# A body weighs 63N on the surface of the earth. What is the gravitational force (in N) on it due to the earth at a height equal to half the radius of the earth ?

#### Weight of the body,W=63 N

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

g′=g(1+hRe)2

Substituting h=Re/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