Physics Rotational Mechanics Level: Misc Level

A record table turn table is rotating at 45 R P M. The moment of inertia of the table is 0.002 kg m2. A record is dropped onto the turntable. If the record is initially at rest and has a moment of inertia of 0.0005 kg m2:

A) How fast are the two going immediately after the collision.( before the belt can act on the turntable)?

B) How much kinetic energy was lost during the collision?