Gauss's Law for Gravitation The gravitational force between two point masses separated by a distance r is proportional to l/r2, just like the electric force between two point charges. Because of this similarity between gravitational and electric interactions, there is also a Gauss's law for gravitation.
(a) Let g be the acceleration due to gravity caused by a point mass m at the origin, so that g = - (Gm/r2) r. Consider a spherical Gaussian surface with radius r centered on this point mass, and show that the flux of g through this surface is given by
(b) By following the same logical steps used in Section 22.3 to obtain Gauss's law for the electric field, show that the flux of g through any closed surface is given by where Mencl is the total mass enclosed within the closed surface.

Transcribed Image Text:

di = -47GM -4GMenel