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 3 J of work is needed to stretch a spring from 14 cm to 16 cm and another 5 J is needed to stretch it from 16 cm to 18 cm. Find the exact value of k, in N/m. k= N/m What is the natural length of the spring, in cm? cm

Principles of Physics: A Calculus-Based Text
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Chapter6: Energy Of A System
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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 3 J of work is needed to stretch a spring from 14 cm to 16 cm and another 5 J is needed to stretch it from 16 cm to 18 cm. Find the exact value of k, in N/m.
N/m
k=
What is the natural length of the spring, in cm?
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 3 J of work is needed to stretch a spring from 14 cm to 16 cm and another 5 J is needed to stretch it from 16 cm to 18 cm. Find the exact value of k, in N/m. N/m k= What is the natural length of the spring, in cm? cm
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