Question

a box is pulled across a floor by applying a force of 36N at an angle of 45° above the horizontal. How much work is done by applying force in pulling the box to a distance of 30m?​

Answer 1

Given

F = Force applied = 36 N

$\theta$ = Angle at which force is applied = $45^{\circ}$

s = Displacement of the box = 30 m

To find

Work done in pulling the box by 30 m.

Solution

Work done is given by

$W=F\cdot s\cos\theta$

$\Rightarrow W=(36\ \text{Newtons})\times (30\ \text{meters})\times \cos45^{\circ}$

$\Rightarrow W=763.68\ \text{Joules}$

Work done by applying the force on the box is $763.68\ \text{Joules}$.