3.4.1.3
Required practical: measuring g by free fall with light gates
Motion Along a Straight Line — AQA A-Level Physics
- Drop a steel ball-bearing from an electromagnet through two light gates.
- Independent variable: height h between the light gates. Dependent variable: time t.
- Use the SUVAT equation s = ut + 0.5at^2, rearranged to 2h/$t = gt + 2u$.
- Plot 2h/t on the y-axis against t on the x-axis.
- The gradient of the straight-line graph gives g.
- The y-intercept gives 2u (twice the initial speed at the first gate).
- Repeat each height at least 3 times and take an average t.
Sources of error
- Systematic: residual magnetism after switching off the electromagnet delays release, making t too large.
- Random: parallax error reading the ruler, ball not falling centrally through light gates.
- Reduce random errorAn error that causes readings to scatter unpredictably above and below the true value. Can be reduced by averaging repeated measurements. by repeating measurements 3-5 times per height and averaging.
Examiner Tips and Tricks
- You must know the graph axes (2h/t vs t), why it produces a straight line, and how to extract g from the gradient.
- This is a commonly examined required practical.