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**1. Homework Statement**

I am told that the gravitational force of a mass m located inside an isotropic distribution of spherical radius R and total mass M is given by

Fg = -GmM(r)/r^2

where r is the distance between m and the center of distribution and M (r) is the mass contained below the distance r (weight between 0 and r). Suppose the sphere is homogeneous of constant density

ρ= M/((4πR^3)/3)

I need to find the gravitational potential energy inside the distribution as a function of M, m, R, r and G

**2. Homework Equations**

**3. The Attempt at a Solution**

So far I have found the gravitational potential energy, but I don't know how the density is going to come into play. I also don't understand what the isotropic distribution is going to change in my answer and derivation.