Core practical: force, mass and acceleration

Core practical 2.19 investigates how the acceleration of a trolley depends on the force pulling it and on its mass. Light gates make the timing accurate.

Practise this lesson free (6 questions)

Measuring speed with light gates

A light gate sends a beam of light to a sensor. When a card on the trolley passes through, it breaks the beam and a data logger records the time.
speed = length of card ÷ time the beam is blocked
With two light gates (or a double card), you get two speeds and the time between them, so:
a = (v − u) ÷ t
Light gates remove human reaction time from the timing, so they are more accurate than a stopwatch.

The method

1. Put a trolley on a runway (slightly tilted to cancel out friction) with a string over a pulley to a hanging mass.
2. The weight of the hanging mass is the accelerating force.
3. Changing the force: move masses one at a time from the trolley to the hanger. This keeps the total mass being accelerated the same.
4. Changing the mass: add masses to the trolley but keep the hanging mass the same.
5. Record the acceleration each time and repeat to find means.

What the results show

F = m × a
For a fixed mass, acceleration is directly proportional to the force: a graph of a against F is a straight line through the origin.
For a fixed force, acceleration decreases as the mass increases.
Safety: put something soft at the end of the runway to catch the trolley, and keep feet clear of falling masses.
Worked example

A 0.10 m card blocks a light gate for 0.050 s. A second gate further on is blocked for 0.025 s, 0.50 s later. Find the acceleration.

  1. u = 0.10 ÷ 0.050 = 2.0 m/s
  2. v = 0.10 ÷ 0.025 = 4.0 m/s
  3. a = (4.0 − 2.0) ÷ 0.50 = 4.0 m/s2

Answer: 4.0 m/s2

Key idea

Speed = card length ÷ time the beam is blocked; a = (v − u) ÷ t. Move masses from trolley to hanger to change force without changing total mass. Acceleration is proportional to force and decreases with mass: F = ma.

Key words
Acceleration
The rate of change of velocity: change in velocity ÷ time. Unit m/s^{2}.
Time
1 hour = 3600 s. Convert minutes and hours to seconds before using P = E ÷ t or Q = I × t.
Friction
A force that opposes motion between surfaces in contact.
Weight
The force of gravity on an object: W = m × g. Unit newton (N).

All GCSE and International GCSE Physics key terms and definitions →

Quick check

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Extra practice

2 more questions

Try each one, then tap to check.

  1. A 0.10 m card blocks a light gate for 0.04 s. What is the speed of the trolley?

    Show the answer

    Answer: 2.5 m/s

    speed = card length ÷ time = 0.10 ÷ 0.04 = 2.5 m/s

  2. A trolley's speed rises from 0.2 m/s to 1.4 m/s in 0.6 s. What is its acceleration?

    Show the answer

    Answer: 2 m/s2

    a = (1.4 − 0.2) ÷ 0.6 = 1.2 ÷ 0.6 = 2 m/s2

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Sources and references

Checked by the GCSE-ready editorial team, 17 October 2026. Last updated 2 October 2026. Spotted a mistake? Tell us and we will fix it.

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