A turntable has a radius R=0.80 m and a moment of inertia of I=2.0 kg m2. The turntable is rotating with an angular velocity (ωz)i=1.6 rad/s about a vertical z-axis through its centre on frictionless bearings. A very small ball of mass mB=0.50 kg is projected horizontally toward the turntable axis with a velocity of 3.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable. a) What are the initial and final moments of inertia of the ball-turntable system?