Question

A force of 100 N is applied to a crate at an angle of 60° to the horizontal surface.

Answer 1

Answer:

100 J

Explanation:

Given:

Force acting on the crate is, $F=100\ N$

Displacement of the crate is, $S=2\ m$

Angle between the direction of force and displacement is, $\theta=60\°$

Now, work done by a force 'F' causing a displacement 'S' such that the angle between the force and displacement is $\theta$ is given as:

$Work=F\times S\times \cos\theta$

Now, plug in 100 N for 'F', 2 m for 'S', and 60° for $\theta$. This gives,

$Work=(100\ N)(2\ m)(\cos(60))\\\\Work=(200\times 0.5)\ \textrm{N-m}\\\\Work=100\ J$

Therefore, the work done by the force is 100 J.