Work and Energy Chapter 5 Mrs. Schwartz.

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Presentation transcript:

Work and Energy Chapter 5 Mrs. Schwartz

What is work?

Work Work is done on an object when a FORCE causes a displacement on an object. W = Fd

Work Work is only done when components of a force are parallel to the objects displacement.

W = Fd(cos θ) Work with an angle If there is a force in a direction that makes an angle, θ, with the direction of the displacement, then W = Fd(cos θ) θ is the angle between the directions of the force and the displacement.

Work If θ = 0 (parallel) then Cos0 = 1 Work is done! If θ = 90 (parallel) then Cos90 = 0 No Work done! Work is only done when components of a force are parallel to the objects displacement.

Example How much work is done on a vacuum cleaner pulled 3.0m by a force of 50.0N at an angle of 30.0o above the horizontal?

Work Force in direction of motion speed increases positive work. Force opposes motionspeed decreases negative work Force is 90º to motion no work done Object is not in motion no work done

Kinetic Energy Kinetic Energy is the energy of an object in motion. K.E. = ½ mv2 This formula is derived from a motion formula and the work formula. Kinetic energy depends on an object’s mass and velocity.

Work-Kinetic Energy Theorem The net work done on an object is equal to the change in the kinetic energy of the object. Wnet = ΔK.E. = ½ mvf2 - ½ mvi2 = Fnetd