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Suppose a 0.400 kg ball is thrown at 18.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown in the figure below.
(a) Calculate the final linear velocity (in m/s) of the person, given his mass is 83.0 kg.
m/s
(b) What is his angular velocity (in rad/s) if each arm is 4.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.930 m) and the rest of his body as a uniform cylinder of radius 0.110 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center.
rad/s
(c) Compare the initial and final total kinetic energies.
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