GCSE Physics resources

AQA GCSE Forces

Momentum, Conservation and Safety

Use a direction convention for momentum. Conservation concerns a system, while a stopping-time calculation gives an average interaction force.

AQA 8463AQA 8464 GCSE PhysicsCombined Science: Trilogy Higher

Subsection scope: Momentum and qualitative conservation: both courses Higher. Collision calculations and force from momentum change: Physics Higher only.

Start here

The revision snapshot

Use a direction convention for momentum. Conservation concerns a system, while a stopping-time calculation gives an average interaction force.

By the end, you should be able to:

  • Higher: calculate momentum and explain conservation.
  • Physics Higher: solve a sticking collision.
  • Physics Higher: connect stopping time to average force.

Before you revise

Diagnostic question

Choose an answer from memory. Your result tells you what to watch for in the guide.

Higher: a 0.50 kg ball travels left at 8 m/s. Taking right as positive, its momentum is…

Read the feedback for every option
  1. Direction makes velocity negative.
  2. 0.50 × (−8) = −4.
  3. Multiply mass by velocity, do not divide.
  4. This reverses the relationship and loses direction.

Core revision guide

Learn the model, then use it

Use a direction convention for momentum. Conservation concerns a system, while a stopping-time calculation gives an average interaction force.

Momentum and conservation

Scope: 8463 and 8464 · Higher only

Momentum p = mv is a vector in kg m/s. For a closed system with negligible external resultant, total momentum before equals total momentum after. Opposite velocities have opposite signs. Momentum may be conserved in a collision even when kinetic energy becomes thermal or deformation energy.

A sticking collision

Scope: 8463 Physics only · Higher only

For a 2 kg trolley at 3 m/s joining a stationary 1 kg trolley, initial momentum is 6 kg m/s. Final moving mass is 3 kg, so v = 6/3 = 2 m/s in the original direction. Include both bodies when identifying the closed system.

Average force in safety contexts

Scope: 8463 Physics only · Higher only

For a fixed change in momentum, Faverage = Δp/Δt. Airbags and crumple zones extend stopping time and lower the average force on the occupant. This equation does not guarantee a lower peak for every force–time shape; peak comparisons require comparable profiles. State the same initial/final velocity and mass when comparing safety designs.

Two rectangular force-time pulses have equal area, with twice the duration and half the average force.
A specified constant-force model illustrates average force. General peak claims need a force-time profile.Open the full-size exam diagram
Both courses Higher: momentump = mvkg m/s, kg, m/s
Physics Higher: average interaction forceFaverage = Δp/ΔtN, kg m/s, s

Misconception clinic

Replace the tempting answer

Read each belief, say what is wrong with it, then compare your correction.

Tempting idea: +4 kg m/s.

Use instead: Direction makes velocity negative. 0.50 × (−8) = −4.

Tempting idea: Every possible peak force must halve.

Use instead: Peak needs the force–time profile. Average force is Δp/Δt.

Retrieval practice

Quick checks

1. Physics Higher: the same momentum change occurs in twice the time. What follows?

Read the feedback for every option
  1. Average force is Δp/Δt.
  2. Peak needs the force–time profile.
  3. Time is in the denominator.
  4. Duration does not determine whether the system is closed.

Explore the relationship

Momentum and safety model

Change momentum or collision time, then calculate average force using F = Δp ÷ Δt.

Model scope: 8463 Physics only · Higher only

What to notice: use the readout to describe how one variable changes when the other is controlled.

Worked examples

See the method being built

Apply momentum and conservation in the worked reasoning, then try the changed-context questions below.

Example 1 · Calculate momentum

Scope: 8463 and 8464 · Higher only

A 1200 kg car travels at 15 m/s. Find momentum.

  1. Use p = mv.
  2. Multiply 1200 × 15.
  3. Give kg m/s.
Show the answer

p = 18 000 kg m/s.

Example 2 · Collision conservation

Scope: 8463 Physics only · Higher only

A 2.0 kg trolley at 3.0 m/s hits a stationary 1.0 kg trolley and sticks. Find final velocity.

  1. Initial p = 2.0 × 3.0 = 6.0.
  2. Combined mass = 3.0 kg.
  3. v = 6.0 ÷ 3.0.
Show the answer

Final velocity = 2.0 m/s in the original direction.

Example 3 · Safety explanation

Scope: 8463 Physics only · Higher only

Explain how an airbag reduces injury.

  1. Identify same momentum change.
  2. State collision time increases.
  3. Link to average force.
Show the answer

The airbag increases stopping time, so the same change in momentum happens with a smaller average force.

Exam precision

Use the physics precisely

Do this: Define the system and positive direction before balancing momentum. In safety explanations keep momentum change fixed when comparing average stopping forces.

Independent practice

Exam-style questions

Write an answer before opening the marking guidance. Then edit the exact phrase or step that would gain the next mark.

1. Higher: a 0.40 kg ball travels at 6.0 m/s to the right. Find its momentum.

[3 marks]

Scope: 8463 and 8464 · Higher only

Show marking guidance and model answer

Original PhysicsUK mark scheme: Point 1 (1 mark): p = mv. Point 2 (1 mark): p = 0.40 × 6.0. Point 3 (1 mark): p = 2.4 kg m/s to the right. Award each distinct point once. Accept equivalent scientifically correct wording. No half marks.

  1. p = mv. (1 mark)
  2. p = 0.40 × 6.0. (1 mark)
  3. p = 2.4 kg m/s to the right. (1 mark)

Model answer: p = mv. p = 0.40 × 6.0. p = 2.4 kg m/s to the right.

Acceptable answers: Expected result: p = 2.4 kg m/s to the right. Accept the unrounded value or a correctly rounded equivalent to two or more significant figures; accept equivalent units if converted correctly. No additional measurement interval is implied.

Marking notes: Method marks remain available after an arithmetic error. Carry an earlier numerical error into a later valid step; award that method point if the unit conversion and physics are correct. A fully correct answer with unit earns all marks unless working is expressly requested.

2. Physics Higher: a person’s momentum decreases by 600 kg m/s in 0.30 s. Find the magnitude of average stopping force.

[3 marks]

Scope: 8463 Physics only · Higher only

Show marking guidance and model answer

Original PhysicsUK mark scheme: Point 1 (1 mark): |Faverage| = |Δp|/Δt. Point 2 (1 mark): |Faverage| = 600/0.30. Point 3 (1 mark): |Faverage| = 2000 N. Award each distinct point once. Accept equivalent scientifically correct wording. No half marks.

  1. |Faverage| = |Δp|/Δt. (1 mark)
  2. |Faverage| = 600/0.30. (1 mark)
  3. |Faverage| = 2000 N. (1 mark)

Model answer: |Faverage| = |Δp|/Δt. |Faverage| = 600/0.30. |Faverage| = 2000 N.

Acceptable answers: Expected result: |Faverage| = 2000 N. Accept the unrounded value or a correctly rounded equivalent to two or more significant figures; accept equivalent units if converted correctly. No additional measurement interval is implied.

Marking notes: Method marks remain available after an arithmetic error. Carry an earlier numerical error into a later valid step; award that method point if the unit conversion and physics are correct. A fully correct answer with unit earns all marks unless working is expressly requested.

Questions pupils ask

Momentum, Conservation and Safety FAQs

Does a longer stop guarantee a smaller peak force?

It reduces average force for the same momentum change. A peak comparison also requires information about the force-time profile.

Useful next steps

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