a) The Schiller-Naumann drag coefficient for small particles is: Ca=24(1+0.15Re^0.687)/Re. What is the ultimate settling speed of a 1mm steel ball in stationary water? The density of the ball is 7.8 times that of water. Ultimate speed is the speed at which net gravity balances the drag.
b) The ball has some electric charge, 0.005 Coulomb. Now, a horizontal electric field is suddenly turned on, the intensity is E=10 N/Coulomb. What is the force acting on the steel ball? What is its acceleration? Don't forget the force needed to drive the added mass in water, which equals to d(mf)/dt.