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A cyclist is riding a bicycle at a steady velocity of 12 m/s - Edexcel - GCSE Physics - Question 3 - 2018 - Paper 1

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A cyclist is riding a bicycle at a steady velocity of 12 m/s. The cyclist and bicycle have a total mass of 68 kg. (a) Calculate the kinetic energy of the cyclist an... show full transcript

Worked Solution & Example Answer:A cyclist is riding a bicycle at a steady velocity of 12 m/s - Edexcel - GCSE Physics - Question 3 - 2018 - Paper 1

Step 1

Calculate the kinetic energy of the cyclist and bicycle.

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Answer

To calculate the kinetic energy, we use the formula:

KE=12×m×v2KE = \frac{1}{2} \times m \times v^2

Substituting the values:

KE=12×68×(12)2KE = \frac{1}{2} \times 68 \times (12)^2

Calculating this gives:

KE=12×68×144=4896 JKE = \frac{1}{2} \times 68 \times 144 = 4896 \text{ J}

Thus, the kinetic energy of the cyclist and bicycle is approximately 4900 J.

Step 2

Describe the energy transfers that happen when the cyclist uses the brakes to stop.

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Answer

When the cyclist uses the brakes to stop, the kinetic energy of the cyclist and bicycle decreases. This energy does not just disappear; rather, it is transformed into thermal energy. As the brakes are applied, friction occurs between the brake pads and the bicycle wheels, which generates heat. Consequently, the thermal energy (or heat) in the brakes increases, as the energy from motion is converted into heat.

Step 3

Calculate the average force the cyclist exerts.

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Answer

To find the average force, we use the formula:

Work=Force×DistanceWork = Force \times Distance

Rearranging gives:

Force=WorkDistanceForce = \frac{Work}{Distance}

Substituting the values:

Force=1600 J28 m57.14 NForce = \frac{1600 \text{ J}}{28 \text{ m}} \approx 57.14 \text{ N}

Thus, the average force exerted by the cyclist is approximately 57 N.

Step 4

Explain what the displays show about the average power of the athlete in each of these two sessions.

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Answer

To determine the average power for each session, we use the formula:

Power=EnergyTimePower = \frac{Energy}{Time}

For session 1:

Power1=45.2 kJ300 s=0.1507 kWPower_1 = \frac{45.2 \text{ kJ}}{300 \text{ s}} = 0.1507 \text{ kW}

For session 2:

Power2=37.9 kJ300 s=0.1263 kWPower_2 = \frac{37.9 \text{ kJ}}{300 \text{ s}} = 0.1263 \text{ kW}

Therefore, the displays indicate that the athlete developed more power during the first session compared to the second session.

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