3 Problem 3: The identical small spheres shown in Fig.3 are charged to . ID +100 nC and -100 nC. They hang as shown in an E = 10'N/C electric field. What is the mass of each sphere? 50cm SOcm -E a) In Fig. 3, draw the vectors that represent all the forces acting on 10OnC ) -100nC charge 1 (you should have 4 forces in total). Compute the magnitudes of the electric forces acting on charge 1 (when computing the force exerted on charge 1 by charge 2, you need to use the distance between the two FIG. 4: The scheme for Problem 3 charges, which can be deduced from the geometry of the problem). b) For the charge 1 to stay in equilibrium, all forces acting on it have to balance each other. Which condition does this impose on the ratio between the total electric force acting on the charge and the gravitational force, given the inclination angle of the string? Use this condition to find the mass of sphere 1. c) Draw the vectors that represent all the forces acting on charge 2. Why is the system of charges symmetric with respect to the vertical line, even though the electric field E points to the left