A student sits at rest on a piano stool tha t can rotate without friction. The moment of inertia of the student-stool system is 4.1 kg · m2. 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?
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