Question

You might need: CalculatorA box moves 5 m horizontally when force F 20 N is applied at angle 45 degree to the horizontalWhat is the work done on the box by F during the displacement?Choose 1 answer:

Answer 1

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,

`\begin{gathered} W=F\cdot d \\ W=Fd\cos (45^(\circ)) \end{gathered}`

Substituting the known values,

`\begin{gathered} W=20*5*\cos (45^(\circ)) \\ W=70.71\text{ J} \end{gathered}`

Thus, the work done on the box by the force F during the given displacement is 70.71 J.