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Derive the formula for potential energy.
Potential Energy: Energy of a body or object caused by its position is known Potential Energy. It is also called Mechanical Energy or Fixed energy. It is denoted by $P.E.$ or $P$. In S.I. its unit is Joule.
Derivation of the Potential Energy formula:
Let In the given figure, the body of mass $m$ is placed on the height of $h$.
Then the work done to place the body on the height $h$,
$W=F\times h$
Here $F$ is the gravitational force applied against the gravity and $F=mg$
Therefore, Work done to place the body form the ground to the height $h$
$=mgh$
And the work done locate the body to the height $h$ is the Potential Energy or Stored enrgy.
Thus, Potential Energy $\boxed{P.E.=mgh}$
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