4. 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 = 7.00 m and y = 7.00 m as shown in the Figure. Calculate the work done by F on the particle as it moves along: a) The Purple Path mm b) The Blue Path c) What is the difference between conservative and nonconservative forces