Question

2. Two billiard balls,both of mass m=0.16 kg and diameterd=5.7 cm, elasticallycollide. The balls have initial velocitiesV1=0.5 m\sx,V2=−0.3 m\s x
and initial angular velocities W1=−18 rad\s z, W2=−8rad/s z
a) Transform the velocities V1 and V2 to the velocities U1 and U2inthe center-of-mass (CM) frame.
During the collision the balls make contact without slippage.Afterthe collision ball 1 moves in the direction deta1′=176°in theCM frame.
b) What is the final direction deta 2′ of ball 2 in theCMframe?
c) What are the final speeds U1′ and U2′ of the twoballs in the CMframe?
d) What are the final angular velocities W1′ and W2′ ofthe twoballs?