Mary is whirling around on a merry-go-round at the playground that her friend Caitlin is gradually spinning faster and faster. Determine the maximum speed Mary can go if the coefficient of static friction between her shoes and the floor is 0.550. Mary is not hanging on, but is simply balancing on her feet at a distance of 2.00 m from the center of the merry-go-round. For g the value is 10 m/s^2 .