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.

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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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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