When a certain rubber band is stretched a distance x, it exerts a restoring force of magnitude F = Ax, where A is a constant.The work done by a person in stretching this rubber band from x = 0 to x = L is:

Question

Quizplus · Accepted Answer

The work done in stretching a spring is given by the formula W = (1/2)kx^2, where k is the spring constant and x is the displacement. In this case, since F = Ax, we can find the spring constant k by taking the derivative of F with respect to x: k = dF/dx = A Then, the work done in stretching the rubber band from x = 0 to x = L is: W = (1/2)k(L^2 - 0^2) = (1/2)AL^2 Simplifying, we get: W = AL²/2 Therefore, the answer is E.

When a Certain Rubber Band Is Stretched a Distance X