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Ryan, Engineer
Category: Calculus and Above
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Experience:  B.S. in Civil Engineering
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A spring has a nonlinear force law such that the force

Customer Question

A spring has a nonlinear force law such that the force necessary to compress the spring is given by:
F=k'(e^(ax)-1)
where k' = 200 N is a constant, α = 1.0 m−1 and x is the distance measured from the spring’s equilibrium position in meters. How much work is done compressing the spring from x = 0 m to x = 0.25 m? Compare this to the amount of work necessary to compress a spring that obeys Hooke’s Law with k = 200 N/m over the same distance.
Submitted: 5 months ago.
Category: Calculus and Above
Expert:  Mr. Glenn replied 5 months ago.

Hi

Customer: replied 5 months ago.
tomorrow at 10 am
Expert:  Mr. Glenn replied 5 months ago.

Hi

Is -1, not included in the exponent of "e" ? (Is it only (ax) the exponent of "e" right?)

Expert:  Ryan replied 5 months ago.

Hi,

Thank you for using the site. Here is a link to the solution:

Spring

Clicking the above link will take you to a page where you can download the solution as a Word document. Please let me know if you have any difficulty accessing this file.