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:

Respuesta :

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.

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