Breaking Force (AQA GCSE Combined Science: Synergy: Physical Sciences): Revision Note
Exam code: 8465
Written by: Ashika
Updated on
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 = 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 = x mass x velocity2
braking force x braking distance = 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 = mv2
Step 3: Rearrange for braking force:
braking force =
Step 4: Substitute the values into the equation:
braking force =
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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