Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it. A. What is the angular speed of the system just after the clay ball hits? B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before?

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Two 2.50 [kg] balls are attached to the ends of a thin, massless rod of length 72.0 [cm]. The rod can freely rotate along the vertical without friction, about an axis through its center as shown. With the rod initially at rest and oriented horizontally, a 1.00 [kg] ball of clay drops directly onto one of the balls, hitting it with speed 1.00 [m/s] then sticking to it.

A. What is the angular speed of the system just after the clay ball hits?

B. What is the ratio of the kinetic energy of the system after the collision, to that of the clay ball just before?

C. What is the angular velocity of the system as the clay ball passes through its lowest point?

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