BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 75E
To determine

To find: The distance of woman from fulcrum.

Expert Solution

Answer to Problem 75E

The distance of woman from fulcrum is 6.4 ft.

Explanation of Solution

Given:

A boy is at one end 8 ft from the fulcrum and the weight of boy is 100 lb.

The weight of woman is 125 lb.

Formula used: Law of the lever

The product of the weight and its distance from the fulcrum must be same on each side,

w1x1=w2x2

Calculation:

Let the distance of woman from the fulcrum be x.

Tabulate the given information into the language of algebra.

In words In algebra
Distance of woman x
Product of weight and distance 125x

Model the equation for the above information.

Weightofwoman×Distanceofwoman=Weightofboy×Distanceofboy125×x=8×100

Simplify the above equation for x.

125x=800x=800125x=6.4

Thus, the distance of woman from fulcrum is 6.4 ft.

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