A cutting tool several forces acting on it. One force is F=-axy^2 j , a force in the negative y-direction whose magnitude depends on the position of the tool. The constant is a= 2.85 . Consider the displacement of the tool from the origin to the point x=2.40 , y=2.40 .

Calculate the work done on the tool by F if this displacement is along the straight line y=x that connects these two points.

Calculate the work done on the tool by F if the tool is first moved out along the x-axis to the point x=2.40, y=0 , and then moved parallel to the y-axis to x=2.40

Question

A cutting tool several forces acting on it. One force is F=-axy^2 j , a force in the negative y-direction whose magnitude depends on the position of the tool. The constant is a= 2.85 . Consider the displacement of the tool from the origin to the point x=2.40 , y=2.40 .

Calculate the work done on the tool by F  if this displacement is along the straight line y=x that connects these two points.

Calculate the work done on the tool by F if the tool is first moved out along the x-axis to the point  x=2.40, y=0 ,  and then moved parallel to the y-axis to  x=2.40