Question

A body weights 63n on eath what is gravition frove on its earth . mass of earth is 6 × 10:24kh

Answer 1

Question: A body weights 63N on the surface of the earth. what is the gravitational force on it due to the earth at a height equal to half the radius of the earth ? 

Answer⏬⏬⏬⏬⏬⏬

Weight of the body, W = 63 N

Acceleration due to gravity at height h from the Earth’s surface is given by the relation:
g‘ = g / [1 + ( h / Re) ]^2

Where,
g = Acceleration due to gravity on the Earth’s surface

Re = Radius of the Earth
For h = Re / 2
g‘ = g / [(1 + (Re / 2Re) ]^2
= g / [1 + (1/2) ]^2  =  (4/9)g

Weight of a body of mass m at height h is given as:
W‘ = mg
= m × (4/9)g  =  (4/9)mg
= (4/9)W
= (4/9) × 63  =  28 N.