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AQA GCSE Physics Smart practice A mixed round aimed at your weak spots
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Moments, levers and gears (physics only)

Practise 34 exam-style questions on Moments, levers and gears (physics only) for AQA GCSE Physics. Write your answer as you would in the exam and get it marked in seconds against the mark scheme, point by point, with an AI tutor on hand if you get stuck.

  • 34 questions
  • 1–6 marks each
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20 questions, marked as you go

Sample questions with model answers

Here are 4 of the questions in this topic, each with a model answer, an explanation of why it earns the marks and the mark scheme an examiner would use.

Question 1

2 marks

State the principle of moments for an object that is balanced.

Model answer

If an object is balanced, the total clockwise moment about a pivot equals the total anticlockwise moment about that same pivot.

Explanation

This is used to calculate an unknown force or distance on a balanced object. All the moments must be taken about the same pivot, using the perpendicular distance from that pivot to each force.

Mark scheme
  1. 1 mark

    the total clockwise moment equals the total anticlockwise moment

    allow sum of clockwise moments = sum of anticlockwise moments

  2. 1 mark

    about the same pivot / point

Question 2

2 marks

The diagram shows two downward forces acting on a beam that can turn about a pivot at its centre. Ignore the weight of the beam.

Determine which way the beam will turn. Show how you work out your answer.

A horizontal beam 2 m long, resting on a pivot (a triangle underneath it) 1 m from the left end. A force arrow labelled "50 N" pushes down on the beam 0.2 m from the left end (0.8 m to the left of the pivot); a force arrow labelled "60 N" pushes down on the beam 1.6 m from the left end (0.6 m to the right of the pivot). A dimension line labelled "0.8 m" spans from the line of the "50 N" force (0.2 m from the left end) to the pivot. A dimension line labelled "0.6 m" spans from the pivot to the line of the "60 N" force (1.6 m from the left end).

Model answer

Anticlockwise moment (left) = 50 N × 0.8 m = 40 N m
Clockwise moment (right) = 60 N × 0.6 m = 36 N m
The anticlockwise moment is bigger, so the beam turns anticlockwise: the left end moves down.

Explanation

The larger force does not always win: what matters is the moment, force × distance from the pivot. The 50 N force is further from the pivot, so its moment is bigger than that of the 60 N force.

Mark scheme
  1. 1 mark

    anticlockwise moment = 50 × 0.8 = 40 N m and clockwise moment = 60 × 0.6 = 36 N m

    both moments needed; correct answer with no working scores full marks

  2. 1 mark

    the beam turns anticlockwise / the left end moves down

Question 3

3 marks

A student balanced a metre rule on a pivot at its centre and hung weights on either side of the pivot. The table shows her results for four trials. The rule was balanced in every trial.

Use the data to identify the trial that does not support the principle of moments. Suggest one reason for this result.

Table with columns "Trial", "Force on left in N", "Distance on left in m", "Force on right in N", "Distance on right in m". Trial: 1; Force on left in N: 2.0; Distance on left in m: 0.30; Force on right in N: 3.0; Distance on right in m: 0.20 | Trial: 2; Force on left in N: 4.0; Distance on left in m: 0.15; Force on right in N: 2.0; Distance on right in m: 0.30 | Trial: 3; Force on left in N: 1.5; Distance on left in m: 0.40; Force on right in N: 2.0; Distance on right in m: 0.35 | Trial: 4; Force on left in N: 5.0; Distance on left in m: 0.24; Force on right in N: 3.0; Distance on right in m: 0.40.

Model answer

Trial 1: 2.0 × 0.30 = 0.60 and 3.0 × 0.20 = 0.60 N m
Trial 2: 4.0 × 0.15 = 0.60 and 2.0 × 0.30 = 0.60 N m
Trial 3: 1.5 × 0.40 = 0.60 but 2.0 × 0.35 = 0.70 N m
Trial 4: 5.0 × 0.24 = 1.2 and 3.0 × 0.40 = 1.2 N m
Trial 3 does not support the principle of moments, because the clockwise and anticlockwise moments are not equal. The student probably measured or recorded the right-hand distance incorrectly - it should have been 0.30 m.

Explanation

Calculate force × distance on each side for every trial: when the rule balances, the two moments should be equal. The odd one out points to a measurement error, such as measuring to the edge of the thread loop rather than its centre.

Mark scheme
  1. 1 mark

    moments calculated, e.g. trial 3: left = 1.5 × 0.40 = 0.60 N m and right = 2.0 × 0.35 = 0.70 N m

  2. 1 mark

    trial 3

  3. 1 mark

    any one sensible reason: a distance was measured or recorded incorrectly (e.g. not to the centre of the thread loop / from the end of the rule) / the rule was not exactly horizontal / a weight was labelled wrongly

Question 4

4 marks

A student balances a metre rule on a pivot with a fixed load on one side. She then finds the force needed on the other side to balance the rule when it acts at different distances from the pivot. The graph shows her results.

Use the graph to show that the force needed is inversely proportional to its distance from the pivot.
Determine the moment of the fixed load about the pivot.

Line graph of force needed to balance in N (y-axis, 0 to 12) against distance from pivot in m (x-axis, 0 to 0.6). The line is a smooth curve through (0.1, 12), (0.2, 6), (0.3, 4), (0.4, 3), (0.5, 2.4), (0.6, 2).

Model answer

Force × distance for each result:
12 N × 0.1 m = 1.2 N m
6 N × 0.2 m = 1.2 N m
4 N × 0.3 m = 1.2 N m
2 N × 0.6 m = 1.2 N m
Force × distance is constant, so the force is inversely proportional to the distance (doubling the distance halves the force).
The rule is balanced each time, so the moment of the fixed load equals the moment of the balancing force: 1.2 N m.

Explanation

Two quantities are inversely proportional if their product is constant. Here the product is the moment of the balancing force, which must always equal the moment of the fixed load for the rule to balance - that is the principle of moments.

Mark scheme
  1. 1 mark

    force × distance calculated for at least two points, e.g. 12 × 0.1 = 1.2 and 3 × 0.4 = 1.2

    allow doubling the distance halves the force, e.g. 0.1 m to 0.2 m: 12 N to 6 N

  2. 1 mark

    force × distance is constant (1.2) for all the points

  3. 1 mark

    so force is inversely proportional to distance

  4. 1 mark

    moment of load = 1.2 N m (because the rule is balanced, it equals F × d)

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