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what is the derivation for the formula of potential energy???????????

Hi Deepti!
 
Please refer to the answer given by Sangam to derive potenntial energy in this situation.
Good work Sangam!! Keep it up!!
 
Cheers!!

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Potential energy of an object of mass m kept at a height h is mgh

The work done to lift this object against gravity to take it to a height h is  converted as Potential energy of this object.

Therefore,

work done = Force*distance
= Mass*acceleration*distance
= m*g*h
= mgh

therefore, Potential energy = mgh

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