Question

derive the formula of potential energy

Answer 1

a=+g
S=h
W=F.S
W=ma.s
W=mg.h
W=U
U=mg.h
U is denoted for potential energy

Answer 2

Explanation:

Potential energy is possessed by an object by virtue of its motion. Let the mass of the body is m and it is raised to a height of h meters above the ground. It will do  some work. We know that work done is given in terms of force and displacement.

In this case distance of the body is h such that work done is given by :

$W=F\times h\ ......(1)$

As the body is moving upwards under the action of gravity. The force acting on the object is force of gravity i.e. F = mg

Equation (1) becomes :

$W=mg\times h$

We know that, work done is stored in the form of energy. So,

$E=mgh$

Hence, proved.

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