AQA GCSE Physics Physics Paper 2 (Foundation), June 2022: Question 4

10 marks · Standard Demand difficulty · Short Answer

Identify the centre of mass of an orange, describe and calculate the relationship between mass and weight, determine the extension and spring constant of a spring under a given force, and state the behavior of the spring when the force is removed.

Practise this question

Question

A multi-part physics question about forces, mass, weight, and elasticity. Figure 6 shows an orange with a point X labeled near its centre. Figure 7 shows a spring balance measuring 5 oranges with the pointer at 1.1 kg. Figure 8 shows a spring with no force having a length of 3.5 cm, and a spring with a 6.0 N force having a length of 5.0 cm.
Question text

04 Figure 6 shows the weight of an orange acting from a point labelled X.

Figure 6

04.1 What name is given to point X in Figure 6?

[1 mark]

Tick ( ) one box.

Centre of force

Centre of mass

Centre of balance

Centre of weight

04.2 Weight and mass are not the same.

The relationship between weight and mass for an object can be written as:

weight ∝ mass

Which sentence describes the relationship between weight and mass?

[1 mark]

Tick ( ) one box.

Weight is approximately equal to mass.

Weight is directly proportional to mass.

Weight is less than mass. 17

Figure 7 shows a balance used to measure the mass of 5 oranges.

*16* Figure 7

04.3 All 5 of the oranges have the same mass.

Determine the mass of 1 orange.

[2 marks]

Mass = kg

04.4 Calculate the weight of 1 orange.

gravitational field strength = 9.8 N/kg

Use the equation:

weight = mass × gravitational field strength

[2 marks]

Weight = N

The balance shown in Figure 7 contains a spring.

Figure 8 shows the spring with no force acting on it and with a force of 6.0 N acting

*17* on it.

Figure 8

04.5 What is the extension of the spring when a force of 6.0 N acts on it?

[1 mark]

Tick ( ) one box.

0.015 m

0.035 m

0.050 m

0.085 m

04.6 Calculate the spring constant of the spring.

Use the equation:

force

spring constant =

extension

[2 marks]

Spring constant =19 N/m

04.7 What will happen to the spring when the force is removed?

[1 mark]

Mark scheme

Show the mark scheme Mark scheme tables detailing the acceptable answers and marks for sub-questions 04.1 through 04.7, including centre of mass, direct proportionality, mass and weight calculations, extension identification, spring constant calculation, and spring recovery.

Question 4

AO /

Question Answers Extra information Mark

Spec. Ref.

04.1 centre of mass 1 AO1

4.5.1.3

AO /

Spec. Ref.

04.2 weight is directly proportional to 1 AO1

mass 4.5.1.3

AO /

Spec. Ref.

04.3 reading from balance = 1.1 kg 1 AO2

4.5.1.3

1.1

mass = = 0.22 kg allow correct calculation using 1

5 incorrectly read value from the

balance

AO /

Spec. Ref.

04.4 weight = 0.22 × 9.8 allow ecf from question 04.3 1 AO2

4.5.1.3

2.156 (N) allow correct answer to 2 or 3 1

sig figs

AO /

Spec. Ref.

04.5 0.015 m 1 AO2

4.5.3

AO /

Spec. Ref.

6.0

04.6 spring constant = allow ecf from question 04.5 1 AO2

0.015 4.5.3

400 (N/m) 1

AO /

Spec. Ref.

04.7 returns to its original allow returns to 3.5 cm 1 AO3

length/shape 4.5.3

Total Question 4 10

How to answer it

Forces, Mass, Weight and Hooke's Law Study Guide

What this question tests

This question assesses your understanding of forces and elasticity (AQA GCSE Physics Topic 5). Key skills include identifying the centre of mass, distinguishing between mass and weight, applying the weight equation ( W = m × g ), calculating spring extension, applying Hooke's law to find the spring constant, and recognizing elastic deformation.

Part 04.1

Naming the Point of Weight

✅ Correct Answer

Centre of mass (Tick the second box)

Marks: 1 / 1

💡 Key Knowledge

The centre of mass is the single point through which all the weight of an object can be considered to act.

Part 04.2

Relationship Between Weight and Mass

✅ Correct Answer

Weight is directly proportional to mass (Tick the middle box)

Marks: 1 / 1

💡 Key Knowledge

Because W = m × g and gravitational field strength ( g ) is constant on Earth, multiplying mass by a constant means weight scales directly with mass.

Part 04.3

Determining the Mass of 1 Orange

📐 Calculation Steps

  1. Step 1: Read the total mass of the 5 oranges from the balance scale diagram in Figure 7 = 1.1 kg .
  2. Step 2: Divide the total mass by the number of oranges: 1.1 ÷ 5 = 0.22 kg .

Mass = 0.22 kg

Marks: 2 / 1 for scale reading, 1 for correct division

❌ Common Errors

Students often misread scale increments or forget to divide by 5, giving the total mass of all oranges instead of just one.

Part 04.4

Calculating the Weight of 1 Orange

📐 Calculation Steps

  1. Step 1: State the equation: weight = mass × gravitational field strength
  2. Step 2: Substitute values: 0.22 kg × 9.8 N/kg
  3. Step 3: Calculate: 2.156 N (Allow ECF from 04.3). Can round to 2.2 N (2 sig figs) or 2.16 N (3 sig figs).

Weight = 2.156 N

Marks: 2 / 1 for substitution/equation, 1 for correct calculation

🧠 Exam Technique

Always show your substitution clearly, even for simple one-step calculations. This secures a method mark if your final arithmetic has a typo.

Part 04.5

Determining Spring Extension

✅ Correct Answer

0.015 m (Tick the first box)

Marks: 1 / 1

📐 Working Out

  • Original length ( L₀ ) = 3.5 cm
  • Stretched length ( L ) = 5.0 cm
  • Extension = 5.0 cm - 3.5 cm = 1.5 cm
  • Convert cm to m: 1.5 ÷ 100 = 0.015 m
Part 04.6

Calculating the Spring Constant

📐 Calculation Steps

  1. Step 1: Identify force = 6.0 N and extension = 0.015 m (from 04.5).
  2. Step 2: Substitute into the equation: spring constant = 6.0 ÷ 0.015
  3. Step 3: Calculate: 400 N/m

Spring constant = 400 N/m

Marks: 2 / 1 for substitution, 1 for correct answer and unit

❌ Common Errors

Using 1.5 cm directly instead of converting it to metres ( 0.015 m ) is the single most common reason students lose marks here.

Part 04.7

Behaviour of the Spring Upon Force Removal

✅ Correct Answer

It returns to its original length / shape (or returns to 3.5 cm).

Marks: 1 / 1

💡 Key Knowledge

This demonstrates elastic deformation—the spring will return to its original dimensions as long as the limit of proportionality has not been exceeded.

Topics

Physics · P5: Forces

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 2 (Foundation), June 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.