Three students carry out an investigation to determine their powers when running up stairs - Edexcel - GCSE Physics - Question 6 - 2022 - Paper 1
Question 6
Three students carry out an investigation to determine their powers when running up stairs.
(a) Figure 14 shows a diagram of the stairs with four distances, A, B, C... show full transcript
Worked Solution & Example Answer:Three students carry out an investigation to determine their powers when running up stairs - Edexcel - GCSE Physics - Question 6 - 2022 - Paper 1
Step 1
Which distance should be used in the calculation?
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Answer
The distance to be used in calculating the work done against gravity is C, as this reflects the vertical height climbed.
Step 2
State the unit for work done.
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Answer
The unit for work done is Joules (J).
Step 3
Use the data for student B to calculate his estimated weight.
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Answer
To calculate the weight of student B, use the formula for work done, which is given by:
Work=WeightimesDistance
Rearranging gives:
Weight=DistanceWork=4.5m1960J≈435.56N
Thus, the estimated weight of student B is approximately 436 N.
Step 4
Use the data for student C to calculate the time she takes.
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Using the work done formula:
Work=Weight×Distance
We can calculate the time taken by student C using:
Power=TimeWork
Thus rearranging gives:
Time=PowerWork=510N2040J=4.0s
Therefore, student C takes 4.0 seconds.
Step 5
Use the data for all three students to calculate the average power of the students.
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The average power is calculated by summing up the powers and dividing by the number of students:
First, find the total power:
440W+436W+425W=1301W
Then, divide by the number of students:
AveragePower=31301W≈433.67W
So the average power of the students is approximately 434 W.
Step 6
Identify a significant source of error and state how this error can be reduced.
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A significant source of error could be the estimation of weight. This error can be reduced by using scales to measure actual weight accurately.