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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 6, Problem 28RE

To determine

**To calculate**: the work done to raise the elevator from the basement to the third floor by 30ft height.

Expert Solution

The total work required to raise the elevator form basement to the third floor is

**Given information:**

The weight of elevator is 1,600 lb.

The weighs of cable is

Length of cable is 200 ft.

The height between basement and third floor is 30 ft.

**Calculation:**

Calculate the work done by the elevator

Here, *W* is weight of elevator and *d* is the distance from basement to third floor.

Substitute 1600 lb for *W* and 30 ft for *d* in Equation (1).

Determine the work needed to raise the bottom of the cable:

Here, *d* is the distance from basement to third floor.

Substitute (200-30) ft for *d*.

Expression to find the work required to raise the elevator by the cable at the third floor

(0 ft to 30 ft):

Here,

Substitute 0 for *a*, 30 for *b*, and

Find the total work required as shown below:

Substitute

Therefore, total work required to raise the elevator form basement to third floor is