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Shown below is a small particle of mass 37 g that is moving at a speed...

Shown below is a small particle of mass 37 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.8 kg and a radius of 18 cm and is initially at rest.

a.- What is the angular velocity (in rad/s) of the system after the collision? (Indicate the direction with the sign of your answer.) rad/s

b.- How much kinetic energy (in J) is lost in the collision?

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