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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 journe... 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

To determine the greatest overall change in gravitational potential energy, we compare the heights at various points:

Height at P = 5 m
Height at Q = 35 m
Height at R = 30 m
Height at S = 5 m

The gain in potential energy (PE) from point P to Q is the largest:

$\Delta PE = mgh = 700N (35m - 5m) = 21000 J$

Thus, the correct answer is A P and Q.

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 know:

Total weight (force) = 700 N
Height change (from P to Q) = 35 m - 5 m = 30 m

Using the work done formula:

$Work \; Done = Force \times Distance$

Thus,

$Work \; Done = 700 N \times 30 m = 21000 J$

Therefore, the total work done against gravity when traveling from P to Q is 21000 J.

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