Question

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is ______.

Options

• 16 N

• 27 N

• 32 N

• 36 N

Answer 1

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is 27 N.

Explanation:

Acceleration due to gravity at a height h 

So, `g' = g(R/(R + h))^2`

`mg' = mg(R/(R + h))^2`

= `48(R/(R + R/3))^2`

= `48 xx 9/16`

= `432/16`

= 27 N