Work Done By a Variable Force Physics Problems, Force Displacement Graphs – Calculus

This physics video tutorial explains how to calculate the work done by a variable force using graphs, equations, formulas, and even integral calculus. To find the work done by a constant force, you can use the equation work equals force times displacement. To find the work done by a variable force that changes at a constant rate, you would use the equation work equals the average force times displacement where the average force is the sum of the initial and final force divided by two. For everything else, you can calculate the work done on an object by calculating the area under the curve of a force displacement graph. You can use the area formulas of triangles and rectangles to do this or you can calculate the definite integral of the force as a function of displacement – this will give you the exact area under the curve.

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