Lemma
EasyApplications of integrals
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.6 Force, Work, and Energy, #2 · Calculus · Applications of integrals

A 12-inch spring is stretched to 15 inches by a force of…

A 12-inch spring is stretched to 15 inches by a force of 75 pounds.
(a) What is the spring constant in pounds per foot?
(b) Find the work done in stretching the spring.
(c) Find the work to stretch it 3 more inches.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.6 Force, Work, and Energy, #2

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