A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 36 Ib of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter x* as x.) lim Express the work as an integral. Jax Evaluate the integral. ft-lb

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A bucket that weighs 4 Ib and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled
with 36 Ib of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 Ib/s. Find the
work done in pulling the bucket to the top of the well.
Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter
x as x.)
lim E
Ax
Express the work as an integral.
Evaluate the integral.
ft-lb
Transcribed Image Text:A bucket that weighs 4 Ib and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 36 Ib of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.25 Ib/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter x as x.) lim E Ax Express the work as an integral. Evaluate the integral. ft-lb
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,