Given data:
* the displacement of the box in the horizontal direction is 5 m.
* The force applied on the box at an angle of 45 degree is 20 N.
Solution:
The representation of the given system is,
The work done by the force during the displacement is,
[tex]\begin{gathered} W=F\cdot d \\ W=Fd\cos (45^{\circ}) \end{gathered}[/tex]Substituting the known values,
[tex]\begin{gathered} W=20\times5\times\cos (45^{\circ}) \\ W=70.71\text{ J} \end{gathered}[/tex]Thus, the work done on the box by the force F during the given displacement is 70.71 J.