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In Mathematics / High School | 2014-11-14

A stretched spring has a length of 12 inches when a weight of 2 lbs is attached. The same spring has a length of 18 inches when a weight of 5 lbs is attached.

What is the length of the spring when no weights are attached?

Asked by brennae9

Answer (2)

The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

Answered by ChrisR | 2024-06-24

The natural length of the spring when no weights are attached is 8 inches. This is determined by calculating the amount of stretch for the weights attached and subtracting that from the stretched lengths. The spring stretches 2 inches for every pound of weight added, leading to the conclusion of 8 inches as its natural length.
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Answered by ChrisR | 2024-09-01

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