AQA GCSE Combined Science: Trilogy Physics Paper 2 (Higher), 2019: Question 6
9 marks · Standard Demand difficulty · Extended Answer
Explain how the forces on an aeroplane must change for it to land and calculate the mass of the aeroplane from its deceleration and resultant force.
Practise this questionQuestion
Question text
06 Figure 9 shows a free body diagram for an aeroplane flying at a constant speed and
at a constant height.
The speed of the aeroplane is much greater than the speed at which the
aeroplane lands.
Figure 9
06.1 Explain how the forces need to change so the aeroplane can land.
[4 marks]
06.2 The aeroplane lands at a speed of 80 m/s
After landing, the aeroplane takes 28 s to decelerate to a speed of 10 m/s
The mean resultant force on the aeroplane as it decelerates is 750 000 N
Calculate the mass of the aeroplane.
[5 marks]
Mass = kg
Mark scheme
Show the mark scheme
AO /
Question Answers Extra information Mark ID
Spec. Ref.
1xAO1
06.1 thrust decreases allow air resistance or drag 1 1xAO2 E
increases 2xAO3
6.5.4.2.1
ignore air resistance decreases
as speed decreases
so there is a resultant force in allow so air resistance or drag is 1
opposite direction greater than thrust
lift must decrease (because 1
weight stays the same)
so there is a resultant allow so weight is greater than 1
downwards force lift
the last two marking points
cannot be awarded if there is a
reference to the weight
increasing
an answer of 300 000 (kg) AO2
06.2 scores 5 marks 6.5.4.1.5 E
6.5.4.2.2
(10-80) (80-10)
a = allow a = 1
28 28
a = (–)2.5 (m/s2) a valid equation must have been 1
used to calculate a to score
subsequent marks
(–) 750 000 = m × (–)2.5 allow a correct substitution using 1
their calculated value of a
(-)750 000 allow a correct rearrangement 1
m = using their calculated value of a
(-)2.5
m = 300 000 (kg) allow a correct calculation using 1
their calculated value of a
Total 9
How to answer it
Aeroplane Forces and Deceleration
Applying force diagrams to a changing situation, explaining resultant force, and using force = mass × acceleration with a deceleration calculation. You need to identify which forces change, describe the direction of the resultant force, and show a clear multi-step calculation with correct units.
Aeroplane landing: changing forces and finding mass
Overall focus: forces, resultant force, and Newton’s second law
This is a standard GCSE physics-style question: part 06.1 is explanation, and part 06.2 is a calculation. Top marks come from clear force language and careful rearrangement.
Part 06.1 — Explain how the forces need to change so the aeroplane can land
✅ Correct answers
- Thrust decreases.
- This gives a resultant force opposite to the direction of motion so the plane slows down.
- Lift decreases because the plane is no longer needing to stay at constant height.
- This means there is a resultant downward force.
To get all 4 marks, students needed both horizontal and vertical changes.
💡 Key knowledge
- At constant speed and constant height, forces are balanced.
- For landing, the plane must slow down and descend.
- If thrust is reduced, air resistance can become greater than thrust, so the plane decelerates.
- If lift is reduced while weight stays the same, weight becomes greater than lift, so the plane moves downward.
🧠 Exam technique
- Use the word resultant to show you understand unbalanced forces.
- Link each force change to the effect: thrust down → slows down, lift down → descends.
- Think in pairs: thrust vs air resistance, lift vs weight.
❌ Common errors
- Saying only “the plane slows down” without explaining how the forces change.
- Writing that weight increases — the mark scheme says this is not correct here.
- Mixing up lift and weight.
- Forgetting to state that the resultant force must be downwards for landing.
📐 Model 4-mark answer
Thrust decreases, so there is a resultant force opposite to the direction of motion and the aeroplane slows down. Lift decreases, while weight stays the same, so weight becomes greater than lift. This gives a resultant downward force so the aeroplane descends and can land.
Why this gets full marks: it includes both changes, both resultant forces, and clear cause-and-effect reasoning.
Part 06.2 — Calculate the mass of the aeroplane
💡 Key knowledge
- Use force = mass × acceleration.
- Rearrange to mass = force ÷ acceleration.
- Because the aeroplane is slowing down, acceleration is negative.
- In GCSE exam questions, correct handling of signs and units is essential.
🧠 Exam technique
- Write the formula first.
- Calculate acceleration before using force = mass × acceleration.
- Show every stage clearly: substitution, rearrangement, final answer.
- Include the unit kg in the final answer.
❌ Common errors
- Forgetting that the speed change is from 80 m/s to 10 m/s.
- Using 80 + 10 instead of finding the change in speed.
- Not dividing by time correctly.
- Leaving the answer in N instead of kg.
- Ignoring the negative sign and losing method marks.
📐 Step-by-step calculation
- Find the acceleration:
a = (final speed − initial speed) ÷ time
a = (10 − 80) ÷ 28 - Calculate:
a = −70 ÷ 28 = −2.5 m/s² - Use force = mass × acceleration:
750 000 = m × (−2.5) - Rearrange for mass:
m = 750 000 ÷ 2.5 - Answer:
m = 300 000 kg
✅ Correct answer
Mass = 300 000 kg
The mark scheme allows 300 000 kg even if a student uses the negative acceleration correctly, because mass is a positive quantity.
🧠 Why this earns 5 marks
- 1 mark for a correct acceleration equation.
- 1 mark for finding a = −2.5 m/s² .
- 1 mark for substituting into F = ma .
- 1 mark for rearranging correctly to find mass.
- 1 mark for the final correct value 300 000 kg .
❌ Calculation traps to avoid
- Trap 1: using the wrong speed order — it should be final minus initial for acceleration.
- Trap 2: forgetting that deceleration means the acceleration is negative.
- Trap 3: writing 750 000 = 2.5m without showing the sign or rearrangement clearly.
- Trap 4: giving the answer in the wrong unit.
Examiner insight: what made the difference?
💡 What strong answers did
- Named the force changes directly: thrust decreases, lift decreases.
- Explained the result: resultant force opposite direction of motion and resultant downward force.
- Used clear physics vocabulary rather than vague phrases.
- Showed a full calculation chain in 06.2.
❌ Where students lost marks
- Only describing the plane landing, not the forces.
- Saying weight increases, which the mark scheme rejects.
- Doing the maths but not showing the equation or rearrangement.
- Mixing up the direction of the resultant force.
Topics
Physics · P5: Forces
Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Higher), 2019. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.