The mass of the girl was 60.0 kg - AQA - GCSE Physics - Question 9 - 2022 - Paper 1
Question 9
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=mgh
Substituting the values:
Ep=60.0extkg×9.8extN/kg×1.75extm=1029extJ.
Step 3
Calculate the power output
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Answer
Power is given by the formula:
P=tEp
Substituting the calculated energy and the time:
P=1.40exts1029extJ=735extW.
Therefore, the power output of the girl is 735 W.