Question

A body weighs 63N on the surface of the earth . What is the gravitational force on it due to the earth at height of 3200km from the earth surface ?Radius of the earth is6400

Answer 1

Weight of the body,W=63 N

Acceleration due to gravity at height h from the Earths surface is given by the relation:

g ′ = (1+ R e ​ h ​ ) 2 g ​

Substituting h=R e ​ /2, g ′ =4g/9

Weight of body of mass m at height h is given as: W ′ =mg ′

=4/9 mg

=4/9×63=28 N