Question

Compare the weight of a body when it is
(i) 200km above the surface of the Earth and

(ii) 200km below the surface of the earth.

A radius of the Earth is $6400$km

Answer 1

(i) $g^{\prime }=g(1-\frac{2h}{R})=g(1-\frac{2\times 200}{6400})=\frac{15g}{16}$
(ii) $g^{\prime }=g(1-\frac{h}{R})=g(1-\frac{200}{6400})\frac{31g}{32}$