Because the formulas for Coulomb's law and Newton's law of gravity have the sameinverse-square law dependence on distance, a formula analogous to the formula forGauss's law can be found for gravity. The gravitational ficld g at a location is the forceper unit mass on a test mass mo placed at that location. (Then, for a point mass mat the origin, the gravitational ficld g at some position 7 is g = - (GNm/r2)î.)(a) Compute the flux of the gravitational field through a spherical surface of radiusr, and verify that the gravitational analog of Gauss's law isdÃ= -4nGNMencl-6.(b) What do you think is the differential form of Gauss's law for gravitation?(c) Determine the gravitational ficld, g, a distance r from the center of the Earth(where r < Rp, where Rp is the radius of the Earth), assuming that the Earth'sdensity is uniform. Express your answer in terms of GN, the mass of the Earth,МЕ, and Rp.

Given, For a point mass 'm' at the origin, the gravitational field 'g' at some position r→ is given…

Answered: Because the formulas for Coulomb's law…

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