There is an electric dipole with dipole moment p above a grounded infinite conducting plane. The dipole is at distance h from the plane and rotated by with respect to the normal vector of the plane. 0 h P 0 Perfect Conductor V = 0 (a) Find the electric force F that exerts on the dipole when 0 = 0 and 7/2. (6 pts) (b) Find the torque as a function of and h. (10 pts) (c) Find the electrostatic potential energy of the system U(h, 8). (5 pts) (d) Let U = |p|/(a). Create a contour plot of U/U in the region h/a [1,3] and 0 [0, ]. (4 pts) (e) After the dipole p is placed initially at a sufficiently high h with the rotation angle 0 = /4, describe its (translational and rotational) motion and explain the reason briefly. You don't need to solve the equation of motion quantitatively. (5 pts)