3) A projectile of mass 440 g with a velocity of 60 m/s strikes and sticks to the surface of a sphere (initially at rest) of mass 250 kg and diameter 120 cm that rotates freely on a fixed axis through its center. The line of impact bisects the radiusof the sphere. a) Calculate the angular momentum of the projectile before the collision. b) Find the angular velocity of the system immediately after the collision. c) Calculate the kinetic energy just before and just after the collision.

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