Chapter_8

# Chapter_8 - Ch 8 Potential Energy and Conservative Forces...

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Ch 8: Potential Energy and Conservative Forces Focus: Mechanical energy E: two types, kinetic K and potential U Potential energy: stored energy in system, e.g., compressed spring, raised mass Potential energy U is the work that I do to configure the system. Example: Gravity– How much work do I do to raise a mass M , a distance y ? M g F ME = + M g W ME (y) = M g y U g (y) = M g y Gravitational Potential Energy Memorize this! y M 0 F ME

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Ch 8: Potential Energy and Conservative Forces Example: Spring– How much work do I do to compress or expand a spring a distance x? F ME = + k x F S = - k x F ME = + k x x 0 k x W ME (x) = Area under F ME vs x curve 2 2 1 ) ( x k x W ME = Memorize this! 2 2 1 ) ( x k x U spring = Potential Energy stored in a Spring M x 0 = equilibrium position F ME
Ch 8: Potential Energy and Conservative Forces Conservative and Nonconservative Forces 2 2 1 ) ( x k x U spring = If the work is path independent , the force is conservative, has potential U . Example:

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Chapter_8 - Ch 8 Potential Energy and Conservative Forces...

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