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A bucket begins weighing 15 pounds, including the sand it holds. The bucket is to be lifted to the top of a 50 foot tall buildi...Question
A bucket begins weighing 30 pounds, including the sand it holds. The bucket is to be lifted to the top of a 25 foot tall building by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.1 pounds of sand each foot it is lifted.
Find the work done lifting the bucket to the top of the building.
Find the work done lifting the bucket to the top of the building.
Answers
Steve
work = force * distance, so
∫[0,25] 30-.1x dx
∫[0,25] 30-.1x dx