The inverse square law of gravitational attraction between two masses m1 and m2 is given by F = −Gm m r / || r ||3 , where r = x i + y j + z k . Show that F is conservative. Find a potential function for F.

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 5.14P
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The inverse square law of gravitational attraction between two masses m1 and m2 is given by F = −Gm m r / || r ||3 , where r = x i + y j + z k . Show that F is conservative. Find a potential function for F.

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