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Physics · Forces

Braking distances and large decelerations

Explain the factors that affect braking distance, how brakes work in terms of work done and energy, and the dangers of large decelerations.

  • 6 key terms
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Teacher resources

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Student handouts

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Warm-up

Answer each one, then check.

  1. 1

    What is friction?

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    A force opposing motion

  2. 2

    What is kinetic energy?

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    Energy stored in a moving object

  3. 3

    What is deceleration?

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    Slowing down

  4. 4

    What is work done?

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    Energy transferred by a force

  5. 5

    What does the brake do to the wheel?

    Show answerHide answer

    Uses friction to slow it

Learning Objectives

  1. 1Explain how road conditions and the condition of the vehicle affect braking distance.
  2. 2Explain how the brakes reduce the kinetic energy of a vehicle by work done against friction.
  3. 3Explain why greater speed needs a greater braking force to stop in the same distance.
  4. 4Explain the dangers of large decelerations, and estimate the forces involved (Higher tier).

BRAKING

When a force is applied to the brakes, the work done by the friction force between the brakes and the wheel reduces the kinetic energy of the vehicle and increases the temperature of the brakes.

The greater the braking force, the greater the deceleration. Large decelerations may cause brakes to overheat or a loss of control.

What Affects Braking Distance

Increases braking distance

  • Higher speed.
  • Wet or icy roads (less friction).
  • Worn tyres (less grip).
  • Worn brakes (less braking force).
  • A heavier vehicle (more kinetic energy).

Reduces braking distance

  • Lower speed.
  • Dry road.
  • Good tyres with deep treads.
  • Well-maintained brakes.

Braking Force

A car of mass 1200 kg travelling at 25 m/s stops in 50 m. Estimate the average braking force.

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  1. 1 Kinetic energy \(E_k = \tfrac{1}{2}mv^2 = 0.5 \times 1200 \times 25^2 = 375\,000\) J
  2. 2 Work done by the brakes \(W = Fs\), so \(F = 375\,000 \div 50\)
  3. 3 Answer \(F = 7500\) N

AnswerAbout 7500 N.

Deceleration

For the same car, calculate the deceleration.

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  1. 1 Use F = ma \(a = F \div m = 7500 \div 1200\)
  2. 2 Answer \(a = 6.25\) m/s²

Answer6.25 m/s² (deceleration).

Dangers of Large Decelerations

Explain the dangers of a very large deceleration.

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  1. 1 Large force A large braking force is needed
  2. 2 Overheating Brakes can overheat and fade
  3. 3 Loss of control Tyres may lose grip and the car may skid
  4. 4 Passengers Occupants experience large forces that can cause injury

AnswerBrakes overheat, the car can skid, and people in the vehicle are harmed.

Energy

What happens to the energy.

  • Kinetic to thermal

    Work done against friction transfers the car's kinetic energy to the thermal energy of the brakes and tyres.

  • Speed

    Doubling speed quadruples kinetic energy, so the braking distance is about four times as long.

  • Braking force

    A greater speed needs a greater braking force to stop in the same distance.

  • Estimate (Higher)

    Use Fs = ½mv² to estimate forces.

Why Is Wet Worse?

A car's braking distance at 30 mph is 14 m on a dry road and 28 m on a wet road. Explain the difference. Estimate the braking distance on a wet road at 60 mph, where the dry distance is 55 m.

1. Link to friction.

2. Use the ratio.

A good answer shows: Wet roads have less friction so the deceleration is less and the distance is longer. At 60 mph, wet braking distance is about double the dry: about 110 m.

Can I...?

  1. 1Explain braking distance factors.
  2. 2Explain brakes and kinetic energy.
  3. 3Explain why speed matters.
  4. 4Explain wet and icy roads.
  5. 5Explain worn tyres and brakes.
  6. 6Explain brake overheating.
  7. 7Estimate a braking force.
  8. 8Explain dangers of deceleration.

Summary & Exam Focus

  • Braking: work done by friction reduces kinetic energy.
  • Wet or icy roads and worn tyres reduce friction.
  • Higher speed needs a larger braking force.
  • Large decelerations can overheat brakes and cause skids.

Exam focus

Explain why the braking distance of a car is greater on a wet road than on a dry road. (2 marks) (2 marks)

Less friction between the tyres and the road.

Key terms

The vocabulary this lesson expects you to use. Each one is linked from the first place it appears above.

Braking distance
The distance travelled while the brakes slow a vehicle.
Deceleration
A negative acceleration: slowing down.
Friction
A force between surfaces that opposes motion.
Kinetic energy
Energy of a moving object.
Brake fade
Loss of braking power when brakes overheat.
Skid
When tyres lose grip and slide.

Questions and answers

10 questions set on this lesson, with the mark schemes and model answers open.

1. Exam question Explain 2 marks Easier

Explain why the braking distance of a car is greater on a wet road than on a dry road.

Mark scheme — 2 marks available

  • Less friction on a wet road — 1 mark
  • Smaller deceleration, so longer distance — 1 mark

Model answer

There is less friction between the tyres and the wet road, so the braking force (and deceleration) is smaller and the car takes a longer distance to stop.

2. Exam question Use the graph 3 marks Easier

The graph shows the braking distance of a car at different speeds on a dry road and on a wet road. (a) Use the graph to find the braking distance at 50 mph on a wet road. (b) Explain the difference between the two lines.

Braking distance against speed for a car on a dry road and on a wet road.

Mark scheme — 3 marks available

  • About 76 m (accept 72 to 80) — 1 mark
  • Less friction on the wet road — 1 mark
  • So greater braking distance — 1 mark

Model answer

(a) About 76 m. (b) There is less friction between the tyres and a wet road, so the braking distance is greater.

3. Exam question Explain 3 marks Easier

When a car brakes, the brakes become hot. Explain why in terms of energy and work.

Mark scheme — 3 marks available

  • Work done by the friction force — 1 mark
  • Kinetic energy store decreases — 1 mark
  • Thermal energy store of brakes increases — 1 mark

Model answer

The friction force between the brakes and the wheel does work. The kinetic energy of the car decreases and the thermal energy store of the brakes increases.

4. Exam question Calculate 4 marks Easier

A car of mass 1000 kg travelling at 20 m/s is brought to rest in a distance of 40 m. Estimate the average braking force.

Mark scheme — 4 marks available

  • Kinetic energy 200 000 J — 1 mark
  • Work done = Fs — 1 mark
  • Correct substitution — 1 mark
  • 5000 N — 1 mark

Model answer

\(E_k = 0.5 \times 1000 \times 20^2 = 200\,000\) J; \(F = 200\,000 \div 40 = 5000\) N

5. Exam question Explain 3 marks Easier

Explain the dangers of a very large deceleration of a car.

Mark scheme — 3 marks available

  • Brakes overheat — 1 mark
  • Loss of control or skidding — 1 mark
  • Risk of injury — 1 mark

Model answer

A large deceleration needs a large braking force, which can cause the brakes to overheat, the tyres to lose grip and the car to skid, and it may injure the people in the car.

6. Multiple choice 1 mark Easier

Braking distance increases if the road is...

  1. A dry
  2. B flat only
  3. C wet or icy Correct
  4. D new

Why: Less friction.

7. Multiple choice 1 mark Core

When a car brakes, kinetic energy is transferred to...

  1. A chemical energy
  2. B gravitational energy
  3. C nuclear energy
  4. D thermal energy of the brakes Correct

Why: Friction heats the brakes.

8. Multiple choice 1 mark Core

Doubling the speed makes the braking distance about...

  1. A four times greater Correct
  2. B twice as great
  3. C the same
  4. D half

Why: Kinetic energy depends on speed squared.

9. Multiple choice 1 mark Core

Worn tyres cause a...

  1. A shorter braking distance
  2. B longer braking distance Correct
  3. C no change
  4. D higher speed

Why: Less grip.

10. Multiple choice 1 mark Stretch

A very large deceleration can cause...

  1. A more friction
  2. B less force
  3. C brakes to overheat Correct
  4. D a lower speed only

Why: It is dangerous.