if you didn't already have a master's in mechanical engineering, i'd be concerned this was your homework problem.
LOL, bmtran! Just trying to have a little fun with the format. Indeed, it has been so long since I solved this kind of problem that I can only hope I didn't make a mistake that would show up in the test-suite!
I assuming that you're neglecting any rotation caused by grazing collisions.
@Tom, yes that is true. There is no friction.
The tip is coefficient of restitution (COR); and imagining that B1 is a pendulum may help.
Well done, sir!
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