Final answer:
To find the strength of the electric field, use the equation F = qE, where F is the force, q is the charge, and E is the electric field strength.
Step-by-step explanation:
To find the strength of the electric field, we can use the equation F = qE, where F is the force on the ball, q is the charge on the ball, and E is the strength of the electric field. Since the ball is hanging vertically, the force on the ball is equal to the gravitational force acting on it. We can calculate the gravitational force using the equation F = mg, where m is the mass of the ball and g is the acceleration due to gravity.
Setting the gravitational force equal to the electric force, we have mg = qE. Rearranging the equation, we can solve for E: E = (mg) / q. Plugging in the given values, we have E = (0.005 kg)(9.8 m/s^2) / (1.00 x 10^-6 C).
Calculating this, we find E = 4.9 x 10^3 N/C. Therefore, the strength of the electric field is 4.9 x 10^3 N/C.