Question

Prove formula of potential energy

Answer 1

$\Huge{\underline{\underline{\mathfrak{Answer \colon }}}}$

Potential Energy

• Energy possessed by a particle with the virtue of its position and orientation

• In a gravitational field or electrostatic field

• Measured in Joules

Now,

Consider a stone of mass m dropped from a height h with an acceleration equal to g

We Know that,

$\huge{ \boxed{ \boxed{ \sf{W = Fs}}}}$

The only force acting on the object is its weight,which pulls it towards the earth

(Neglect Air Resistance)

$\leadsto \: \sf{PE = (mg)s}$

The displacement is equal to the height from which the stone is dropped

$\large{ \leadsto \: \underline{ \boxed{{ \green{\sf{PE = mgh}}}}}}$