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Lecture 8 - Work and Energy

# Lecture 8 - Work and Energy - ur r r r How Conservation of...

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Conservation of Energy

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2 1 2 1 2 sin 1 2 2 2 2 2 h F mg mg s h a g s v at s at s t a s v a sa a v gh θ = = = = = = = = = P

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Same argument runs in reverse
2 Law of Conservation of Energy Kinetic energy: energy of motion Potential energy: energy of position constant (almost) v h KE PE + =

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Work = Force Distance dW F dr × = ur r
0 Potential energy = s h W F dr F dr mg s s mgh mgh = = = = P ur r

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2 2 1 2 1 Kinetic energy = 2 W F dr ma dr dv dr dr dv dt dt W m v dv mv mv = = = = =

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Unformatted text preview: ur r r r How Conservation of Energy "explains" Galileo 2 2 Initial potential energy = 1 Final kinetic energy = 2 1 2 or, 2 mgh mv v gh v gh = = 2 2 2 2 1. Spring 1 2 Conservation 1 1 1 2 2 2 A F kx W kxdx kA kA mv kx = -= + = = + ∫ 2 2 2. Pendulum Maximum potential energy 1 Kinetic energy 2 1 2 mgh mv mgh mv mgz = = = +...
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