When a spring is stretched a distance x, it exerts a restoring force of magnitude F = A x, where A is a constant.?

Question

When a spring is stretched a distance x, it exerts a restoring force of magnitude F = A x, where A is a constant. Find the work required to stretch the spring from x = 0 to x = L:

Answer 1

work = ∫ F(x) dx = ∫ Ax dx = ½Ax²

evaluated from 0 to L yields AL²/2 ◄ fifth choice

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