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Physics 12 · Physics · Lesson 2.1

Momentum

Level
Grade 12
Reading time
13 min reading
Review
Last reviewed 2026-09-03
Errata

Abstract

Mass in motion.

What is momentum in physics?

Short answer

Momentum is the quantity of motion an object has, equal to its mass times its velocity: p = mv. It is a vector, pointing in the direction of motion, measured in kilogram-metres per second (kg·m/s). In a closed system with no external force, total momentum is conserved, which is why momentum is central to analyzing collisions and explosions.

Concept preview

What you will be able to do

  1. 01Define momentum as p=mvp = mv and treat it as a vector
  2. 02Relate force to the rate of change of momentum
  3. 03Apply conservation of momentum to an isolated system

Why is a slow freight train so much harder to stop than a fast bicycle? Both are moving, but the train has vastly more of what Newton called the quantity of motion — what we now call momentum. Momentum is mass times velocity, p⃗=mv⃗\vec{p} = m\vec{v}, measured in kg⋅m/s\text{kg}\cdot\text{m/s}. Because velocity is a vector, momentum is a vector too: it points the same way the object moves, and its direction matters enormously.

School Plan

Momentum

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Related topics

Frequently asked questions

Is momentum conserved in every collision?
Total momentum is conserved in any collision with no external force, whether the collision is elastic or inelastic.
How is momentum different from kinetic energy?
Momentum (mv) is a vector and is always conserved; kinetic energy (½mv²) is a scalar and is conserved only in elastic collisions.