Question

A boy pulls a wagon a distance of 1.2 km. An applied force of 22N is directed at an angle of 25 degrees above the horizontal. How much work is done?

Answer 1

Answer: 23.92 kJ

Step-by-step explanation:

Given

Distance moved by wagon is $d=1.2\ km$

Force $F=22\ N$ directed at an angle of $25^{\circ}$ above the horizontal

Only the horizontal component of the force that is, $22\cos 25^{\circ}$the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

$W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ$

thus, 23.92 kJ of work is done on the wagon.