Question

derive an expression for potential energy of an object of mass m raised to a height h from the ground

Answer 1

Consider an object of mass, m.Let it be raised thru a height, h frm the ground. A force is required to do this. The minimum force required to raise the object is equal to the weight of the object, mg. The object gains energy equal to the work done on it. Let the work done on the object agianst gravity be W. That is,work done, W = force*displacement                          = mg*h                          =mghSince work done on the object is equak to mgh, an energy equal to mgh units is gained by the object. This is the potential energy (Ep) of the object                    Ep = mgh

Answer 2

Answer:

The potential energy of an object of mass m raised to a height of h is "mgh".

Explanation:

We know that work done by a force on a body is the energy gained by the body.

Now if we consider a object raised to a height h,

the force acting is mg where g is the acceleration due to gravity.

Work done is force times the displacement which will give us mgh.

So the potential energy of the object is "mgh".