If the mass of the earth is Me, show that the gravitational potential energy of a body
Chapter 14, Problem 14-82(choose chapter or problem)
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 \(V_{g} = -GM_{e}m/r\). Recall that the gravitational force acting between the earth and the body is \(F = G(M_{e}m/r^{2})\), Eq. 13–1. For the calculation, locate the datum at \(r \rightarrow \infty\). Also, prove that F is a conservative force.
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