Hookes law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider

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Hooke’s law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by 

F(x) = 16x - 0.1x3, for |x| ≤ 7.

a. Graph the restoring force and interpret it.

b. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 1.5?

c. How much work is done in compressing the spring from its equilibrium position (x = 0) to x = -2?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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