If the mass of the earth is M e , show that the gravitational potential energy of

Question:

If the mass of the earth is M_e, show that the gravitational
potential energy of a body of mass m located a distance r
from the center of the earth is V_g = -GM_em/r. Recall that
the gravitational force acting between the earth and the
body is F= G(M_em/r²), Eq. 13-1. For the calculation, locate
the datum at r→∞. Also, prove that F is a conservative
force.