AQA GCSE Combined Science: Trilogy Physics Paper 2 (Higher), 2020: Question 3

8 marks · Standard Demand difficulty · Multiple Choice

Answer multiple-choice, short-answer, and calculation questions about elastic and inelastic deformation of springs, including using Hooke's law to find spring constant.

Practise this question

Question

The question page shows Question 03 about springs in a computer keyboard. At the top is a photograph of a keyboard labeled Figure 5, followed by 03.1, a one-mark multiple-choice question asking what is meant by elastic behaviour, with four tick-box options including that the spring returns to its original length when the force is removed. Question 03.2 asks for two properties that should be the same for each spring, with two blank answer lines. Figure 6 is a labelled diagram of a keyboard key above a vertical spring and an electrical contact switch; a distance of 0.0040 m is marked next to the spring, and the text states that the key must be pressed with a minimum force of 0.80 N before the key touches the switch, then asks for the spring constant in N/m for 3 marks. Figure 7 shows a spring hanging from a support with slotted masses attached and states that the spring is stationary and has been stretched beyond its limit of proportionality; 03.4 asks which two statements are true, with five tick-box options about elastic potential energy, proportionality of extension to force, balanced forces, further stretching, and inelastic deformation.
Question text

03 Figure 5 shows a computer keyboard.

There is a spring under each key.

Figure 5

03.1 The springs behave elastically when a force is applied.

What is meant by elastic behaviour?

[1 mark]

Tick ( ) one box.

The spring will be compressed when the force is applied to it.

The spring will become deformed when the force is applied to it.

The spring will become longer when the force is removed.

The spring will return to its original length when the force is removed.8

03.2 Suggest two properties that should be the same for each spring.

[2 marks]

*07* 2

03.3 Figure 6 shows one of the keys and its spring.

Figure 6

The key must be pressed with a minimum force of 0.80 N before the key touches

the switch.

Calculate the spring constant of the spring in Figure 6.

[3 marks]

Spring constant =9 N/m

03.4 Figure 7 shows a spring that has been hung from a support.

The spring is stationary and has been stretched beyond its limit of proportionality.

Figure 7

Which two statements are true for the spring in Figure 7?

[2 marks]

Tick ( ) two boxes.

The elastic potential energy of the spring is zero.

The extension of the spring is directly proportional to the force applied.

The upward force on the spring is equal to the downward force.

The spring cannot be stretched any further.

The spring is inelastically deformed.

Mark scheme

Show the mark scheme The mark scheme is a table with columns for question number, answers, extra information, mark, and AO/specification reference. For 03.1, the correct answer is that the spring will return to its original length when the force is removed. For 03.2, any two of spring constant, original length, and diameter gain marks. For 03.3, marks are awarded for using 0.80 = k × 0.0040, then rearranging to k = 0.80 / 0.0040, and obtaining k = 200 N/m. For 03.4, the two correct statements are that the upward force on the spring is equal to the downward force and that the spring is inelastically deformed. Total marks are 8.

AO /

question Answers Extra information Mark

Spec. Ref.

03.1 the spring will return to its 1 AO1

original length when the force is 6.5.3

removed

Any two from:

03.2 2 AO3

• spring constant 6.5.3

• (original) length

• diameter

03.3 0.80 = k × 0.0040 1 AO2

6.5.3

0.80 1

k =

0.0040

k = 200 (N/m)

03.4 the upward force on the spring 1 AO3

is equal to the downward force 6.5.3

the spring is inelastically 1

deformed

Total 8

How to answer it

Spring behaviour in a keyboard

What this question tests

Understanding elastic behaviour, identifying key properties of springs, using Hooke’s law, and recognising what happens when a spring is beyond the limit of proportionality. You also need to read values from a diagram, use units correctly, and pick the best statements from a list.

Overall focus: springs, elasticity and Hooke’s law

This is a very direct GCSE question. Most marks come from simple recall and one short calculation. Full marks are awarded for using the correct physics language and the correct equation.

Part 03.1 — Elastic behaviour

Tick the correct statement

✅ Correct answer

The spring will return to its original length when the force is removed.

1 mark for selecting the statement that describes elastic behaviour.

💡 Key knowledge

  • Elastic means an object returns to its original shape or length after the force is removed.
  • A spring can be stretched or compressed and still be elastic, as long as it returns to its starting length.

🧠 Exam technique

  • Look for the idea of returning to original length.
  • Do not choose answers that only say the spring changes shape — that is too vague.

❌ Common errors

  • Choosing “the spring will become deformed” is wrong because it does not say it recovers.
  • Choosing “the spring will become longer when the force is removed” is the opposite of elastic behaviour.

Part 03.2 — Properties that should be the same

Suggest two properties that should be the same for each spring

✅ Correct answers

  • spring constant
  • (original) length
  • diameter

Any two of these gained the 2 marks.

💡 Key knowledge

If the springs are meant to behave the same way in the keyboard, they need matching physical properties. The mark scheme accepted:

  • same spring constant — so they need the same force for the same extension
  • same original length
  • same diameter

🧠 Exam technique

  • You only need two properties.
  • Write clear, science-based terms: for example, “diameter” is better than “size”.
  • Marks are for matching the mark scheme idea, not for explaining in detail.

❌ Common errors

  • Writing “same force” or “same pressure” — these are not properties of the spring itself.
  • Giving only one property.
  • Using vague words like “same shape” without a specific measurable property.

Part 03.3 — Calculating the spring constant

Minimum force = 0.80 N, extension = 0.0040 m

📐 Calculation steps

  1. Use Hooke’s law: F = kx
  2. Substitute the values: 0.80 = k × 0.0040
  3. Rearrange: k = 0.80 ÷ 0.0040
  4. Calculate: k = 200
  5. State the unit: N/m

Spring constant = 200 N/m

✅ Correct answer

200 N/m

3 marks were available: one for the correct equation, one for rearranging, and one for the final answer with unit.

💡 Key knowledge

  • Hooke’s law: force is proportional to extension, so F = kx .
  • k is the spring constant.
  • Extension must be in metres, not cm or mm.

🧠 Exam technique

  • Always include the equation before substituting values — this is often where the first mark is earned.
  • Check units carefully: N/m is required.
  • Use the numbers exactly as given: 0.80 N and 0.0040 m.

❌ Common errors

  • Using k = F + x or dividing in the wrong order.
  • Forgetting to convert the extension into metres.
  • Writing the answer without units.
  • Using 0.04 m instead of 0.0040 m .

Part 03.4 — Springs beyond the limit of proportionality

Tick two true statements

✅ Correct answers

  • The upward force on the spring is equal to the downward force.
  • The spring is inelastically deformed.

These two statements match the mark scheme exactly.

💡 Key knowledge

  • If the spring is stationary, the forces are balanced: upward force = downward force.
  • Beyond the limit of proportionality, extension is no longer directly proportional to force.
  • If the spring has been stretched beyond this point, it is inelastically deformed and may not return to its original shape.

🧠 Exam technique

  • Use the clue stationary — this tells you the forces must balance.
  • Do not confuse limit of proportionality with breaking point.
  • Pick statements that describe both the forces and the condition of the spring.

❌ Common errors

  • “The extension is directly proportional to the force applied” is false because the spring is beyond the limit of proportionality.
  • “The spring cannot be stretched any further” is not guaranteed by the information given.
  • “The elastic potential energy of the spring is zero” is wrong because the spring is stretched.

Quick mark-scheme summary

✅ 03.1

The spring will return to its original length when the force is removed.

✅ 03.2

Any two: spring constant, original length, diameter.

✅ 03.3

0.80 = k × 0.0040 → k = 200 N/m

✅ 03.4

Upward force = downward force; spring is inelastically deformed.

Topics

Physics · P5: Forces

Question and mark scheme from the AQA GCSE Combined Science: Trilogy examination, Physics Paper 2 (Higher), 2020. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.