We investigate nonlinear springs. A spring is linear if it obeys Hookes Law, which indicates that the
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We investigate nonlinear springs. A spring is linear if it obeys Hooke’s Law, which indicates that the applied force to stretch the spring is F(x) = kx. For a linear spring, F' is constant. If, instead, F' is not constant, then the spring is called nonlinear. Furthermore, if F' (x) increases as x increases, then the spring is said to be progressive, and if F'(x) decreases as x increases, then the spring is said to be degressive.
(a) Of the two applied force graphs in Figure 6, which describes a progressive spring, and which describes a degressive spring?
(b) For each, approximate the work required to stretch the spring from 4 to 9 cm.
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