Problem 9  A chain 62 meters long whose mass is 26 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 14 meters of the chain to the top of the building? Use that the acceleration due to gravity is 9.8 meters per second squared. Hint: Don't forget that when you lift the top 14 meters of the cable you are also lifting the bottom 48 meters of the cable, just not all the way to the top.

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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Problem 9 

A chain 62 meters long whose mass is 26 kilograms is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the top 14 meters of the chain to the top of the building? Use that the acceleration due to gravity is 9.8 meters per second squared.

Hint: Don't forget that when you lift the top 14 meters of the cable you are also lifting the bottom 48 meters of the cable, just not all the way to the top.

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