CSEC PHYSICS · SECTION A · LESSON A11

Linear Momentum and Its Conservation

Defining momentum, the law of conservation of linear momentum, and applying it to collisions and explosions along a straight line.

MechanicsA 4.6A 4.7A 4.8≈ 40 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A11 · EXPLAINER

Linear Momentum and Its Conservation

A cricket ball and a bowling ball can be moving at the same speed, but you would never choose to catch the bowling ball. Momentum measures the difference.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

Conservation of momentum in 3D

Collide two trolleys. Compare the total momentum before and after.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Momentum

p = mv; unit kg m/s = N s; vector.

Conservation

Total momentum before = total momentum after (no external resultant force).

Sign convention

Choose one direction as positive; opposite is negative.

Sticking collision

m₁u₁ + m₂u₂ = (m₁ + m₂)v.

Collision without sticking

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.

Explosion / recoil

Starting from rest, total momentum = 0 so the parts move in opposite directions.

Impulse

Ft = Δp; longer time gives smaller force.

Energy in collisions

Momentum is conserved; kinetic energy is not always conserved.

EXAM TIPS & COMMON MISTAKES

  • Draw a before and after sketch, mark positive direction, then write the equation.
  • Include units: kg m/s or N s.
  • In recoil problems, use a negative velocity for the object moving the opposite way.
  • Explain the seat-belt/airbag idea as: same change in momentum, longer time, smaller force.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 4.6

1. The unit of momentum is

Answer: D. p = mv: kg × m/s.
Syllabus A 4.6

2. A 4.0 kg trolley moves at 2.5 m/s. Its momentum is

Answer: A. p = mv = 4.0 × 2.5 = 10 kg m/s.
Syllabus A 4.7

3. The law of conservation of linear momentum applies when

Answer: B. Momentum is conserved in a closed system.
Syllabus A 4.8

4. A 2 kg trolley at 3 m/s collides with and sticks to a 1 kg trolley at rest. The velocity after is

Answer: C. 6 = 3v so v = 2 m/s.
Syllabus A 4.7

5. A gun fires a bullet forward. The gun

Answer: D. Total momentum stays zero.
Syllabus A 4.8

6. A 0.050 kg bullet leaves a 2.0 kg rifle at 200 m/s. The rifle’s recoil velocity is

Answer: A. 0 = 0.050 × 200 + 2.0v so v = −5.0 m/s.
Syllabus A 4.6

7. Which is equivalent to the newton second?

Answer: B. N s = (kg m/s²) × s.
Syllabus A 4.7

8. An airbag reduces injury in a collision mainly because it

Answer: C. Ft = Δp: longer t gives a smaller F.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Momentum

Question 1 [15 marks]

A trolley A of mass 2.0 kg moves at 3.0 m/s towards a stationary trolley B of mass 1.0 kg. After the collision they stick together.

(a) (a) Define linear momentum and state its unit. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Calculate the total momentum before the collision. [3]

MARK SCHEME — (b) (max 3)

(c) (c) State the principle you would use to find the velocity after the collision. [1]

MARK SCHEME — (c) (max 1)

(d) (d) Calculate the velocity of the trolleys after the collision. [3]

MARK SCHEME — (d) (max 3)

(e) (e) Calculate the kinetic energy before and after, and comment on the result. [4]

MARK SCHEME — (e) (max 4)

(f) (f) Explain, using momentum, why a gun recoils when it fires a bullet. [2]

MARK SCHEME — (f) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.