Fasten one end of a vertical spring to a ceiling, attach a cabbage to the other end, and then slowly lower the cabbage until the upward force on it from the spring balances the gravitational force on it. Show that the loss of gravitational potential energy of the cabbage–Earth system equals twice the gain in the spring’s potential energy.

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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Fasten one end of a vertical spring to a ceiling, attach a cabbage
to the other end, and then slowly lower the cabbage until the
upward force on it from the spring balances the gravitational force
on it. Show that the loss of gravitational potential energy of the
cabbage–Earth system equals twice the gain in the spring’s potential
energy.

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