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.