Physics · Unit 5: Momentum ·  Activity 5-1-3

Conservation of Momentum in One Dimension

Two objects collide, and something is conserved through the whole violent mess. Find out what it is, and why it’s the same for a truck and a compact car  ·  1 class day

Starringp_before = p_afterm₁v₁ + m₂v₂ = (m₁ + m₂)v_f
Total momentum: conserved
In an isolated system the total momentum is the same before and after, whether the objects stick, bounce, or push apart.
Kinetic energy: often not
When objects stick, some kinetic energy becomes thermal energy, sound, and deformation. Only a bounce-apart (elastic) collision keeps it.

🧭 Plot Summary

Collisions look chaotic. Forces spike, things crumple, and everything happens in a few thousandths of a second. But underneath the chaos there’s a rule that always holds: in a system with no net outside force, the total momentum doesn’t change. What one object loses, another gains.

That one rule lets you predict the outcome of a crash without knowing a single thing about the forces. You’ll learn why it’s true, use it on carts that stick together and skaters who push apart, and then measure it yourself on real carts. You’ll also settle an old question: when a semi truck hits a compact car, which one feels the bigger force?

What you will do in this activity

  • Learn the law of conservation of momentum and the reason behind it.
  • Solve before-and-after problems for objects that stick together and objects that push apart.
  • Crash two carts together and measure how well their total momentum was conserved.
  • Discover that kinetic energy is not conserved in a collision that sticks, even though momentum is.
  • Settle the semi-truck-versus-compact-car question: which one feels the bigger force?

Why it matters

Conservation of momentum is the main tool investigators use to reconstruct crashes. It’s also the check you’ll run on your own collision data in Project 5-2-3.

✅ Self-Check Before You Roll On

Check off each item as you get there. These are not grades — they are your own signal.