Lever & Fulcrum — Mechanical Advantage
GED Science Practice — Variables, graphs, data tables & scientific reasoning
Read the passage
A researcher investigated the effect of fulcrum placement on the mechanical advantage of a lever, shown in the diagram below.
The researcher collected the data shown in the table below.
| Mass Lifted (kg) | Length of Lever (cm) | Effort Distance (cm) | Effort Force (N) |
|---|---|---|---|
| 10 | 200 | 160 | 24.5 |
| 10 | 200 | 120 | 65.3 |
| 10 | 200 | 80 | 147 |
| 10 | 200 | 40 | 392 |
Blue = Independent variable | Red = Dependent variable
GED question: Which graph places the independent and dependent variables on the correct axes for this investigation?
Tap a graph to select it, then press "Check my answer."
Interactive lever — see how effort distance affects force
As the effort distance (blue arrow) increases, the effort force needed (red arrow) decreases — and vice versa
What the data shows
Notice what changes and what stays constant across all four rows:
Length of lever = 200 cm every time
These are controlled variables — held constant so they don't affect results.
This is what the researcher deliberately changed — the independent variable.
This is what responded to the change — the dependent variable.
The correct graph — Effort Force vs. Effort Distance
Effort Distance (cm) on the x-axis [independent] | Effort Force (N) on the y-axis [dependent] — this is the CORRECT orientation
Independent vs. Dependent variables — the key rule
How to identify each variable in this experiment
| Column | What it is | Type of variable | Goes on… |
|---|---|---|---|
| Mass Lifted (kg) | Same in all rows (10 kg) | Controlled | Neither axis |
| Length of Lever (cm) | Same in all rows (200 cm) | Controlled | Neither axis |
| Effort Distance (cm) | Changes: 160 → 120 → 80 → 40 | Independent ✓ | X-axis |
| Effort Force (N) | Measured result: 24.5 → 65.3 → 147 → 392 | Dependent ✓ | Y-axis |
Select the correct graph
Tap the graph that correctly places the independent variable on the x-axis and the dependent variable on the y-axis.
Y: Effort Force (N)
Y: Effort Distance (cm)
Y: Mass Lifted (kg)
Y: Effort Force (N)
Breaking down all four graph choices
This is the only correct graph. Effort Distance is what the researcher deliberately changed (independent variable → x-axis). Effort Force is what was measured as a result (dependent variable → y-axis). The curve falls from upper-left to lower-right, matching the data: as distance increases, force decreases.
This flips the axes. Effort Force (the dependent/measured variable) incorrectly goes on the x-axis, and Effort Distance (the independent variable) incorrectly goes on the y-axis. By convention, the independent variable ALWAYS goes on the x-axis.
The x-axis is correct (effort distance), but the y-axis is wrong. Mass Lifted never changed — it was always 10 kg. Graphing a controlled variable (constant value) on the y-axis produces a flat horizontal line that shows no relationship. The researcher did not investigate the effect on mass lifted.
Mass Lifted never changed in this experiment (always 10 kg), so it was never the independent variable and should NOT go on the x-axis. Graphing it there would show a single point repeated four times at x=10 — no meaningful relationship could be displayed.
