# Energy - 2D Particle Kinetics Energy equation(I Work-energy theorem(W-K equation and kinetic energy 1 12 K1 W1 2 = K 2 m12 W1 2 = m2 2 2 12 Kinetic

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2D Particle Kinetics – Energy equation (I) Work-energy theorem (W-K equation) and kinetic energy: 22 11 2 2 1 1 2 KW K m W m 2 υ −− += 0.6 m 0.9 m Kinetic energy: 2 1 0 2 Km =≥ associated with motion. Unit: J Motion of the body is from position 1 to position 2 W 1-2 is the total work by all forces on the body for the entire motion from 1 to 2. (II) Conservative force and potential energy (1) A conservative force, F c , is a force producing work that is independent of the body’s path of motion. (2) Any conservative force has a corresponding potential energy ( U ), and vice versa: c F U (3) Definition of potential energy: Fc UW Δ =− (4) Potential energy is associated with position of the body. (5) Gravitational potential energy: U g = mgy where y is the vertical position of the body measured from an arbitrary reference with + y axis upward. (6) Elastic potential energy: 2 1 2 e Uk x = where x = l l 0 is the deformation in spring.

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## This note was uploaded on 03/04/2009 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.

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Energy - 2D Particle Kinetics Energy equation(I Work-energy theorem(W-K equation and kinetic energy 1 12 K1 W1 2 = K 2 m12 W1 2 = m2 2 2 12 Kinetic

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