Solution Found!
?Show how to approximate the required work by a Riemann sum. Then express the work as an
Chapter 5, Problem 15(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 cable that weighs \(2 \quad lb/ft\) is used to lift \(800 lb\) of coal up a mine shaft \(500 ft\) deep. Find the work done.
Equation Transcription:
Text Transcription:
2 lb/ft
800 lb
500 ft
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 cable that weighs \(2 \quad lb/ft\) is used to lift \(800 lb\) of coal up a mine shaft \(500 ft\) deep. Find the work done.
Equation Transcription:
Text Transcription:
2 lb/ft
800 lb
500 ft
ANSWER:
Step 1 of 3
Let work done on the cable be
We will divide the cable into segments, let be the distance from the top of the mine shaft to the segment and let be length of the segment.
Work Done on a segment Weight of the segment Vertical distance traveled Work Done on a segment