The magnitude of the force is 18.6 N
Explanation:
The work done by a force on an object is given by
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
For the block in this problem, we have
[tex]W=-17.8 J[/tex] is the work done
d = 1.35 m is the displacement of the block
[tex]\theta=135^{\circ}[/tex] is the angle between the force and the displacement
Solving for F, we find the magnitude of the force:
[tex]F=\frac{W}{d cos \theta}=\frac{-17.8}{(1.35)(cos 135)}=18.6 N[/tex]
Learn more about work here:
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