This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the part. A heavy rope, 50 ft long, weighs 0.8 Ib/ft and hangs over the edge of a building 140 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it. Exercise (a) How much work W is done in pulling the rope to the top of the building? Step 1 Since the rope weighs 0.8 Ib/ft, the portion of the rope below the top of the building from x ft to (x + Ax) ft weighs Axlb. Submit Skip (you cannot come back) Exercise (b) How much work W is done in pulling half the rope to the top of the building?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped
part.
A heavy rope, 50 ft long, weighs 0.8 Ib/ft and hangs over the edge of a building 140 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it.
Exercise (a)
How much work W is done in pulling the rope to the top of the building?
Step 1
Since the rope weighs 0.8 Ib/ft, the portion of the rope below the top of the building from x ft to (x + Ax) ft
weighs
Axlb.
Submit
Skip (you cannot come back)
Exercise (b)
How much work W is done in pulling half the rope to the top of the building?
Click here to begin!
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. A heavy rope, 50 ft long, weighs 0.8 Ib/ft and hangs over the edge of a building 140 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it. Exercise (a) How much work W is done in pulling the rope to the top of the building? Step 1 Since the rope weighs 0.8 Ib/ft, the portion of the rope below the top of the building from x ft to (x + Ax) ft weighs Axlb. Submit Skip (you cannot come back) Exercise (b) How much work W is done in pulling half the rope to the top of the building? Click here to begin!
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