Photo AI

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

Question icon

Question 2

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

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 t... 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

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

96%

114 rated

Answer

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

ΔGPE=m×g×ΔhΔGPE = m × g × Δh

Substituting the values into the equation:

  • Mass (m) = 64 kg
  • Gravitational field strength (g) = 10 N/kg
  • Height change (Δh) = 24 m

Calculating:

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

The gain in gravitational potential energy is therefore 15,360 J.

Step 2

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

99%

104 rated

Answer

To calculate the kinetic energy (KE), we can use the formula:

KE = rac{1}{2} × m × v^2

Substituting the values into the equation:

  • Mass (m) = 64 kg
  • Velocity (v) = 6.0 m/s

Calculating:

KE = rac{1}{2} × 64 ext{ kg} × (6.0 ext{ m/s})^2 = rac{1}{2} × 64 × 36 = 1,152 ext{ J}

The kinetic energy of the cyclist is therefore 1,152 J.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;