The force due to gravity on an object with mass at a height above the surface of the
Chapter 11, Problem 60(choose chapter or problem)
The force due to gravity on an object with mass at a height above the surface of the earth is where is the radius of the earth and is the acceleration due to gravity. (a) Express as a series in powers of . ; (b) Observe that if we approximate by the first term in the series, we get the expression that is usually used when is much smaller than . Use the Alter nating Series Estimation Theorem to estimate the range of values of for which the approximation is accurate to within one percent. (Use km.)
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