How Much Work Is Required to Lift a 25-ft Chain Up a Building?

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SUMMARY

The discussion focuses on calculating the work required to lift a 25-ft chain with a density of 4 lb/ft over the side of a building. Participants emphasize breaking the chain into N segments to estimate the work done on each segment and ultimately compute the limit as N approaches infinity using integral calculus. A key point raised is the need to use mass instead of volume when calculating the force, specifically noting that the mass of the chain segment is given by (25 ft * 4 lb/ft) / N.

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How much work is done lifting a 25-ft chain over the side of a building? Assume that the chain has a density of 4 lb/ft. Hint: Break up the chain into N segments, estimate the work performed on a segment, and compute the limit as N approaches infinity as an integral.


(The small segment of the chain of length delta y located y feet from the top is lefted through a vertical distance y.)

Force = g*density*volume...?

whats the volume of a segment of the chain, I am having difficulty.


please help
 
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Volume is wrong here. It has to be mass: ##(25ft. \cdot \;4 lb./ft.)/N##.
 

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