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The mass of the girl was 60.0 kg - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

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The mass of the girl was 60.0 kg. The height of the stairs was 175 cm. The girl ran to the top of the stairs in 1.40 s. gravitational field strength = 9.8 N/kg Calcu... show full transcript

Worked Solution & Example Answer:The mass of the girl was 60.0 kg - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

Step 1

Calculate the height in meters

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Answer

Convert the height from centimeters to meters: h = 175 ext{ cm} = 1.75 ext{ m}.

Step 2

Calculate the gravitational potential energy

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Answer

Use the formula for gravitational potential energy:

Ep=mghE_p = mgh Substituting the values: Ep=60.0extkg×9.8extN/kg×1.75extm=1029extJ.E_p = 60.0 ext{ kg} \times 9.8 ext{ N/kg} \times 1.75 ext{ m} = 1029 ext{ J}.

Step 3

Calculate the power output

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Answer

Power is given by the formula:

P=EptP = \frac{E_p}{t} Substituting the calculated energy and the time: P=1029extJ1.40exts=735extW.P = \frac{1029 ext{ J}}{1.40 ext{ s}} = 735 ext{ W}. Therefore, the power output of the girl is 735 W.

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