In a stress reliever, why is it impossible for two balls to react to only one ball released?

Question

Any formula that you can use to prove your answer?

+I am pertaining to the executive stress reliever.

I am pertaining to the so-called executive stress reliever. Any formula/s to prove your answer?

Answer 1

Conservation of momentum and conservation of energy:
Assuming perfectly elastic collisions:
(1.) m1v1 = m2v2
(2.) m1v1^2 = m2v2^2

For example, if two balls react to one ball, according to (1.) velocity must be halved, but according to (2.) velocity is reduced by a factor of (√2)/2.
You can't have both. Nature solves that by keeping the number of balls equal.