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A cutting tool under microprocessor control has several forces acting on it. One force is F⃗...

A cutting tool under microprocessor control has several forces acting on it. One force is F⃗ =−αxy^2j, a force in the negative y-direction whose magnitude depends on the position of the tool. The constant is α . Consider the displacement of the tool from the origin to the point x= a , y= a . Question A Calculate the work done on the tool by F⃗ if this displacement is along the straight line y=x that connects these two points. W = ? Question B Calculate the work done on the tool by F⃗ F→ if the tool is first moved out along the x-axis to the point x= a, y=0 and then moved parallel to the y-axis to x= a, y= a.

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