A smooth solid sphere A of radius R and of mass m moves on a frictionless horizontal plane surface with an angular speed ω and with a velocity v of center of its mass. v and ω need not be related. The sphere may or may not be rolling. It collides perfectly elastically head on with another identical sphere B at rest. Neglect friction every where between any two surfaces.
After the collision, their angular speeds are ωA and ωB, respectively. Then what is true among these following:
(A) ωA < ωB (B) ωA = ωB (C) ωA = ω (D) ωB = ω
What is the linear velocity of sphere A and what is the linear velocity of sphere B.