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 54 J of work is needed to stretch a spring from 11 cm to 17 cm and another 90 J is needed to stretch it from 17 cm to 23 cm. Find the exact value of k, in N/m. k = 10000 ✔ N/m What is the natural length of the spring, in cm? 15.9 x cm

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Chapter1: Units, Trigonometry. And Vectors
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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 54 J of work is needed to stretch a spring from 11 cm to 17 cm and another 90 J is needed to stretch it from 17 cm to 23 cm. Find the exact value of K, in N/m.
k= 10000
✔ N/m
What is the natural length of the spring, in cm?
15.9
x cm
Transcribed Image Text: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 54 J of work is needed to stretch a spring from 11 cm to 17 cm and another 90 J is needed to stretch it from 17 cm to 23 cm. Find the exact value of K, in N/m. k= 10000 ✔ N/m What is the natural length of the spring, in cm? 15.9 x cm
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