Falling Body In 23, suppose r R s, where s is the distance

Chapter 1, Problem 1.1.146

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Falling Body In 23, suppose r R s, where s is the distance from the surface of the Earth to the falling body. What does the differential equation obtained in become when s is very small in comparison to R? [Hint: Think binomial series for (R s) 2 R2 (1 sR) 2 .]

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