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The Highway Code gives this information about the stopping distance of a car - Edexcel - GCSE Physics - Question 1 - 2012 - Paper 1

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The Highway Code gives this information about the stopping distance of a car. speed = 30 miles per hour thinking distance = 9 m braking distance = 14 m (a) (i) Wha... show full transcript

Worked Solution & Example Answer:The Highway Code gives this information about the stopping distance of a car - Edexcel - GCSE Physics - Question 1 - 2012 - Paper 1

Step 1

What is the stopping distance?

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Answer

The stopping distance is the total distance a vehicle travels from the moment the driver recognizes the need to stop until the car comes to a complete stop. It can be calculated by adding the thinking distance and braking distance. Given:

  • Thinking distance = 9 m
  • Braking distance = 14 m

Thus, the stopping distance is:

extStoppingDistance=extThinkingDistance+extBrakingDistance=9extm+14extm=23extm ext{Stopping Distance} = ext{Thinking Distance} + ext{Braking Distance} = 9 ext{ m} + 14 ext{ m} = 23 ext{ m}

So the answer is D 23 m.

Step 2

Complete the sentence regarding thinking distance.

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Answer

The driver’s thinking distance is most likely to increase when A the driver is tired. This is because fatigue can slow reaction times, leading to a longer thinking distance before braking.

Step 3

Calculate the momentum of the car.

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Answer

Momentum is calculated using the formula:

extMomentum=extmassimesextvelocity ext{Momentum} = ext{mass} imes ext{velocity}

Given:

  • Mass = 800 kg
  • Velocity = 3.0 m/s

So:

extMomentum=800extkgimes3.0extm/s=2400extkgm/s ext{Momentum} = 800 ext{ kg} imes 3.0 ext{ m/s} = 2400 ext{ kg m/s}

Thus, the momentum of the car is 2400 kg m/s.

Step 4

Calculate the work done by the braking force.

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Answer

Work done is calculated using the formula:

extWork=extForceimesextDistance ext{Work} = ext{Force} imes ext{Distance}

Given:

  • Force = 600 N
  • Distance = 15 m

So:

extWork=600extNimes15extm=9000extJ ext{Work} = 600 ext{ N} imes 15 ext{ m} = 9000 ext{ J}

Hence, the work done by the braking force is 9000 J.

Step 5

Complete the sentence regarding work done by the brakes.

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Answer

The work done by the brakes during braking is equal to A the energy transferred. This is because the work done on an object is equivalent to the energy transferred to stop it.

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