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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) Wh... 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 the car travels while coming to a complete stop, which is the sum of the thinking distance and the braking distance. Given the thinking distance is 9 meters and the braking distance is 14 meters, the stopping distance can be calculated as follows:

Stopping Distance = Thinking Distance + Braking Distance

Stopping Distance = 9 m + 14 m = 23 m

Thus, the correct answer is D 23 m.

Step 2

Complete the sentence by putting a cross (✔) in the box next to your answer.

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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 impair the driver's reaction time, leading to a longer thinking distance before the brakes are applied.

Step 3

Calculate the momentum of the car.

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Answer

Momentum (p) is calculated using the formula:

p=mimesvp = m imes v

where:

  • mm = mass of the car = 800 kg
  • vv = velocity of the car = 3.0 m/s

Substituting the values:

p=800extkgimes3.0extm/s=2400extkgm/sp = 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

The work done (W) by a force is given by the formula:

W=FimesdW = F imes d

where:

  • FF = force = 600 N
  • dd = distance = 15 m

Substituting the values:

W=600extNimes15extm=9000extJW = 600 ext{ N} imes 15 ext{ m} = 9000 ext{ J}

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

Step 5

Complete the sentence by putting a cross (✔) in the box next to your answer.

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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 by the brakes is the energy needed to stop the car, transforming kinetic energy into heat and other forms.

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