Question

Hello there! Can you please help me with this question below?

A body weight 63 N at the surface of the earth. At a height "h" above the surface of the earth, it's weight is 28 N while at a depth "d" below the surface of earth, it's weight is 31.5 N. What's the value of "h"?​

Answer 1

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.