The weight of the ball can be balanced by the electric force acting on it. The electric force is given by F = qE, where F is the force, q is the charge, and E is the electric field. The weight of the ball is given by W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity. To balance the weight, the electric force must be equal to the weight. Therefore, qE = mg. Rearranging the equation, we get E = mg/q. Substituting the given values, we have E = (5.0e-3 kg)(9.8 m/s^2)/(4e-6 C) = 1.2e4 N/C.