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3 (a) The power of a car engine is measured in watts, W - Edexcel - GCSE Physics - Question 3 - 2018 - Paper 1

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3 (a) The power of a car engine is measured in watts, W. Complete the following sentence by putting a cross (X) in the box next to your answer. 1 watt, W, is the sa... show full transcript

Worked Solution & Example Answer:3 (a) The power of a car engine is measured in watts, W - Edexcel - GCSE Physics - Question 3 - 2018 - Paper 1

Step 1

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

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Answer

1 watt, W, is the same as C. 1 joule per second, J/s. This is because power is defined as the rate at which work is done, where 1 watt equals 1 joule of energy transferred per second.

Step 2

(i) Calculate the work done by the driving force over this distance.

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Answer

To calculate the work done (W), we use the formula:

W=FimesdW = F imes d

where:

  • F is the force applied (1400 N)
  • d is the distance traveled (6.0 m)

Thus, substituting the values:

W=1400extNimes6.0extm=8400extJW = 1400 ext{ N} imes 6.0 ext{ m} = 8400 ext{ J}

The work done by the driving force is 8400 J.

Step 3

(ii) Calculate the kinetic energy of the car.

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Answer

The formula for kinetic energy (KE) is given by:

KE = rac{1}{2} mv^2

where:

  • m is the mass of the car (1200 kg)
  • v is the velocity of the car (20 m/s)

Substituting the values into the formula:

KE = rac{1}{2} imes 1200 ext{ kg} imes (20 ext{ m/s})^2 KE = rac{1}{2} imes 1200 ext{ kg} imes 400 ext{ m}^2/ ext{s}^2 KE=240000extJKE = 240000 ext{ J}

The kinetic energy of the car is 240000 J.

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