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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

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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.

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