A painter weighing 120 pounds is hoisted by means of a rope windlass from the ground to a window on the tenth story of a hotel, 80 feet above ground level. (a) If the weight of the entire rope is considered to be negligible, then find the work W required to lift the person the 80 feet above ground level. (b) Assume that instead of a rope, a substantial chain weighing 2 pounds per foot is used in the windlass. Find the work W1 required to lift the person the 80 feet from ground level. (Hint: Note that as the person is lifted, the length of the chain that must be lifted decreases.)
A painter weighing 120 pounds is hoisted by means of a rope windlass from the ground to a window on the tenth story of a hotel, 80 feet above ground level. (a) If the weight of the entire rope is considered to be negligible, then find the work W required to lift the person the 80 feet above ground level. (b) Assume that instead of a rope, a substantial chain weighing 2 pounds per foot is used in the windlass. Find the work W1 required to lift the person the 80 feet from ground level. (Hint: Note that as the person is lifted, the length of the chain that must be lifted decreases.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A painter weighing 120 pounds is hoisted by means of a rope windlass from the ground to a window
on the tenth story of a hotel, 80 feet above ground level.
(a) If the weight of the entire rope is considered to be negligible, then find the work W required to
lift the person the 80 feet above ground level.
(b) Assume that instead of a rope, a substantial chain weighing 2 pounds per foot is used in the
windlass. Find the work W1 required to lift the person the 80 feet from ground level. (Hint:
Note that as the person is lifted, the length of the chain that must be lifted decreases.)
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