Please could you explain how you got your answers in a mathematical way? Thank you so much for your help.

Q57 Colliding rotation A solid steel ball moving at a speed of2.4[}lE collides with another identical ball before 3 that is stationary, and neither ball is spiralling prior to the collision. The halls are magnetized and stick together after the collision. The balls just barely collide {see ._", 1 diagram), and therefore spin as they continue off together. There is no net force on """"""""""""""""""""""""""""""" ' either of the balls (other than what they exert on each other) before, during, or after the collision. a. Find the linear speed of the contact point of the two balls (the point where they are stuck together) after the collision. b. Find the rotational inertia of the twoball combination measured around the contact point in terms of the mass of each bal] (call it \"m\") and the radius of each ball {call it \"R\"). 1 c. The radius of each ball is 6.06m. After the collision it is found that the system has lost ; th of the kinetic energy it started with. Find the rotational velocity of the two balls after the collision