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Two cyclists ride on a hilly road and go through points P, Q, R and S - Edexcel - GCSE Physics - Question 7 - 2021 - Paper 1

Question 7

Two cyclists ride on a hilly road and go through points P, Q, R and S. The diagram in Figure 16 shows how the vertical height of the road changes during the journey... show full transcript

Worked Solution & Example Answer:Two cyclists ride on a hilly road and go through points P, Q, R and S - Edexcel - GCSE Physics - Question 7 - 2021 - Paper 1

Step 1

The greatest overall change in gravitational potential energy for each cyclist is between which two points on the journey?

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Answer

The greatest overall change in gravitational potential energy occurs between points P and Q. This is calculated by assessing the height difference, which is maximum between these points, thus yielding the highest gravitational potential energy change.

Step 2

Calculate the total amount of work done against gravity when the cyclist travels from point P to point Q in the journey.

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Answer

To calculate the work done against gravity, we use the formula:

$W = F imes d$

where:

$W$ is the work done,
$F$ is the force (weight of the cyclist and bicycle), and
$d$ is the distance moved against gravity.

Here, the weight $F = 700N$ and the height difference from P to Q is calculated from the graph as $d = 30m - 15m = 15m$ .

Thus, the work done is:

$W = 700 imes 15 = 10500J$

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