Energy — Question 4

Given:
Mass of first body = Mass of second body = m
Height of first body = h
Height of second body = 2h
g is same for both the bodies.

We know Gravitational potential energy = mgh

Gravitation potential energy of first body (U₁) = mgh
Gravitation potential energy of second body (U₂)= mg2h = 2mgh

On comparing both gravitational potential energy:

$\dfrac{\text{U}_1}{\text{U}_2} = \dfrac{\text{mgh}}{\text{2mgh}} = \dfrac{\text{1}}{\text{2}}$

So, gravitational potential energy of first body : gravitational potential energy of second body = 1 : 2.