Two carts collide on a frictionless track. Total momentum is always conserved — but kinetic energy survives only when the collision is perfectly elastic. Watch the green centre-of-mass marker glide through the whole event at one unchanging speed.
■ Cart 1 velocity■ Cart 2 velocity▲ Centre of massFrictionless track · walls at both ends
Setup
Mass m₁2.0 kg
Mass m₂3.0 kg
Velocity v₁4.0 m/s
Velocity v₂-2.0 m/s
Restitution e1.00
Elastic
Collision type
2.0
momentum p (kg·m/s)
28.0
KE before (J)
28.0
KE after (J)
0.0
ΔKE (J)
p = m₁v₁+m₂v₂ conservedKE conserved iff e=1v_cm constant
Playback
Try this: set e = 0 — the carts stick together and KE drops sharply (yet p and v_cm hold). Or give both carts equal mass with e = 1 head-on: they simply swap velocities.