Isn't the force of friction greater than the force applied in this case? So the box should not move?
F friction = mu x normal force = 0.33 x 1000N = 333.3 N
F applied is 150 N -> this is not enough to move the box!
Yes, I believe you are correct. Ffric>Fapplied will not allow the box to move.
I think the question was trying to mislead the question attempter, but ended up adding addition info that contradicted the q.
Agreed with lacz, it seems like a poorly written question. That said, despite the confusing stuff beforehand, if we take for a fact that the person applies 150N of force on the box over 5m of distance, the work will be 750N.
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