Ann, Sam and you have a hula hoop that is 1.02 m in diameter and has a mass M_h = 2.0 kg. You see both Sam and Ann motionless in space a distance D = 23.6 m apart and oriented in the same direction as each other, parallel head to toe along a line joining their centers of mass. Ann is holding the hula hoop motionless, centered on her body, but decides to throw it 'up' to Sam, giving the hula hoop a spin in the process. You observe the hula hoop moving between Ann and Sam with a translational speed v_h = 3.9 m/s and spin of frequency f_h = 2.5 revolutions/sec. Sam catches the hula hoop and holds it as shown. Sam has a mass Ms = 90 kg and a moment of inertia about his axis Is = 0.65 kg-m² . Ann has a mass M_A = 65 kg and a moment of inertia about her axis of I_A = 0.55 kg-m² . After Sam catches the hula hoop, you see both Sam and Anne spinning and moving away from each other. Calculate their translational velocities v_A and v_S and the frequencies f_S and fA at which they are spinning .