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    Gravitation and Binomial Expansion

    Homework Statement Use the binomial expansion (1± x)n = 1± nx + (n(n-1)/2) x2 ±.... to show that the value of g is altered by approximately Δg ≈ -2g(Δr/rE) at a height Δr above the Earth's surface, where rE is the radius of the Earth, as long as Δr<<rE Homework Equations g=GM/r2 The Attempt...