A simple pendulum consists of a ball of mass M = 4.5 kg hanging from a uniform string of mass m = 0.6 g and unknown length L. The pendulum is located in gravitational field g = 9.8 m/s2 and has period T = 2 s. For simplicity, ignore the string’s weight compared to the ball’s weight. Likewise, ignore the ball’s radius compared to the string’s length. Find the required length of the string to double the period of the pendulum.