A circular table of radius `0.5 m` has a smooth diamerical groove. A half of mass `90g` is is placed inside the groove along with a spring constant `10^(2)N cm^(-1)` One end of the spring is tied to 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 rotaing the table with aconstant angular frequency of `10^(2)rad's^(-1)` the ball moves away from the center by a distance nearly equal to