(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use Hooke's Law to determine the variable force in spring problem.

Eighteen foot-pounds of work is required to stretch a spring 4 inches from it's natural length. Find the work required to stretch the spring an additional 3 inches.

2. Relevant equations

W=∫f(x)dx

f=kd

3. The attempt at a solution

I set the work equal to 18 and the distance equal to 4.

so 18=4K, K=18/4

with this knowledge I set my function is (18/4)X

integrating

∫(18x/4)dx from 4 to 7

I get 9x(^2)/4

using the fundamental theorum of Calculus from 4 to 7

I get 74 1/4 (not sure of units, is it inches-pound)

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# Help using Hooke's law to find work

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