What is the work done on a bucket hanging in a well?

AI Thread Summary
To determine the work done on a bucket hanging in a well, the problem involves calculating the work done by the person pulling the bucket and the work done by gravity. The individual attempted to use the formula W = F d, calculating the force as the weight of the bucket (9.8 N multiplied by 6.75 kg) and the distance as 4.00 m, resulting in 264.6 J. However, there is confusion regarding the correct answer, which is stated as 3.6 J in the textbook, leading to skepticism about the book's accuracy. The discussion highlights the importance of understanding the forces at play when pulling the bucket slowly, emphasizing that the upward force must be slightly greater than the weight of the bucket. Clarification on the calculations and assumptions is needed to resolve the discrepancies in the work done.
enian
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Homework Statement



An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00m.
(a) How much work do you do on the bucket in pulling it up?
(b) How much work does gravity do on the bucket?
(c) What si the total work done on the bucket?

The Attempt at a Solution


I couldn't get part (a). I may not be understanding it right.
I said..
W = F d
W = (9.8*6.75) * 4.0m
W = 264.6 J
*assuming by slowly they mean the upward force is just slightly more than the weight

but the answer in the back of the book for a is 3.6J??
 
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i guess the book is wrong..3.6 J to pull a 6.75kg 4meters... not even in the moon would be that work...
 
Is my method right though?
 
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