AQA GCSE Physics Physics Paper 2 (Higher), November 2021: Question 7

13 marks · High Demand difficulty · Short Answer

Analyze forces, velocity-time graph distance, moments, acceleration, and vector diagrams for a cyclist and trailer across multiple parts.

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Question

Five-part physics question about a cyclist. Part 07.1 asks for the name of force A between the bicycle tyre and ground. Part 07.2 asks to determine distance between Y and Z from a velocity-time graph. Part 07.3 asks to describe moments using bicycle gears. Part 07.4 asks to calculate initial acceleration given speed and distance. Part 07.5 asks to determine magnitude and direction of a resultant force by drawing a vector diagram on a grid for horizontal force 200 N and vertical force 75 N.
Question text

07 Figure 11 shows a cyclist riding a bicycle.

Force A causes the bicycle to accelerate forwards.

Figure 11

07.1 What name is given to force A?

[1 mark]

Figure 12 shows how the velocity of the cyclist changes during a short journey.

Figure 12

07.2 Determine the distance travelled by the cyclist between Y and Z.

[3 marks]

Distance travelled by the cyclist between Y and Z = m

07.3 Figure 13 shows the gears on the bicycle.

Figure 13

Describe how the force on the pedal causes a moment about the rear axle.

[2 marks]

Figure 14 shows a different cyclist towing a trailer.

Figure 14

07.4 The speed of the cyclist and trailer increased uniformly from 0 m/s to 2.4 m/s.

The cyclist travelled 0.018 km while accelerating.

Calculate the initial acceleration of the cyclist.

[3 marks]

29 2

Acceleration = m/s

07.5 The resultant force of the towbar on the trailer has a horizontal component and a

vertical component.

horizontal force = 200 N

vertical force = 75 N

Determine the magnitude and direction of the resultant force of the towbar on the

trailer by drawing a vector diagram.

[4 marks]

Magnitude of force = N

Direction of force = degrees

Mark scheme

Show the mark scheme Mark scheme for question 7 showing answers for 07.1 (friction, 1 mark), 07.2 (area calculation resulting in 162 m, 3 marks), 07.3 (moments about pedal and rear axle, 2 marks), 07.4 (acceleration calculation resulting in 0.16 m/s2, 3 marks), and 07.5 (vector diagram with magnitude 214 N and direction 21 degrees, 4 marks).

Question 7

AO /

Question Answers Extra information Mark

Spec. Ref.

07.1 friction 1 AO1

4.5.1.2

07.2 (area of rectangle = ) 108 (m) 1 AO2

4.5.6.1.5

(area of triangle = ) 54 (m) 1

(total area / distance = ) 162 (m) allow a correctly calculated total 1

area / distance from an

incorrectly calculated area of

rectangle and / or triangle

07.3 (the force on the pedal) causes 1 AO1

a moment about the pedal axle 4.5.4

which causes a force on the allow gear B for chain 1

chain (which causes a moment

about the rear axle)

07.4 2.42 (– 02) = 2 × a × 18 1 AO2

4.5.6.1.5

a = 2.4 × 2.4 1

a = 0.16 (m/s2) 1

alternative method

t = 18 / 1.2

t = 15 (s) (1)

a = 2.4 / 15 (1) this mark may be awarded if the

time is incorrectly calculated

a = 0.16 (m/s2) (1) allow a correctly calculated

acceleration from an incorrectly

calculated time

07.5 AO2

horizontal (200N) and vertical 1 4.5.1.4

18 (75N) forces drawn to the same

scale

resultant force drawn in the shown by an arrow head from 1

correct direction bottom right to top left

resultant force with a value in allow a calculated value of 213.6 1

the range 212 to 218 (N) or 214 (N)

direction in the range 20–22 allow 68–70 (degrees from the 1

(degrees from the horizontal) vertical)

allow a bearing in the range

290–292

to gain full marks a vector

diagram must have been drawn

Total 13

How to answer it

Forces, Velocity-Time Graphs & Vectors Study Guide

What this question tests

This question assesses core mechanics topics from AQA GCSE Physics: identifying contact forces, calculating distance from velocity-time graphs (area under graph), moments acting through mechanical systems (gears and chains), applying equations of motion involving uniform acceleration, and determining resultant forces using scale vector diagrams.

Question 07.1

Contact Forces on a Bicycle

✅ Correct Answer

friction (accept tyre friction / grip)

💡 Key Knowledge

Force A acts between the rear tyre and the road surface. For a bicycle to accelerate forwards, there must be a forward traction force provided by friction acting on the driving wheel.

❌ Common Errors

Students often incorrectly write "air resistance", "gravity", or "push". Remember that driving force forwards on wheels is always due to friction.

Mark allocation: 1 mark
Question 07.2

Distance Travelled from a Velocity-Time Graph

✅ Correct Answer

Total distance = 162 m

📐 Step-by-Step Calculation

  1. Identify region: Between Y (t = 30 s, v = 5.4 m/s) and Z (t = 70 s, v = 0 m/s).
  2. Split shape: Break the area under the graph into a rectangle and a triangle.
  3. Rectangle area (t = 30 to 50 s): Width (20 s) × Height (5.4 m/s) = 108 m
  4. Triangle area (t = 50 to 70 s): 0.5 × Base (20 s) × Height (5.4 m/s) = 54 m
  5. Total distance: 108 + 54 = 162 m

🧠 Exam Technique

Always state your breakdown clearly (area of rectangle + area of triangle). Examiners award method marks even if arithmetic slips, provided the geometric approach is sound.

Mark allocation: 3 marks
Question 07.3

Moments in Gear Systems

✅ Correct Answer

  1. The force on the pedal causes a moment about the pedal axle.
  2. This creates a tension force in the chain, which causes a moment about the rear axle.

💡 Key Knowledge

A moment is the turning effect of a force, calculated as Force × perpendicular distance from the pivot . Here, energy is transferred mechanically through rotation, linking the pedal axle via the chain to the rear wheel axle (Gear B).

❌ Common Errors

Vague answers like "it turns the wheel" fail to gain credit. You must explicitly reference the chain transmitting the force/tension to create a secondary moment at the rear axle.

Mark allocation: 2 marks
Question 07.4

Calculating Initial Acceleration

✅ Correct Answer

Acceleration = 0.16 m/s²

📐 Step-by-Step Calculation

  1. Select equation: v² - u² = 2as (where v = 2.4 m/s, u = 0, s = 18 m).
  2. Substitute values: 2.4² - 0² = 2 × a × 18
  3. Simplify: 5.76 = 36a
  4. Rearrange & Solve: a = 5.76 / 36 = 0.16 m/s²
  5. Alternative method: Use kinematic equations to find time first (t = 15 s), then use a = Δv / t. Both score full marks.

❌ Common Errors

Forgetting to square the velocity term ( v² ) is a major trap. Always double-check that you are using the correct kinematic formula when time is not provided.

Mark allocation: 3 marks
Question 07.5

Scale Vector Diagrams for Resultant Forces

✅ Correct Answer

Magnitude: 212 N to 218 N (or 214 N)
Direction: 20° to 22° from the horizontal (or 68°–70° from vertical / valid bearing 290°–292°)

🧠 Exam Technique & Construction

  1. Choose a scale: e.g., 1 cm = 20 N (so 200 N = 10 cm, 75 N = 3.75 cm).
  2. Draw components: Draw a horizontal arrow representing 200 N, and a vertical arrow representing 75 N head-to-tail.
  3. Complete triangle/parallelogram: Draw the resultant vector from the start point to the end point with an arrowhead pointing top-left.
  4. Measure: Measure length with a ruler to convert back via your scale, and measure the angle using a protractor.

❌ Common Errors

Failing to include directional arrowheads on the resultant line, or measuring the angle from the wrong axis (e.g., using vertical instead of horizontal without stating it clearly).

Mark allocation: 4 marks

Topics

Physics · P5: Forces

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 2 (Higher), November 2021. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.