Question

drive an expression for potential energy of a body

Answer 1

Derive an expression for the potential energy of the body.

Potential Energy
Potential energy is the energy possessed by a body by virtue of its state of rest or deformed state i.e, the energy of an object due to its position or arrangement in a system is called potential energy.

It is further classified into gravitational potential energy (GPE) and elastic potential energy (EPE). GPE is by virtue of height of a body from a reference level. The gravitational potential energy of an object is the work done in raising it from the ground to a certain point against gravity.

It can be expressed as  GPE = mgh (where, m is mass of the body, g is the acceleration due to gravity and h is  the height of the body from the reference level)

Gravitational potential energy, P.E = mgh

If the height, H of a body is considered from the ground, then the gravitational potential energy of the body, P.E = mgH
 
If the height of the body is raised from a  height, h  to the other height, H the gravitational potential energy of the body is  P.E = mg(H-h)