Question

derive an expression for potential energy when object of mass m is taken to height h

Answer 1

Consider a body of mass m on the earth's surface. let the body be lifted to height h the work done in lifting, it is stored as potential energy in the body. In order to lift the body, a force is equal to its weight is required.

W=FS cos tita

here tita is 0

F=W=mg

W=mgh

this work done is stored as PE

PE= mgh