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What is conservative force ? State how it is determioned from potential energy ? |
Answer» SOLUTION :(i) A force is said to be a CONSERVATIVE force if the work done by or against the force in moving the body depends only on the initial and final positions of the body and not on the nature of the path followed between the initial and final positions. (ii) Consider an object at POINT A on the earth. It can be taken to another point B at a height h above the surface of the Earth by three paths as shown in Figure. (iii) Whatever may be the path, the work done against the gravitational force is the same as long as the initial and final positions are the same. (iv) This is the reason why gravitational force is a conservative force. (v) Conservative force is equal to the negative gradient of the potential energy. In ONE DIMENSIONAL case, `F_(x)=-(dU)/(dx)` |
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