5.5 Work Done by a Varying Force

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Work by a Varying Force

Work performed by a varying force is typically calculated via calculus (taking an integral). If you have taken calculus, you may recall that taking an integral is how we find the area under a curve. If we have a plot of Force vs Position, we can approximate the area under the under the curve to determine the work.

5.5 work by a varying force1
5.5 work by a varying force2

The graph above is the Force vs Position curve for a force applied to elongate a spring.