A cyclist is riding a bicycle at a steady velocity of 12 m/s - Edexcel - GCSE Physics - Question 3 - 2018 - Paper 1
Question 3
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=21×m×v2
Substituting the values:
KE=21×68×(12)2
Calculating this gives:
KE=21×68×144=4896 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×Distance
Rearranging gives:
Force=DistanceWork
Substituting the values:
Force=28 m1600 J≈57.14 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=TimeEnergy
For session 1:
Power1=300 s45.2 kJ=0.1507 kW
For session 2:
Power2=300 s37.9 kJ=0.1263 kW
Therefore, the displays indicate that the athlete developed more power during the first session compared to the second session.