Breaking Force (AQA GCSE Combined Science: Synergy: Physical Sciences): Revision Note

Exam code: 8465

Work done by brakes

  • When a braking force is applied to a vehicle, the friction force between the brakes and wheels does work

  • This transfers energy from the vehicle's kinetic store, reducing its speed

  • The temperature of the brakes increases as energy is transferred to the thermal store

  • The greater the speed of a vehicle, the greater the braking force required to stop it in a given distance

  • The greater the braking force, the greater the deceleration of the vehicle

  • Large decelerations can be dangerous:

    • Brakes may overheat, making them less effective

    • The driver may lose control of the vehicle

Work done by brakes (Higher Tier Only)

Higher Tier Only

  • The work done by the brakes when a vehicle slows to a halt is:

work done by the brakes = braking force x braking distance

  • This is equal to the kinetic energy of the car:

kinetic energy of the car = bevelled 1 half x mass x velocity2

  • This means that the single equation to show the work done by the brakes when a vehicle slows to a halt is

braking force x braking distance = bevelled 1 half x mass x velocity2

braking force x braking distance = bevelled 1 half mv2

  • This equation shows that:

    • The work done is the transfer of kinetic energy

    • The braking distance is proportional to the speed squared (if the speed is doubled, the distance increases 4 times)

  • We can use this equation to estimate the decelerating forces required for a typical vehicle moving at everyday speeds

Worked Example

At 18 m/s (40 mph) the braking distance of a typical car of mass 1500 kg is about 24 m. Use this information to estimate the braking force for a typical car. 

Answer:

Step 1: List the known quantities:

  • Mass, m = 1500 kg

  • Braking distance, s = 24 m

  • Speed, v = 18 m/s

Step 2: State the relevant equation:

braking force x braking distance = bevelled 1 half mv2

Step 3: Rearrange for braking force:

braking force = fraction numerator bevelled 1 half m v squared over denominator braking space distance end fraction

Step 4: Substitute the values into the equation:

braking force = fraction numerator bevelled 1 half cross times 1500 cross times open parentheses 18 close parentheses squared over denominator 24 end fraction

braking force = 10 125 N

Examiner Tips and Tricks

You should be able to deduce from the equation that the braking distance is proportional to the vehicle's speed2. Note, this actually doesn't apply at very high speeds because the brakes get hot and become less effective. This reduces the braking force, causing the braking distance to increase even further.

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