Consider the following Diagram in which a Cue Ball (A) of mass M is shot twice at another pool ball with identical mass M.
When the force with which the cue ball (A) is hit (v1) is increased (v2) it seems that the angle which the cue ball is reflected is decreased, while the angle that the other ball is deflected is increased.
Is this thinking accurate? Or is this an illusion, and does the value X remain constant no matter what the force V?
Is there a way of calculating the exact of angle of deflection of the cue ball (x) and the angle of the deflection of the other ball (y), if you know its mass and the angle of incidence at which it hits? The second ball is resting and they have identical mass.
**Note: This is a simplified example where the ball is not spinning (Or in pool terms, "full stun."). But if you would like to provide a general formula that also accounts for spin, please do!