A homogeneous ball with mass \(m=1 ~\mbox{g}\) and total charge \(q=10^{-3}~\mbox{C}\) (uniformly distributed) is placed on a horizontal \(xy\)-plane. The ball starts rolling without slipping under the influence of a uniform electrostatic field \(\vec{E}=(E,0,0)\) with \(E=1~ \mbox{V/m}.\) Find the acceleration **in meters per second squared** of the center of mass of the ball.

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