AP Physics 1  ·  Unit 4: Linear Momentum  ·  Lesson 4.1

Linear Momentum

Mass times velocity — a vector that captures both how much and which way  ·  Approx. 2–3 class days

Starringp = mvp in kg·m/s  (= N·s)

Use this as a quick reference for p = mv, the vector nature of momentum, and the collision vs. explosion distinction.

Mastering Linear Momentum infographic

🧭 Plot Summary

Linear momentum is the product of an object's mass and velocity: p = mv. It measures how difficult it is to change an object's motion — a heavy truck moving slowly can have the same momentum as a light baseball thrown fast, and both are equally hard to stop. Unlike kinetic energy (a scalar), momentum is a vector — it has the same direction as velocity, and direction matters in every problem.

Collisions vs. Explosions

💥 Collision
Two or more objects interact. Internal forces are much larger than any external force. Analyze using only initial and final states.
🌟 Explosion
Internal forces push objects apart. Total momentum of the system is conserved — objects fly out with equal and opposite momenta.

What you will do in this lesson

  • Define linear momentum as p = mv — the product of mass and velocity.
  • Identify momentum as a vector with the same direction as velocity.
  • Express momentum in SI units: kg·m/s (equivalent to N·s).
  • Set a sign convention and apply it consistently to all objects in a system.
  • Calculate total system momentum by adding individual momentum vectors.
  • Distinguish collisions (objects interact) from explosions (internal forces push objects apart).

Why it matters

Momentum is the foundation everything in Unit 4 builds on. You cannot do impulse problems (4.2), conservation problems (4.3), or collision analysis (4.4) without being completely fluent with p = mv and vector sign conventions. Get this right first and the rest of the unit flows naturally.

Self-Check Before You Roll On

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

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