It requires 8 inch pounds of work to stretch a certain spring 2 inches from its rest position. Assuming that the spring follows hooke's law, what is k?

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To find k, the spring constant, we can use Hooke's Law, which states that the force required to stretch or compress a spring is directly proportional to the displacement from its equilibrium position. The formula for Hooke's Law is:

F = k * x

Where:
F is the force applied on the spring,
k is the spring constant, and
x is the displacement from the rest position.

In this case, the force required to stretch the spring is given as 8 inch-pounds, and the displacement is 2 inches. We can substitute these values into the equation:

8 inch-pounds = k * 2 inches

To solve for k, we divide both sides of the equation by 2 inches:

8 inch-pounds / 2 inches = k

Therefore, the spring constant (k) is equal to 4 inch-pounds per inch.