Answer:
100 J
Explanation:
Given:
Force acting on the crate is, [tex]F=100\ N[/tex]
Displacement of the crate is, [tex]S=2\ m[/tex]
Angle between the direction of force and displacement is, [tex]\theta=60\°[/tex]
Now, work done by a force 'F' causing a displacement 'S' such that the angle between the force and displacement is [tex]\theta[/tex] is given as:
[tex]Work=F\times S\times \cos\theta[/tex]
Now, plug in 100 N for 'F', 2 m for 'S', and 60° for [tex]\theta[/tex]. This gives,
[tex]Work=(100\ N)(2\ m)(\cos(60))\\\\Work=(200\times 0.5)\ \textrm{N-m}\\\\Work=100\ J[/tex]
Therefore, the work done by the force is 100 J.
