Solve the all parts of given problem:
Problem: A 2.80 g cork ball with a charge of 3.00 µC is suspended vertically on a 0.750 m long light string in the presence of a uniform, downward-directed electric field of magnitude E = 1.00 x 105 N/C. If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum.
Part A: Determine the period of this oscillation.
Part B: By what percentage does the inclusion of gravity affect the period?
Please show work on how to solve!