# Problem: The net force exerted on a particle acts in the positive exttip{x}{x} direction. Its magnitude increases linearly from zero at x = 0, to 410 N at exttip{x}{x_2} = 3.1 m . It remains constant at 410 N from exttip{x}{x_2} = 3.1 m to exttip{x}{x_3} = 7.1 m , and then decreases linearly to zero at exttip{x}{x_4} = 13.1 m .Determine the work done to move the particle from x = 0 to exttip{x}{x_4} = 13.1 m graphically, by determining the area under the Fx versus exttip{x}{x} graph.

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###### Problem Details

The net force exerted on a particle acts in the positive direction. Its magnitude increases linearly from zero at x = 0, to 410 N at = 3.1 m . It remains constant at 410 N from = 3.1 m to = 7.1 m , and then decreases linearly to zero at = 13.1 m .

Determine the work done to move the particle from x = 0 to = 13.1 m graphically, by determining the area under the Fx versus graph.