Since Newtons law of gravity and Coulombs law have the same inverse-square dependence on distance, an expression analogous in form to Gausss law can be found for gravity. The gravitational field g is the force per unit mass on a test mass m0. Then for a point mass m at the origin, the gravitational field g at some position r is Compute the flux of the gravitational field through a spherical surface of radius r centered at the origin, and show that the gravitational analog of Gausss law is fnet = 4pGminside.
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