Your group is a team of demonstration assistants to a physics professor. She has an upcoming lecture this afternoon on capacitors, and asks your group to set up and test the apparatus shown in the figure below for a classroom demonstration showing the force between the plates in a capacitor. M A 4 Id AV 139 The negative plate of the capacitor at the right of the figure is clamped in place. The upper, positive plate is free to move up and down. Both plates are of area A. A potential difference AV is applied across the capacitor. (a) What is the separation distance d between the capacitor plates when the gravitational force on the hanging ball on the left is balanced by the electrical force on the upper plate on the right? (Use any variable or symbol stated above along with the following as necessary: M, EO, and g.). (b) If you insert a dielectric between the two plates, what will happen to the distance between the plates and why? Show your detailed work.