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Three students carry out an investigation to determine their powers when running up stairs - Edexcel - GCSE Physics - Question 6 - 2022 - Paper 1

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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=WeightimesDistanceWork = Weight imes Distance

Rearranging gives:

Weight=WorkDistance=1960J4.5m435.56NWeight = \frac{Work}{Distance} = \frac{1960 J}{4.5 m} \approx 435.56 N

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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Answer

Using the work done formula:

Work=Weight×DistanceWork = Weight \times Distance

We can calculate the time taken by student C using:

Power=WorkTimePower = \frac{Work}{Time}

Thus rearranging gives:

Time=WorkPower=2040J510N=4.0sTime = \frac{Work}{Power} = \frac{2040 J}{510 N} = 4.0 s

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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Answer

The average power is calculated by summing up the powers and dividing by the number of students:

  1. First, find the total power: 440W+436W+425W=1301W440 W + 436 W + 425 W = 1301 W

  2. Then, divide by the number of students: AveragePower=1301W3433.67WAverage Power = \frac{1301 W}{3} \approx 433.67 W

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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Answer

A significant source of error could be the estimation of weight. This error can be reduced by using scales to measure actual weight accurately.

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