lecture14 - Work don by a varying force b a b a dx x F dW W...

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Unformatted text preview: Work don by a varying force b a b a dx x F dW W ) ( F x a b 3D (Work on curved trajectories): b a r d z y x F W ) , , ( r d z y x F dW ) , , ( x x F W W x x lim lim Fdx dW x a b x F d l=dr 1D: Geometrical interpretation: Work kinetic energy principle (theorem) 2 2 2 2 mv d v d m v d v m dt r d v md r d dt v d m r d F dW definition Newton’s law definition dK mv d dW 2 2 K K K mv mv W 1 2 2 1 2 2 2 2 2 2 mv K Definition: ( kinetic energy) h A B Example: Car going down a hill. a) How much work is done by gravity on a car which coasts down a hill of height h ? b) What is speed at the bottom? What is the shape of the hill? We don’t need it. Because the force is constant we can take it outside of the integral: Δ r d y x r y B A y x B A mgh mgdr j dr i dr j mg r d g m W ˆ ˆ...
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lecture14 - Work don by a varying force b a b a dx x F dW W...

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