Question

The acceleration due to gravity at height h above the earth if h << R (radius of earth) is given by

(1) \(g'=g(1-\frac{2h}{R})\)

(2) \(g'=g(1-\frac{2h^2}{R^2})\)

(3) \(g'=g(1-\frac{h}{2R})\)

(4) \(g'=g(1-\frac{h^2}{2R^2})\)

Answer 1

(1) \(g'=g(1-\frac{2h}{R})\)

For point outside the surface of earth

r = distance from center of earth