Question: Assume the bucket in Example 4 is leaking. It starts with 2 gallons of water (16 lb) and leaks at a constant rate. It finishes draining just as it reaches the top. How much work was spent lifting the water alone? (Hint: do not include the rope and bucket, and find the proportion of water left at elevation x ft.)
"Example 4": A 5-lb bucket is lifted from the ground into the air by pulling in 20 ft of rope at a constant speed. the rope weighs 0.08 lb/ft. (intentionally left out initial example question, because already answered and not needed, to avoid confusion. I need the answer from the first paragraph.
