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Elastic and Inelastic Collisions in 2D

What you are seeing: two disks of mass m1,m2m_1, m_2 collide obliquely with an adjustable impact parameter bb and coefficient of restitution ee. The collision is resolved along the contact normal: that component reverses scaled by ee, the tangential component is unchanged. Momentum is conserved componentwise for any ee; kinetic energy only for e=1e = 1. Head-on (b=0b = 0) is the familiar 1D case.

Figure 1. Two-disk 2D oblique collision with adjustable restitution and impact parameter; componentwise momentum conserved, kinetic energy lost for e < 1.
m11.0
m22.0
speed v13.0
impact b0.40
e (restitution)0.60

WHAT TO TRY

  • Set $e = 1$ for a perfect bounce: the kinetic-energy line stays flat. Lower $e$ and watch energy drop at the moment of impact while momentum does not.
  • Slide the impact parameter $b$ from a head-on hit to a glancing graze and watch the scatter angle open up.
  • Change the masses: the total-momentum arrow in the corner never changes length, however the two disks share it out.