(a) Show that, by setting r 5 R 1 y in the right-hand
Chapter 13, Problem 13.92(choose chapter or problem)
(a) Show that, by setting r = R + y in the right-hand member of Eq. (13.179) and expanding that member in a power series in y/R, the expression in Eq. (13.16) for the potential energy \(V_{g}\) due to gravity is a first-order approximation for the expression given in Eq. (13.179). (b) Using the same expansion, derive a second-order approximation for \(V_{g}\).
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