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Chapter 8a

# Chapter 8a - Chapter 8 Potential Energy and Conservation of...

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Chapter 8 Potential Energy and Conservation of Energy (part 1)

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RECAP Work done by a force Work done by a constant force. Work done by the gravitational force Work done by a spring force (x i =0). Kinetic Energy Kinetic energy theorem W = r F . d r r i f " W = r F . r d W = mgd cos " W = " 1 2 kx f 2 " K = W total K = 1 2 m " 2
Conservative Force A force is conservative if the work done by the force over any closed loop (path) is zero. r F d r r W = 0 W = r F . d r r = 0 any loop "

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Examples Conservative forces: Gravitational force Elastic force Non-conservative forces: Frictional force Drag force y i y f X i X f r " ,v i v f
Work by a Conservative Force The work done by a conservative force is path independent ! W depends only on the location of the initial and the final points . W does not depend on the actual path. path A path B return W loop = 0 W A + W return = 0 W B + W return = 0 W A = W B

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Example problem A 2 kg ball is rolling on a vertical frictionless track from point A to point B . It travels a total
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