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Obtain the relation between potential energy and force for conservative force . |
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Answer» Solution :Suppose that a body undergoes displacement `Deltax` under the action of a conservative force F . ` :. ` Work done by this force , `W = F Delta` but ACCORDING to work ENERGY THEOREM , `W = DeltaK ` ` :. DeltaK = F Deltax` Now from the law of CONSERVATION of mechanical energy . `DeltaK + DeltaV = 0 ` ` :. F DeltaX + DeltaV = 0 ` ` :. F Deltax + DeltaV = 0 ` ` :. F = DeltaV ` `Deltax` HENCE , in the case of conservative force , force will be obtained by taking negative derivative of potential energy w.r.t to displacement . |
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