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

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

Class 10 | ICSE | Physics | Selina | Work Energy

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

Solutions:

According to the question,

Height H₁ is h

Height H₂ is 2h

Mass of body 1 is m

Mass of body 2 is m

So, using the expression for the potential energy we have –

Gravitational potential energy of body 1 = mgH₁ = mgh

Similarly, Gravitational potential energy of body 2 = mgH₂ = mg(2h)

Ratio of gravitational potential energies is given as –

mgh / mg(2h) = mgh / 2mgh

= 1 / 2 = 1: 2

i

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