The gravitational force between two objects of mass m and M, separated by a distance r, has

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The gravitational force between two objects of mass m and M, separated by a distance r, has magnitude GMm/r2, where G = 6.67 × 10−11 m3kg−1s−1.

Show that if two objects of mass M and m are separated by a distance r1, then the work required to increase the aseparation to a distance r2 is equal to W = GMm(r1−1 − r2−1).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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