CALC A cutting tool under microprocessor control has several forces acting on it. One force is a force in the negative y -direction whose magnitude depends on the position of the tool. For ? = 2.50 N/m, consider the displacement of the tool from the origin to the point (x = 3.00 m, y = 3.00m). (a) Calculate the work done on the tool by if this displacement is along the straight line y = x that connects these two points. (b) Calculate the work done on the tool by if the tool is first moved out along the x-axis to the point (x = 3.00 m, y = 0) and then moved parallel to the y -axis to the point (x = 3.00 m, y = 3.00 m). (c) Compare the work done by F S along these two paths. Is conservative or nonconservative? Explain.

Solution 83P Step 1 of 7: Here in the given problem, we need to calculate the work done by given variable force F = xy j along two different paths and comparing work done along two different paths, we need to comment on the conservative property of force. Given data, Force, F = xy j2 Force constant=2.5 N/m To find , Work done , W= The work done by variable force along the path from point P 1o P i2 given by, P 1 W= F.dr P1 Where F is applied force and dr is displacement vector.