Derive the Potential energy formula of an object which is at a height(h) above the
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When an object is raised through a height its Potential energy is raised. Since work is done against gravity to raise its height, its energy is also called Gravitational Potential Energy.
Let the mass of the object = m
The height to which it is raised = h
Minimum Force required to lift the object is same as the weight of object or mg.
So, Work done(W) in lifting object
W = Force × Displacement
(Here displacement is height to which the object is raised)
Therefore, W = mg x h
Thus, Gravitational potential energy (Ep) of the object is : Ep = mgh
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