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A cyclist has a mass of 64 kg - Edexcel - GCSE Physics - Question 4 - 2021 - Paper 1

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A cyclist has a mass of 64 kg. (i) The cyclist rides from a flat road to the top of a hill. The top of the hill is 24 m above the flat road. Calculate the gain in ... show full transcript

Worked Solution & Example Answer:A cyclist has a mass of 64 kg - Edexcel - GCSE Physics - Question 4 - 2021 - Paper 1

Step 1

The cyclist rides from a flat road to the top of a hill.

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Answer

To calculate the gain in gravitational potential energy (ΔGPE), we will use the formula:

ΔGPE=m×g×ΔhΔGPE = m × g × Δh

Where:

  • m = mass of the cyclist = 64 kg
  • g = acceleration due to gravity = 10 N/kg
  • Δh = height gained = 24 m

Now, substituting the values into the equation:

ΔGPE=64extkg×10extN/kg×24extm=15,360extJΔGPE = 64 ext{ kg} × 10 ext{ N/kg} × 24 ext{ m} = 15,360 ext{ J}

Therefore, the gain in gravitational potential energy is 15,360 J.

Step 2

The cyclist returns to the flat road.

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Answer

The question does not require any calculations or additional energy considerations for part (ii), as it simply states the fact of the cyclist returning, which does not involve a numerical response.

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