Question

Two bodies of equal masses are placed at heights h and 2h. Find the ratio of their gravitational potential energies.....
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Answer 1

Answer:

physics

Explanation:

solution is in the pic

i hope it helps you

Answer 2

Answer:

1 : 2

Explanation:

Given :-

Two bodies of equal masses are placed at a height h and 2h.

So,

$\sf{}Height\ of\ the\ first\ body,h_1 =h$

$\sf{}Height\ of\ the\ second\ body,h_2 =2h$

$\sf{}Mass\ of\ the\ first\ body,m_1 =m$

$\sf{}Mass\ of\ the\ second\ body,m_2=m$

To Find :-

The ratio of their gravitational potential energies.

Formula :-

$\sf{}U=mgh\ where\ m\ is\ the\ object,g\ is\ the\ acceleration\ due\ to\ gravity.$

Solution :-

$\sf{}Gravitational\ potential\ energy\ of\ the\ first\ body:U_1= mgh$

$\sf{}Gravitational\ potential\ energy\ of\ the\ second\ body:U_2=mg(2h)$

Therefore,ratio of gravitational potential energies :-

$\implies \sf{}\dfrac{mgh}{mg(2h)}$

$\implies \sf{}\dfrac{mgh}{2mgh}$

Cancel m,g,h of both numerator and denominator.

$\implies \sf{} 1/2$

$\therefore \sf{}1:2$

☆Know more☆

• Potential energy is a form of energy by the temperance of the shape or position of the body.
• The SI unit of gravitational potential is J/Kg.
• Gravitational potential energy is maximum at the ground level/surface of earth.
• At infinity the value of gravitational potential energy is zero.