A student sits at rest on a piano stool that can rotate without friction. The moment of intertia of the student-stool system is 4.1 kg*m^2. A second student tosses a 1.5 kg mass with a speed of 2.7 m/s to the student on the stool, who catches it at a distance of 0.40 m from the axis of rotation. What is the resulting angular speed of the student and the stool?