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