Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S = 31.5 cm. Each balloon has equal mass of m = 1.86 g and carries equal charge. You can model each balloon as a particle, with its center L = 47.0 cm from the point of support. What is the charge (in µC) on one balloon?

Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S = 31.5 cm. Each balloon has equal mass of m = 1.86 g and carries equal charge. You can model each balloon as a particle, with its center L = 47.0 cm from the point of support. What is the charge (in µC) on one balloon?