Chapter 5: Applications of Integration
Section 5.8: Work
A weight of 3 lbs is attached to a spring hung from a hook, and the spring stretches 5 inches. How much work is done if the spring is stretched a further 8 inches? (Assume the spring obeys Hooke's law.)
Since F=k x, the spring constant is k=3/5, with units lbs/in. Hence, the work done while stretching the spring a further 8 inches is W = ∫5133/5x ⅆx=216/5 in-lbs.
Determine the spring constant from the given data, then write the appropriate definite integral.
Expression palette: Definite-integral template
Context Panel: Evaluate and Display Inline
∫5133/5x ⅆx = 2165
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