Lachlan M.

asked • 06/19/18

Physics Work Question

Ben carries a 200N suitcase up here flights of stairs (a height of 10m) and then pushes it with a horizontal force of 50N at a constant force of 0.5M/s for a horizontal distance of 35m. How much work does Ben do on his suit case during this entire motion.

Arturo O.

I think you meant to say at a constant SPEED of 0.5 m/s.  Also, clarify whether 10 m is the total height of the flights of stairs, or the height of just one flight of stairs, and how many flights of stairs.
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06/19/18

Lachlan M.

Yes I did mean sorry, and this was the question. 
 
Ben carries a 200 N suitcase up three flights of stairs (a height of 10.0m) and then pushes it with a horizontal force of 50.0 N at a constant speed of 0.5 m/s for a horizontal distance of 35.0 m. How much work does Ben do on his suitcase during this entire motion?
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06/19/18

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Arturo O. answered • 06/19/18

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Assuming the TOTAL height is 10.0 m,
 
Work done rising 10 m is
 
W1 = (200 N)(10.0 m) = 2000 J
 
Work done moving horizontally is
 
W2 = (50.0 N)(35.0 m) = 1750 J
 
Total work done is
 
W1 + W2
 
Note the answer does not depend on the speed, since the problem did not ask for the rate of doing work (i.e. power).
 
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