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Figure 10 shows a girl doing an experiment to determine her power output by running to the top of some stairs - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

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Figure 10 shows a girl doing an experiment to determine her power output by running to the top of some stairs. The mass of the girl was 60.0 kg. The height of the ... show full transcript

Worked Solution & Example Answer:Figure 10 shows a girl doing an experiment to determine her power output by running to the top of some stairs - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

Step 1

Calculate the gravitational potential energy (GPE)

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Answer

The gravitational potential energy can be calculated using the formula:

Ep=mimesgimeshE_p = m imes g imes h

Substituting the values:

  • Mass (m) = 60.0 kg
  • Gravitational field strength (g) = 9.8 N/kg
  • Height (h) = 175 cm = 1.75 m

Thus,

Ep=60.0imes9.8imes1.75=1029extJE_p = 60.0 imes 9.8 imes 1.75 = 1029 ext{ J}

Step 2

Calculate the power output

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Answer

Power (P) can be calculated using the formula:

P=EptP = \frac{E_p}{t}

where:

  • EpE_p = 1029 J
  • tt = 1.40 s

Thus,

P=10291.40=735extWP = \frac{1029}{1.40} = 735 ext{ W}

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