A circular table of radius 0.5 m has a smooth diametrical groove. A ball of mass 90 g is placed inside the groove along with a spring of spring constant 10^2 Ncm^−1. One end of the spring is tied to the edge of the table and the other end to the ball. The ball is at a distance of 0.1 m from the center when the table is at rest. On rotating the table with a constant angular frequency of 10^2 rads^−1, the ball moves away from the center by a distance nearly equal to