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State and prove work-energy theorem. What are conservative forces ? Show that for a conservative force 3. (a) §r • dr = 0, (b) curl F = 0, (c) F = - VV Further show that in a conservative force field, the sum of kinetic and potential energies of a particle remains constant.

State and prove work-energy theorem. What are conservative forces ? Show that for a conservative force 3. (a) §r • dr = 0, (b) curl F = 0, (c) F = - VV Further show that in a conservative force field, the sum of kinetic and potential energies of a particle remains constant.

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State and prove work-energy theorem. What are conservative forces ? Show that for a conservative force 3. (a) §r•dr = 0, (b) curl F = 0, (c) F = - VV Further show that in a conservative force field, the sum of kinetic and potential energies of a particle remains constant.
Transcribed Image Text:State and prove work-energy theorem. What are conservative forces ? Show that for a conservative force 3. (a) §r•dr = 0, (b) curl F = 0, (c) F = - VV Further show that in a conservative force field, the sum of kinetic and potential energies of a particle remains constant.
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