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?Show how to approximate the required work by a Riemann sum. Then express the work as an
Chapter 5, Problem 19(choose chapter or problem)
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A leaky \(10-kg\) bucket is lifted from the ground to a height of \(12 m\) at a constant speed with a rope that weighs \(0.8 kg/m\). Initially the bucket contains \(36 kg\) of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the \(12-m\) level. How much work is done?
Equation Transcription:
Text Transcription:
10-kg
12 m
0.8 kg/m
36 kg
12-m
Questions & Answers
QUESTION:
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.
A leaky \(10-kg\) bucket is lifted from the ground to a height of \(12 m\) at a constant speed with a rope that weighs \(0.8 kg/m\). Initially the bucket contains \(36 kg\) of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the \(12-m\) level. How much work is done?
Equation Transcription:
Text Transcription:
10-kg
12 m
0.8 kg/m
36 kg
12-m
ANSWER:
Step 1 of 3
At a height of 
At a height of 
The mass of the bucket is
