Answer:
386.09 J
Step-by-step explanation:
You want to know the work done to move a couch 6 m if a force of 84 N at an angle of 40° is used to move it.
Work
Work is the product of force and distance. The force is measured in the direction of motion. Here, the force in the direction of motion is ...
(84 N)cos(40°)
Then the work done is ...
W = Fd
W = (84 N)cos(40°)·(6 m) = 386.09 N·m = 386.09 J
You did 386.09 J of work to drag the couch.