Answer to Question #344328 in Calculus for Jane

Question #344328

4. A spring has a natural length of 18 inches and a force of 201 lbs is required to stretch and hold the spring to a length of 24 inches. What is the work required to stretch the spring from a length of 21 inches to a length of 26 inches?

1
Expert's answer
2022-05-27T14:30:03-0400
"F=k\\Delta x"

"k=\\dfrac{201\\ lb}{24\\ in-18\\ in}=33.5\\ lb\/in"

"W=\\dfrac{33.5\\ lb\/in(26\\ in-21\\ in)^2}{2}=418.75 \\ lb\\cdot in"


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