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2 (a) A cyclist has a mass of 64 kg - Edexcel - GCSE Physics Combined Science - Question 2 - 2021 - Paper 1

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2 (a) 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 gai... show full transcript

Worked Solution & Example Answer:2 (a) A cyclist has a mass of 64 kg - Edexcel - GCSE Physics Combined Science - Question 2 - 2021 - Paper 1

Step 1

Calculate the gain in gravitational potential energy, ΔGPE, of the cyclist.

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Answer

To calculate the gain in gravitational potential energy, we use the formula:
ΔGPE=m×g×Δh\Delta GPE = m \times g \times \Delta h
Where:

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

Substituting the values into the equation:
ΔGPE=64×10×24=15,360 J\Delta GPE = 64 \times 10 \times 24 = 15,360 \text{ J}
Thus, the gain in gravitational potential energy is 15,360 J.

Step 2

Calculate the kinetic energy of the cyclist when the cyclist is travelling at 6.0 m/s.

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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
Where:

  • m = mass of the cyclist = 64 kg
  • v = velocity = 6.0 m/s

Substituting the values into the equation:
KE=12×64×(6)2=12×64×36=1,152 JKE = \frac{1}{2} \times 64 \times (6)^2 = \frac{1}{2} \times 64 \times 36 = 1,152 \text{ J}
Thus, the kinetic energy of the cyclist is 1,152 J.

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