2. A force acting on a particle moving in the xy plane is given by F = (3y+ x), where F is in newtons and x and y are in meters. The particle moves from the origin to a final 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 (from O to A, then A to C) (b) the red path (From O to B, then B to C) (c) Is F conservative or nonconservative? How do you know? y (m) (B)