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Obtain the relation between potential energy and force for conservative force .

Answer» <html><body><p></p>Solution :Suppose that a body undergoes displacement `Deltax` under the action of a conservative force F . <br/> ` :. ` Work done by this force , <br/> `W = F Delta`<br/> but <a href="https://interviewquestions.tuteehub.com/tag/according-366619" style="font-weight:bold;" target="_blank" title="Click to know more about ACCORDING">ACCORDING</a> to work <a href="https://interviewquestions.tuteehub.com/tag/energy-15288" style="font-weight:bold;" target="_blank" title="Click to know more about ENERGY">ENERGY</a> <a href="https://interviewquestions.tuteehub.com/tag/theorem-706777" style="font-weight:bold;" target="_blank" title="Click to know more about THEOREM">THEOREM</a> ,<br/> `W = DeltaK ` <br/> ` :. DeltaK = F Deltax`<br/> Now from the law of <a href="https://interviewquestions.tuteehub.com/tag/conservation-929810" style="font-weight:bold;" target="_blank" title="Click to know more about CONSERVATION">CONSERVATION</a> of mechanical energy .<br/> `DeltaK + DeltaV = 0 ` <br/> ` :. F DeltaX + DeltaV = 0 ` <br/> ` :. F Deltax + DeltaV = 0 ` <br/> ` :. F = DeltaV ` <br/> `Deltax`<br/> <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a> , in the case of conservative force , force will be obtained by taking negative derivative of potential energy w.r.t to displacement .</body></html>


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