Hooke's Law states that the distance a spring will stretch beyond its natural length varies directly with the force applied to the spring. A force of 12 pounds is needed to stretch a certain spring 9 inches beyond its natural length.

Question

Find a formula that models the length a spring will stretch beyond its natural length in inches as a function of the force applied to the string in pounds. (All I could figure out is that the input is the weight and the output is length. I don't know how to find the formula though, please help!!)

Answer 1

k = 12Lbs/9in = 1.33 Lbs/in.