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​Hooke's law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 11 lb stretches a certain spring 9 ​in., how much will a force of 22 lb stretch the​ spring?

Respuesta :

Using proportions, it is found that a force of 22 lb stretches the spring 18 inches.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The measures are direct proportional, hence the rule of three is:

11 lb - 9 inches

22 lb - n inches

Applying cross multiplication:

11n = 9 x 22

n = 9 x 2

n = 18 inches.

More can be learned about proportions at https://brainly.com/question/24372153

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