IGCSE 0625 / Section 1.6 / Extended
Supplement (Extended) content

Mass in motion, and what it keeps.

A heavy lorry crawling and a light bullet flying can carry the same punch. Momentum captures that combination of mass and velocity, and in any collision or explosion, when nothing pushes from outside, the total momentum is exactly the same before and after.

The key idea

Momentum is mass times velocity: p = mv, measured in kg m/s. It is a vector, so direction matters. In a closed system with no external resultant force, the total momentum before an interaction equals the total momentum after it.

Definition · learn the exact words

Momentum is mass multiplied by velocity. It is a vector quantity.

p = m v  (unit: kg m/s)

Conservation of momentum: with no external resultant force, the total momentum before an interaction equals the total momentum after.

Section 01

Collide, and keep the total.

Set the masses and velocities of two trolleys, then let them collide. Watch the readout: the individual momenta change, but the total momentum before the collision matches the total after.

Stage 1 · Learn

Check momentum and its conservation

Four quick checks on the definition, units, and conservation. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

Momentum is defined as...

Quick check+10 XP

The unit of momentum is...

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Momentum is a vector quantity, which means...

Quick check+10 XP

In a closed system with no external resultant force, the total momentum...

Section 02

Counting the total momentum.

Worked example

A 3.0 kg trolley moving at 4.0 m/s collides with and sticks to a stationary 1.0 kg trolley. Find their common velocity after the collision.

Step 1 · Momentum beforep = m v = 3.0 × 4.0 = 12 kg m/s
Step 2 · Apply conservation of momentum12 = (3.0 + 1.0) × v
Step 3 · Answerv = 12 / 4.0 = 3.0 m/s in the original direction.
Examiner trap

Because momentum is a vector, you must include direction. A trolley moving left has a negative velocity if right is positive, so its momentum is negative. Adding momenta without checking their signs is the single most common error examiners see in Paper 4.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 2.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

A ball of mass 2.0 kg moves at 3.0 m/s. Its momentum is...

Exam style+20 XP

A 4.0 kg trolley moving at 3.0 m/s collides with and sticks to a stationary 2.0 kg trolley. Their common velocity afterwards is...

Exam style+20 XP

Two identical trolleys approach each other at the same speed and stick together on impact. Just after the collision they...

Skill unlocked

Momentum and conservation, mastered.

This skill is now lit gold on your star map. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The definition and unit of momentum, its vector nature, conservation in collisions, and finding a final velocity. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Motion, forces and energy challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just momentum.
Start the unit challenge →