Chapter 7 Notes

# Chapter 7 Notes - -The kinetic energy represents the...

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Chapter 7: Work and Energy Work - Force times distance - Work done is the force exerted over a distance - W = F * dx - W = F * s * cos theta - W = F * s (dot product) Work For a Variable Force - Many forces are not constant - Therefore W = Integral from a to b, of F(x) dx - W = Integral of F (with dot product’ed) with ds o Determine the total work done by a variable force as it acts over some distance  in one dimension Kinetic Energy   - ½ mv 2  is the amount of work stored in the particle (or kinetic energy of the particle) - K = ½ mv 2   - K – K 1  = W - Delta K = W (Work-Energy Theorem) - When the particle does work, its kinetic energy decreases. The total amount of work the  particle can deliver to the obstacle is equal to its kinetic energy.

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Unformatted text preview: -The kinetic energy represents the capacity of a particle to do work by virtue of its speed-Look at Examples Gravitational Potential Energy-Gravitational potential energy represents the capacity of the particle to do work by virtue of its height above the surface of the Earth. -When we lift a particle to some height above the surface, we have to do work against gravity, and we thereby store work in the particle -W = mgh-K 2 + U 2 = K 1 + U 1 -Problem Solving Techniques for Energy Conservation in Analysis of Motion o Write an expression for the energy at one point of motion o Then write an expression for the energy at another point o Equate the two expressions....
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## This note was uploaded on 04/11/2008 for the course PHYS 142 taught by Professor Kolomeisky during the Spring '08 term at UVA.

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Chapter 7 Notes - -The kinetic energy represents the...

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