7. A force acting on a particle moving in the xy plane is given by ., where F is in newtons and x and y are in meters. The particle moves from the origin to a nal position having coordinates x = 5.00m and y = 5.00 in as shown in Figure P731. Calculate the work done by F on the particle as it moves along (a) the purple path (b) the red path (c) the blue path Figure P131 (d) Is F conservative or nonconservative? (e) Explain your answer to part ((1)