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(C) Since this is a head-on elastic collision between two identical spheres,their linear velocities will be exchanged. Sphere $A$ comes to rest,and sp

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$\omega_A = \omega$

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(C) Since this is a head-on elastic collision between two identical spheres,their linear velocities will be exchanged. Sphere $A$ comes to rest,and sphere $B$ moves with a linear velocity $v$.Since the surface is frictionless,there is no torque acting on the spheres about their centers of mass. Therefore,their angular velocities remain unchanged.Thus,$\omega_A = \omega$ and $\omega_B = 0$.Consequently,after the collision,sphere $A$ will only perform rotational motion (without linear motion),and sphere $B$ will only perform linear motion (without rotation).

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