Question

The acceleration due to gravity g’ at height h from the surface of earth of radius R is given by:

g’ = gR2

/(R+h)2

,

where g is the acceleration due to gravity on the earth’s surface. Find the value of g’ using the binomial theorem,

when h<<R.​

Answer 1

The value of acceleration due to gravity (g) at height h above the surface of earth is given by g′=(R+h)2gR2. If h<<R, then prove that g′=g(1−R2h).