Spring Force (Hooke's Law) Video Lessons

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Problem: Consider the force exerted by a spring that obeys Hooke's law. FindU(xf)-U(x0)=∫x0xfFs→·ds→,whereF→s=-kxi^,  ds→=dxi^and the spring constant k is positive.Express your answer in terms of k, x0, and xf.

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Evaluating Fs•ds

Fs·ds=-kxi^·dxi^=-kxdx

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Problem Details

Consider the force exerted by a spring that obeys Hooke's law. Find

U(xf)-U(x0)=x0xfFs·ds,

where

Fs=-kxi^,  ds=dxi^

and the spring constant k is positive.

Express your answer in terms of k, x0, and xf.

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