According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 12 J of work is needed to stretch a spring from 11 cm to 15 cm and another 20 J is needed to stretch it from 15 cm to 19 cm. Find the exact value of k, in N/m. k = 15000 X N/m What is the natural length of the spring, in cm? cm

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