(Solved): A small plastic ball is connected to a lightweight cord of length \( L=2.00 \mathrm{~m} \) that is ...

A small plastic ball is connected to a lightweight cord of length \( L=2.00 \mathrm{~m} \) that is tied to a point \( P \), as shown in the figure. The ball, string, and point all lie on a frictionless, horizontal table. The ball has a mass \( m=0.0100 \mathrm{~kg} \), a charge \( q=+2.10 \mu \mathrm{C} \) and is released from rest when the string makes an angle \( \theta=60.0^{\circ} \) with a uniform electric field of magnitude \( E=270 \mathrm{~V} / \mathrm{m} \). Determine the speed (in \( \mathrm{m} / \mathrm{s} \) ) of the ball when the string is parallel to the electric field. \[ \mathrm{m} / \mathrm{s} \]