AQA GCSE Physics Physics Paper 2 (Higher), June 2024: Question 5

9 marks · Standard Demand difficulty · Short Answer

Investigate the acceleration of a trolley varying with resultant force, including naming forces, control variables, calculating acceleration from distance and time, determining uncertainty, and analyzing the effect of raising the runway.

Practise this question

Question

An exam question with multiple sub-parts about an investigation into trolley acceleration. Figure 10 shows a trolley on a runway connected by a string marked F over a pulley to a mass hanger. Sub-questions ask for the name of force F, a control variable, how to calculate acceleration from time and distance, uncertainty from three acceleration values, and an explanation of acceleration when the runway is raised with a wooden block (Figure 11).
Question text

05 A student investigated how the acceleration of a trolley varies with the resultant force

on the trolley.

Figure 10 shows some of the equipment used.

Figure 10

05.1 Figure 10 shows the force F which acts through the string.

What name is given to force F?

[1 mark]

05.2 Give one variable that should have been a control variable in this investigation.

[1 mark]

05.3 The student held the trolley stationary and then released it.

The trolley moved along the runway with a constant acceleration.

The student recorded the time taken for the trolley to travel a measured distance

along the runway.

Describe how the acceleration of the trolley can be calculated using the time taken

and distance travelled by the trolley.

[3 marks]

For one set of results, the force acting through the string was 2.0 N.

05.4 The student released the trolley three times and determined the following values

for acceleration:

1.36 m/s2 1.39 m/s2 1.33 m/s2

Calculate the uncertainty in the values of acceleration.

[2 marks]

23Uncertainty = ± 2

m/s

05.5 The runway was then raised at one end.

*22* The force acting through the string remained the same.

Figure 11 shows this.

Figure 11

Explain how the acceleration was affected by raising the end of the runway.

[2 marks]

Mark scheme

Show the mark scheme The mark scheme for question 5, breaking down marks for parts 05.1 through 05.5, detailing acceptable answers such as tension, mass of trolley and mass hanger, steps to calculate acceleration, uncertainty calculations, and explanation of components of weight acting parallel to the runway.

Question 5

AO /

Question Answers Extra information Mark

Spec. Ref.

05.1 tension 1 AO2

4.5.1.2

AO /

Spec. Ref.

05.2 (combined) mass of trolley and allow mass / weight of trolley / 1 AO1

mass hanger hanger 4.5.6.2.2

RPA7

AO /

Spec. Ref.

05.3 allow speed for velocity AO3

throughout 4.5.6.1.5

4.5.6.1.2

divide distance travelled by time 1 4.5.6.2.2

taken to give (average / mean) RPA7

velocity

double mean velocity (to give 1

maximum velocity)

divide change in velocity by time allow divide maximum velocity 1

taken (to give acceleration) by time (to give acceleration)

allow use of v2= u2 + 2as

allow correct use of

s = ut + at

AO /

Spec. Ref.

05.4 (range =) 0.06 (m/s2) 1 AO3

or 4.5.6.2.2

(mean =) 1.36 (m/s2) RPA7

uncertainty = ±0.03 (m/s2) 1

– – –

AO /

Spec. Ref.

05.5 a component of the weight of 1 AO3

the trolley acts parallel to 4.5.6.2.215

runway

(so) resultant force increases so

acceleration increases

allow

work is done (by raising the

trolley) so the trolley gains

gravitational potential energy (1)

gravitational potential energy is

transferred to kinetic energy

increasing the final velocity and

the acceleration (1)

Total Question 5 9

How to answer it

Investigation of Acceleration and Newton's Second Law

What this question tests

This question assesses your understanding of required practical work (Forces / Newton's Second Law), identifying forces in strings (tension), experimental control variables, calculating acceleration from kinematic measurements, determining experimental uncertainty, and applying vector components to forces on a slope.

Part 05.1

Naming the Force in a String

✅ Correct Answer

Tension

💡 Key Knowledge

  • Forces transmitted through a stretched string, rope, or cable are always referred to as tension.
  • This force pulls equally in both directions along the line of the string.
Mark allocation: 1 mark
Part 05.2

Identifying Control Variables

✅ Correct Answer

The (combined) mass of the trolley and mass hanger (or just mass of the trolley / mass of the system).

❌ Common Errors

Students often lose this mark by being too vague, writing just "mass" without specifying what mass is being kept constant in the system.

Mark allocation: 1 mark
Part 05.3

Calculating Acceleration from Distance and Time

✅ Correct Answer (3-step method)

  1. Divide distance travelled by time taken to find the mean velocity.
  2. Double the mean velocity to find the maximum (final) velocity (assuming it starts from rest).
  3. Divide the change in velocity by the time taken to find the acceleration.

📐 Alternative Kinematic Approach

You can also gain full marks by stating the SUVAT equation: s = ut + (1/2)at² (recognizing initial velocity u = 0 ) or rearranging v² = u² + 2as .

Mark allocation: 3 marks (1 mark per valid stage in the calculation pathway)
Part 05.4

Calculating Experimental Uncertainty

📐 Step-by-Step Calculation

  1. Identify values: 1.36, 1.39, 1.33
  2. Find range: Maximum value minus minimum value = 1.39 - 1.33 = 0.06
  3. Calculate uncertainty: Half of the range = 0.06 / 2 = 0.03

Final Answer: Uncertainty = ± 0.03 m/s²

🧠 Exam Technique

Remember the golden rule for calculating half-range uncertainty from repeat readings: Uncertainty = ± (Range / 2). Always include the ± symbol and correct units.

Mark allocation: 2 marks
Part 05.5

Effect of Raising the Runway

✅ Correct Answer

  • A component of the trolley's weight acts parallel down the runway.
  • This increases the total resultant force acting on the trolley, therefore increasing its acceleration.

💡 Energy Alternative

Alternatively, full marks are awarded using energy: Raising the runway does work on the trolley, increasing its gravitational potential energy. This is transferred into more kinetic energy, increasing final velocity and acceleration.

Mark allocation: 2 marks

Topics

Physics · Required Practicals · P5: Forces · Required Practicals

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 2 (Higher), June 2024. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.