A force acting on a particle moving in the xy plane is given by
where F→Fis in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.00 m and y = 5.00 m as shown in Figure P7.31. Calculate the work done by F→F on the particle as it moves along
(a) the purple path, (b) the red path, and (c) the blue path, (d) Is F→F conservative or nonconservative? (e) Explain your answer to part (d).
