1.

Derive an expression for the potential energy of a body.

Answer»

Let there be an object of mass, m kept at (or raised through) a height, h above the ground. Now, the minimum force acting on the object at a height, h above the ground is equal to the weight, w of the object.
∵ W = mg …(i)
Now, work done on the object to raise it (or keep it) at a height, h above the ground is equal to the potential energy (P.E.) of the object.
∵ Work done = Force × Displacement
= mg × h [Using Equation (i)]
= mgh
∵ P.E. (or Ep) = mgh


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