At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 2.0 m, the mass of the person is 50 kg and the speed of the wall is 10.0 m/s when the floor falls away. (Note that in a sense this is similar to the demonstration that you saw in class with sponge in a barrel).What is the radius of the chamber?