ConsofEnergy - Physics 201 UW-Madison 1 Physics 201 Lecture...

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Unformatted text preview: 3/27/08 Physics 201, UW-Madison 1 Physics 201: Lecture 12 Physics 201: Lecture 12 More on Energy Conservation of energy 3/27/08 Physics 201, UW-Madison 2 Question Question A force is conservative if.... the work done by the force on an object is free enterprise the work done by the force on an object is independent of the starting and end points the work done by the force on an object is independent of the path the work done by the force in moving an object through an arbitrary closed path is positive. Depends only on Δ y, not on path taken ! m m g Δ y j j W NET = W 1 + W 2 + . . .+ W n Δ r 1 Δ r 2 Δ r 3 Δ r n W g = - mg Δ y = ! F i ! ! r 1 + ! F i ! ! r 2 + ..... + ! F i ! ! r N = ! F i ! ! r 1 + ! ! r 2 + ... + ! ! r N ( ) = ! F i ! ! r tot = F ! 3/27/08 Physics 201, UW-Madison 2 Question Question A force is conservative if.... the work done by the force on an object is free enterprise the work done by the force on an object is independent of the starting and end points the work done by the force on an object is independent of the path the work done by the force in moving an object through an arbitrary closed path is positive. Depends only on Δ y, not on path taken ! m m g Δ y j j W NET = W 1 + W 2 + . . .+ W n Δ r 1 Δ r 2 Δ r 3 Δ r n W g = - mg Δ y = ! F i ! ! r 1 + ! F i ! ! r 2 + ..... + ! F i ! ! r N = ! F i ! ! r 1 + ! ! r 2 + ... + ! ! r N ( ) = ! F i ! ! r tot = F ! y 3/27/08 Physics 201, UW-Madison 3 Conservation of Energy Conservation of Energy If only conservative forces are present, the total kinetic plus If only conservative forces are present, the total kinetic plus potential energy of a system potential energy of a system is conserved is conserved i.e. the total i.e. the total “mechanical energy mechanical energy ” is conserved. is conserved. !...
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ConsofEnergy - Physics 201 UW-Madison 1 Physics 201 Lecture...

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