processed.png&w=3840&q=75)
Transcribed Image Text:Imagine that a 10-cm-diameter circular hole was drilled all the way through the center of the Earth. 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 you can ignore all friction/Coriolis effects.
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