Collision Simulator

Explore elastic and inelastic collisions. Adjust masses and velocities to observe momentum conservation, energy transfer, and center-of-mass motion.

Collision Parameters

5
5
10
0

Properties

ModeElastic 1D
m₁5 kg
m₂5 kg
v₁ before10.0 m/s
v₂ before0.0 m/s
v₁ after--
v₂ after--
p total (before)--
p total (after)--
KE (before)--
KE (after)--
KE lost--

The Physics Behind It

Collision Formulas

  • Momentum conservation: m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
  • Elastic: v₁' = ((m₁−m₂)v₁ + 2m₂v₂)/(m₁+m₂)
  • Perfectly inelastic: v' = (m₁v₁ + m₂v₂)/(m₁+m₂)
  • Kinetic energy: KE = ½mv²

Key Concepts

  • Momentum is always conserved in all collisions (elastic and inelastic) when no external forces act
  • Kinetic energy is conserved only in perfectly elastic collisions
  • Perfectly inelastic collisions lose the maximum possible kinetic energy — the objects stick together
  • Equal-mass elastic collision: the objects exchange velocities completely