Key Formulas
Elastic collision (v2 = 0):
v1' = (m1 − m2) v1 / (m1 + m2)
v2' = 2 m1 v1 / (m1 + m2)
Inelastic collision:
v' = (m1 v1 + m2 v2) / (m1 + m2)
Coefficient of restitution: e = −(v1' − v2)/(v1 − v2)
Important Notes
- Elastic Collision: Total kinetic energy and momentum are conserved; objects bounce apart after collision.
- Inelastic Collision: Momentum is conserved but kinetic energy is lost; objects move together with a common velocity.
- Coefficient of Restitution (e): e = 1 for perfectly elastic and e = 0 for perfectly inelastic collisions.
- % Error: Shows the difference between simulated and theoretical values; smaller % error means better agreement with theory.