# Question

According to Hooke's law for springs, developed by Robert Hooke (1635-1703), the force exerted by a spring that has been compressed to a length x is given by the formula F = −k(x − x0), where x0 is the natural length of the spring and k is a constant, called the spring constant. A certain spring exerts a force of 32 lb when compressed to a length of 2 ft and a force of 16 lb when compressed to a length of 3 ft. For this spring, find the following.

a. The linear equation that relates the force exerted to the length compressed

b. The spring constant

c. The natural length of the spring

a. The linear equation that relates the force exerted to the length compressed

b. The spring constant

c. The natural length of the spring

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