Question

Two bodies of equal masses are placed at heights h and 2h. Find the ratio of their gravitational potential energies.

Answer 1

Height H₁ = h

Height H₂ = 2h

Mass of body 1 = m

Mass of body 2 = m

Gravitational potential energy of body 1 = mgH₁ = mgh

Gravitational potential energy of Body 2 = mgH₂ = mg(2h)

Ratio of gravitational potential energies

`=(mgh_1)/(mgh_2)=(mgh)/(mg2h)=1/2=1:2`