Question

Derive P.E=mgh. Answer Now Please

Answer 1

$\huge\underline \mathfrak \blue{Answer}$

Potential energy is the energy possessed by the body by virtue of its position or configuration.

Consider a body of mass m at a height 'h' from the ground.

The amount of work done to raise this body to this height h against the force of gravity:

W=F×h where F is the force of gravity .

$\Large\boxed{W=mgh}$

I hope it helps u...☺️

Answer 2

Let a particle of mass m is located at a height h from the ground.

force acting on the particle = gravitational force acting on the particle by the earth

= weight of the particle

= mg

now workdone by the particle = Force acting on the particle × displacement covered of particle.

= mg × h [ particle has tendency to displace ‘h’ distance from peak point to ground ]

= mgh

now potential energy of particle = workdone by the particle

= mgh

hence, P.E = mgh [ derived ]