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AQA GCSE Physics · Forces

Acceleration required practical

Investigate the effect of varying the force on the acceleration of an object of constant mass.

A trolley is pulled along a bench by a falling mass. Light gates measure its acceleration. More force gives more acceleration: a is directly proportional to F, as Newton’s second law says.

acceleratesLight gatesCard cuts the beamTrolleyPulleyHanging masses (force)

Equipment

  • Trolley on a bench, with a card (interrupter) on top
  • Pulley clamped to the end of the bench
  • String and a mass hanger with 100 g slotted masses
  • Two light gates and a data logger (or ruler, tape and stopwatch)
  • Balance

Variables

Independent you change
Force pulling the trolley (weight of the hanging masses)
Dependent you measure
Acceleration of the trolley
Control you keep the same
  • Total mass of trolley + masses (move masses from trolley to hanger)
  • Same distance between light gates
  • Same surface

Method

  1. 1

    Attach the trolley to a string that passes over a pulley to a mass hanger.

  2. 2

    Set up two light gates along the bench, connected to a data logger.

  3. 3

    Start with all the masses on the trolley. Move one mass to the hanger and release the trolley from the same place.

  4. 4

    Record the acceleration calculated by the data logger.

  5. 5

    Move another mass from the trolley to the hanger, so the total mass stays the same, and repeat.

  6. 6

    Plot acceleration against force.

Worked example

Total mass of trolley and masses kept at 1.0 kg.

Force (N)Acceleration (m/s²)
0.20.19
0.40.41
0.60.58
0.80.81
1.00.99
00.20.40.60.8100.20.40.60.81Force (N)Acceleration (m/s²)

Working

Light gates: a = (v − u) ÷ t, from the speeds at each gate and the time between them

F = m × a, so m = F ÷ a = 1.0 ÷ 0.99 ≈ 1.0 kg

Conclusion

The graph is a straight line through the origin, so acceleration is directly proportional to the resultant force when mass is constant. The gradient is 1 ÷ mass, which matches F = ma for a 1.0 kg system.

Risks

  • Trolley could fall off the benchPut a buffer or stop at the end of the bench.
  • Masses could fall on feetKeep feet clear of the hanger and don’t use too much mass.

Common mistakes

  • Adding new masses to the hanger instead of moving them from the trolley. That changes the total mass too.
  • Using a stopwatch over a short distance. Reaction time causes big errors; light gates are much better.
  • Forgetting that friction acts on the trolley, so the resultant force is a bit less than the weight on the hanger.

Better results

  • Use light gates instead of a stopwatch to reduce timing errors.
  • Tilt the bench slightly so the trolley just rolls on its own, compensating for friction.
  • Repeat each force and calculate a mean acceleration.

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