Question

George is pulling Cameron on a toboggan and is exerting a force of 40N acting at an angle of ${60}^{\circ }$ to the ground. If Cameron is pulled by a distance of 100 m horizontally, then the work done by George is __ J

Answer 1

See carefully. George is applying 40N at an angle of ${60}^{\circ }$ to the horizontal direction. This horizontal direction is the same direction in which we are measuring our displacement. So the angle between force and displacement is ${60}^{\circ }$

$Soworkdone=\overrightarrow{F}.\overrightarrow{d}=\left|\overrightarrow{F}\right|\left|\overrightarrow{d}\right|cos\theta =40\times 100\times cos60J=4000\times \left(\frac{1}{2}\right)J=2000J$