(6411 #7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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(6411 # 7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5
pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water
together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds
per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the
first 160 feet. The amount of work done is 137,600 foot-pounds
Transcribed Image Text:(6411 # 7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5 pounds per foot. There is a bucket of water at the end of the chain. Initially the bucket and water together weigh 800 pounds. As the bucket is lifted water leaks from the bucket at a rate of 3 pounds per foot. Setup, but do not evaluate, an integral that gives the work done in lifting the bucket the first 160 feet. The amount of work done is 137,600 foot-pounds
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