Question

derivation of G. P. E​

Answer 1

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Here's Your Answer:

Potential energy of an object at height (or) Gravitational Potential Energy (G.P.E)

• An object increses its energy when it is raised through a height. This is because of the work done on the object against gravity acting on it. The energy of such an object is known as Gravitational Potential Energy (G.P.E).

Derivation :-

→Consider an object of mass 'm' raised to a height 'h' from the ground.

→ The minimum force required to raise the object is equal to the weight of the body (mg).

→ The object gains energy equal to the work done on it. Let the work done on the object against gravity be 'W'.

That is Work done,

W = force × displacement.

W = mg × h

W = mgh.

Since, the work done on the object is equal to ‘mgh’ an energy equal to ‘mgh’ units is gained by the object.

Therefore, Potential Energy (P.E) = mgh.

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