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The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly...

The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly from zero at x = 0, to 22.0 N at x = 3.5 m . It remains constant at 22.0 N from x = 3.5 m to x = 8.0 m , and then decreases linearly to zero at x = 13.0 m . A) Determine the work done to move the particle from x = 0 to x = 13.0 m graphically by determining the area under the F x vs. x graph

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Answer #1

The graph of the Force vs displacement for the given problem is shown below:

The area of a trapezium is given by

which gives us

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