Concept explainers
(III) (a) Use the binomial expansion
to show that the value of g is altered by approximately
at a height Δr above the Earth’s surface, where rE is the radius of the Earth, as long as Δr << rE. (b) What is the meaning of the minus sign in this relation? (c) Use this result to compute the effective value of g at 125 km above the Earth’s surface. Compare to a direct use of Eq. 6–1.
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