How much work is done when carrying a load up a set of stairs?

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SUMMARY

The discussion centers on calculating the work done by a man carrying a 70.0 kg box as he moves through various distances, including 10.0 meters down a hallway, 4.0 meters up a set of stairs, and 15.0 meters down another hallway. The key equation used is W = fd, where W represents work, f is the force, and d is the distance. The correct calculation for work done while ascending the stairs is determined to be W = (70.0 kg)(9.81 m/s²)(4.0 m), focusing solely on the vertical component of the movement.

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Homework Statement



A man carries a 70.0 kg box. He caries it down a hallway 10.0 m, up a set of stairs for 4.0 meters, and down another hallway for 15.0 meters. How much work does he do?

Homework Equations



W=fd

The Attempt at a Solution



I am confused because I don't feel like there is enough information to answer. The problem doesn't say if he is walking at a constant velocity or not, but I assume he is. And it doesn't say what direction he is walking in. I feel like this is a trick question and no work is being done, but I am not sure because he walks up a set of steps.

I would guess that the work being done is only when he is walking up the steps?
And the answer would be (70.0)(9.81)(4.0). Would this be correct?

Can someone please explain this to me?
Thanks!
 
Last edited:
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Maybe the question is 'how much work is done on the box' in which case I agree with your answer.
 
The main thing I don't like about the question is that "up a set of stairs for 4.0 meters" would normally mean the distance walked (up the line of slope). Being in the context of distances along horizontals reinforces that. But to answer the question, without being told the angle of the flight of steps, you need to assume it's the vertical distance.
 

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