Interactive lab · collisions & momentum

Collisions: momentum versus kinetic energy.

The costliest collision mistake is conserving the wrong quantity. This lab shows a momentum meter and a kinetic-energy meter during every collision. Momentum stays fixed; kinetic energy drops unless the collision is perfectly elastic.

Model
Σp constant · ΔKE ≤ 0 in impacts
Bench
two-cart track + conservation meters
Practice
6 problem types · new numbers each time
Feedback
names the mistake · e.g. wrong quantity conserved

Covers sticky collisions, energy lost on impact, recoil, and the two-stage ballistic pendulum.

Collision bench / momentum and kinetic energy STANDBY
Σp momentum 24 kg·m/s

conserved through every impact

ΣKE kinetic energy 96 J

survives impact only if e = 1

v₁
8 m/s
v₂
0 m/s
predicted v₁′
3 m/s
predicted v₂′
3 m/s
KE lost
60 J
p check
24 = 24

Watch the two meters at impact: Σp stays the same, and ΣKE drops unless e = 1.

Predict first then test it

Two identical carts on a frictionless track. Cart A moves right at 6 m/s; cart B is at rest. They collide perfectly elastically. What happens?

Worked example sticky collision

  1. 01

    Model

    A 4 kg cart at 6 m/s couples with a stationary 8 kg cart on a frictionless track. We want the final speed and the kinetic energy lost. Two quantities are worth checking, momentum and kinetic energy, and only one is conserved here.

Practice desk 0/6 solved

Numeric answers with ±2% tolerance. Most wrong answers here come from conserving the wrong quantity, and the feedback says which one you used.

A 5 kg cart moving at 8 m/s hits a stationary 6 kg cart and they couple together. What is their common speed just after the collision?

next Next step

The energy and momentum ladder has nine problems on this choice, ending at contest level.