2. (20 points) A small sphere of mass 5.10 g is hanging vertically from an insulating thread that is 12.0 cm long. By charging some nearby flat metal plate the sphere is subjected to a horizontal electric field of magnitude 7.20 x 105 NC-1. As a result, the sphere is displaced 6.00 cm horizontally in the direction of the electric field. L = 12 cm m,q d = 6 cm (a) Draw a free-body diagram of the problem including all forces and component forces. (b) What is the angle that the thread makes with the vertical? (c) What is the tension in the thread? (d) What is the charge on the sphere? (e) If the charge on the sphere were doubled, what angle would the thread make with the vertical?