If we define the gravitational field , where is a unit radial vector, then Gauss's Law for gravity is:

Question

Quizplus · Accepted Answer

Gauss's Law for gravity states that the flux of the gravitational field through any closed surface is proportional to the enclosed mass. Mathematically, this can be expressed as the integral of the gravitational field over the surface being equal to 4πG times the mass enclosed. In terms of divergence, this becomes ∇ ∙ g = -4πGρ, where g is the gravitational field and ρ is the mass density. Using the divergence theorem, this can be written as the integral of the divergence of the gravitational field over the volume being equal to -4πG times the mass enclosed. The divergence of the gravitational field is given by ∇ ∙ g = 4πGρ, which matches choice C.

If We Define the Gravitational Field , Where Is a Unit