0.255 kg catcher is attached by a 45.0 cm long massless cable to a frictionless axle. The catcher is initially at rest. A 0.144 kg ball with a radius of 0.0875 m rolls without slipping from a height of 1.25 m and is captured by the catcher. For a solid ball, I = (2/5)MR2.

(a) What is the speed of the ball just before the ball is caught?
(b) What is linear speed of the ball and catcher immediately after the ball is caught? Only linear momentum is conserved in this collision
(c) If the cable is shortened to 21.5 cm, what would the linear speed of the ball and launcher be?

So for part a I got 4.18m/s and for part b I got 1.51m/s. For part c someone told me it would be the same as part b but when I asked my professor he said it would be different, and to use conservation momentum of angular speed, but I have no idea where to start. Any help would be appreciated!

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