After learning about the electric field due to a ring of charge, you decide to apply this knowledge to a bead launcher to be used to fire beads vertically into the air. you build a metal ring of radius r = 0.240 m and lay it flat on the ground. at the center of the ring, you mount a vertical nonconducting wire that will serve as a guide for the bead as it is launched upward. you place a 2.50 g bead on the upper end of the wire and slide the bead to the bottom end, where it is just above the center point of the ring. you place a charge of +4.00 µc on the bead, and +4.00 µc on the metal ring. you then release the bead so that it is repelled from the ring and launched upward. determine to what height (in m) the bead rises before coming to rest and beginning to fall back downward.