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Define potential energy and derive its relation?

Difficulty: Easy

Potential Energy:

           The energy possessed by a body due to its position is known as its potential energy.

 

Derivation of P.E:

           Let a body of mass m be raised through height h from the ground. The body will acquire potential energy equal to the work done in lifting it to height h.

Thus, Potential energy  P.E. =$F\times h$
                                               = $w\times h$

(Here weight of the body = w = mg)

 P.E.= w h= mgh………(i)

 Thus, the potential energy possessed by the body concerning the ground is much and is equal to the work done in lifting it to height h.

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