The work done is 375 J
Explanation:
The work done by a force in moving an object is given by
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement
[tex]\theta[/tex] is the angle between the direction of the force and the displacement
In this problem,
F = 75 N is the force applied to the couch
d = 5 m is the displacement
Assuming the force applied to the couch is parallel to the motion, [tex]\theta=0[/tex]
And so, the work done is
[tex]W=(75)(5)(cos 0)=375 J[/tex]
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