Work A force that causes displacement of an object does “work” on the object Work is equal to force* times displacement [scalar] W = F x d [also W.

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Work A force that causes displacement of an object does “work” on the object Work is equal to force* times displacement [scalar] W = F x d [also W = m x a x d] *If the force is at an angle to the displacement, only the component of force that is parallel (in the same direction as) the displacement W = F x cos(θ) x d

Work Diagrams

Kinetic Energy Kinetic energy depends on velocity (speed) and mass [scalar] KE = ½ m x v2

Work-Energy Theorem Work is equal to the change in total mechanical energy W = ∆KE remember ∆KE = (KEf – KEi) W = ∆GPE remember ∆GPE = (GPEf – GPEi) W = ∆SPE remember ∆SPE = (SPEf – SPEi)

The Units of Work & Energy W = F x d N x m “Newton-meters” the “Joule” J kg x m/sec2 x m kg x m2/sec2 KE = ½ m x v2 kg x (m/sec)2 kg x m2/sec2 GPE = m x g x h kg x m/sec2 x m kg x m2/sec2

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