1.A space laboratory is rotating to create artificial gravity, as the figure indicates. Its period of rotation is chosen so that the outer ring (r_O = 2470 m) simulates the acceleration due to gravity on earth (9.80 m/s²). What should be the radius r_I of the inner ring, so it simulates the acceleration due to gravity on the surface of Mars (3.72 m/s²

2.For the normal force in the drawing to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 2.22 m and that the driver goes past point 1 at the bottom with a speed of 12.1 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom