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Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s A cyclist travels down a slope - Edexcel - GCSE Physics Combined Science - Question 4 - 2019 - Paper 1

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Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s A cyclist travels down... show full transcript

Worked Solution & Example Answer:Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s A cyclist travels down a slope - Edexcel - GCSE Physics Combined Science - Question 4 - 2019 - Paper 1

Step 1

Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope?

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Answer

A typical speed for a racing cyclist would be C, 20 m/s, as it is realistic for competitive cycling.

Step 2

Calculate the change in gravitational potential energy of the cyclist between the top and the bottom of the slope.

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Answer

To calculate the change in gravitational potential energy (GPE), we use the formula:

GPE=mimesgimeshGPE = m imes g imes h

where:

  • m is the mass of the cyclist (75 kg),
  • g is the gravitational field strength (10 N/kg),
  • h is the height of the slope (20 m).

Substituting the values:

GPE=75imes10imes20=15000extJGPE = 75 imes 10 imes 20 = 15000 ext{ J}

Step 3

Calculate the distance, x, travelled by the aircraft while it is accelerating.

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Answer

Using the equation:

x=v2u22ax = \frac{v^2 - u^2}{2a}

where:

  • v = 80 m/s,
  • u = 0 m/s,
  • a = 4 m/s².

Substituting the values:

x=(80)2(0)22×4=64008=800extmx = \frac{(80)^2 - (0)^2}{2 \times 4} = \frac{6400}{8} = 800 ext{ m}

Step 4

One piece of apparatus is missing from the diagram.

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Answer

The extra piece of apparatus needed to determine the average speed is a stopwatch.

Step 5

Describe how the student can make the trolley accelerate along the bench.

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Answer

The student can make the trolley accelerate by adding a weight to one end of the string attached to the trolley. This weight will pull the trolley down the slope of the bench due to gravity.

Step 6

State one other measurement that the student must make to determine the acceleration of the trolley.

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Answer

The student must measure the time taken for the trolley to travel a known distance.

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