Here's an interesting puzzle:
The whole scenario takes place in one dimension of space.
Ball B is at rest. Ball A moves with momentum [tex]p_a[/tex]
Ball A makes a perfectly elastic head-on collision with Ball B. Ball B moves off with momentum [tex]p_b[/tex]
Prove that [tex]|\frac{p_b}{p_a}|<2[/tex]
The whole scenario takes place in one dimension of space.
Ball B is at rest. Ball A moves with momentum [tex]p_a[/tex]
Ball A makes a perfectly elastic head-on collision with Ball B. Ball B moves off with momentum [tex]p_b[/tex]
Prove that [tex]|\frac{p_b}{p_a}|<2[/tex]