You are welcomed to check out [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=711.0]Collision between two pendulums[/url] or [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=5.0]1D collision : Conservation of Momentum[/url]
The velocity of two objects after collision ()can be calculated from velocity before collisions () and mass of two objects ().
From conservation of momentum
and conservation of energy
and , which means
i.e. The equation need to be solved are
The result is
It means that and
or and where ...etc.
From the point of center of mass coordinate system: both particles bounce back with the same speed (relative to center of mass).