Chapter 5.R, Problem 28E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

A 1600-lb elevator is suspended by a 200-ft cable that weighs 10 lb/ft. How much work is required to raise the elevator from the basement to the third floor, a distance of 30 ft?

To determine

**To find:**

Work required to raise the elevator from the basement to the third floor.

Explanation

**1) Concept:**

Work done in moving an object from a to b

**2) Formula:**

Work done in moving an object from a to b

**3) Given:**

Weight of elevator is

Length of cable is

Weight of cable is

**4) Calculations:**

Letâ€™s place the origin at the top and the

Divide the cable into small parts with length

If

Now, the weight of the cable is

So the weight of the

Thus, work done on the

The total work done by adding all these approximations and letting the number of parts become large (so

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