3. According to Hooke's law, the force F required to stretch a spring x units beyond its natural length is directly proportional to x. a. Write an equation which expresses the relationship between F and x. b. Suppose that it takes a force of 8 pounds to stretch a spring 8 centimeters long to a new length of 10.5 centimeters. Find the value of the constant of proportionality k, which is known as the spring constant. c. How much weight is needed to stretch the spring described in (b) to a length of 10.8 centimeters?

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