Physics

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

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Given,

Mass of body A and body B = m each

Height H_A = h

Height H_B = 2h

We know, Gravitational potential energy = mgh

Substituting the values we get,

$\text {Ratio of gravitational P.E.} = \dfrac{mgh}{mg2h} \\[0.5em] \Rightarrow \text {Ratio of gravitational P.E.} = \dfrac{1}{2} \\[0.5em]$

Hence, ratio of gravitational potential energies of the two bodies = 1 : 2

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