University Physics Volume 1

Key Equations

Key Equations

 Work done by a force over an infinitesimal displacement $dW=F→·dr→=|F→||dr→|cosθdW=F→·dr→=|F→||dr→|cosθ$ Work done by a force acting along a path from A to B $WAB=∫pathABF→·dr→WAB=∫pathABF→·dr→$ Work done by a constant force of kinetic friction $Wfr=−fk|lAB|Wfr=−fk|lAB|$ Work done going from A to B by Earth’s gravity, near its surface $Wgrav,AB=−mg(yB−yA)Wgrav,AB=−mg(yB−yA)$ Work done going from A to B by one-dimensional spring force $Wspring,AB=−(12k)(xB2−xA2)Wspring,AB=−(12k)(xB2−xA2)$ Kinetic energy of a non-relativistic particle $K=12mv2=p22mK=12mv2=p22m$ Work-energy theorem $Wnet=KB−KAWnet=KB−KA$ Power as rate of doing work $P=dWdtP=dWdt$ Power as the dot product of force and velocity $P=F→·v→P=F→·v→$
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