Lecture 12 Kinetic energy Momentum and Kinetic energy Major concept Fdt p Work Done by a Constant force one dimensional motion The total work done is equal to the area bonded by the graph of the function F x between x and x Power the rate of doing work Scalar product A B C A B A C Goal W F dr 1 0 Work Done by a Constant Force W F s r F cos0 Work done by force along path from A to B Conservative Force If the work done by a force in moving an object from point A to point B is independent of the path 1 or 2 then the force is called a conservative force which we denote by F Then the work done only depends on the location of the point A and B Nonconservative Force Whenever the work done by a force in moving an object from an initial point to a nal point depends on the path then the force is called a non conservative force F and the work done is called non conservative work The work done by a constant force F on an object is equal to the projection of the force in the direction of the displacement s times the magnitude of the displacement
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