Use the information below to plot a graph of extension (cm) against load (N).

The extension is calculated by subtracting the original length of the spring (at 0 N load) from the length of the spring at each load. The original length is $10.5 \text{ cm}$.

• For $0 \text{ N}$: $10.5 \text{ cm} - 10.5 \text{ cm} = 0 \text{ cm}$
• For $1 \text{ N}$: $12.5 \text{ cm} - 10.5 \text{ cm} = 2.0 \text{ cm}$
• For $2 \text{ N}$: $15.0 \text{ cm} - 10.5 \text{ cm} = 4.5 \text{ cm}$
• For $3 \text{ N}$: $17.5 \text{ cm} - 10.5 \text{ cm} = 7.0 \text{ cm}$
• For $4 \text{ N}$: $19.5 \text{ cm} - 10.5 \text{ cm} = 9.0 \text{ cm}$
• For $5 \text{ N}$: $21.5 \text{ cm} - 10.5 \text{ cm} = 11.0 \text{ cm}$

The extension value for $5 \text{ N}$ load in your table is $11.5 \text{ cm}$, which should be $11.0 \text{ cm}$.

The task is to plot a graph of extension (cm) against load (N).

• The load (N) is the independent variable and should be plotted on the x-axis.
• The extension (cm) is the dependent variable and should be plotted on the y-axis.

Using the corrected extension value for $5 \text{ N}$, the points to plot are (Load, Extension):

• $(0 \text{ N}, 0 \text{ cm})$
• $(1 \text{ N}, 2.0 \text{ cm})$
• $(2 \text{ N}, 4.5 \text{ cm})$
• $(3 \text{ N}, 7.0 \text{ cm})$
• $(4 \text{ N}, 9.0 \text{ cm})$
• $(5 \text{ N}, 11.0 \text{ cm})$

1. Draw two perpendicular axes. Label the horizontal axis "Load (N)" and the vertical axis "Extension (cm)".
2. Choose appropriate scales for both axes. The x-axis should go from 0 N to at least 5 N, and the y-axis should go from 0 cm to at least 11.0 cm.
3. Plot each data point from Step 3 on the graph.
4. Draw a line of best fit through the plotted points. This line should be a straight line passing through the origin, as expected for a spring obeying Hooke's Law within its elastic limit.

The corrected data for plotting is:

$$\boxed{\begin{array}{|c|c|} \hline \text{Load (N)} & \text{Extension (cm)} \\ \hline 0 & 0 \\ 1 & 2.0 \\ 2 & 4.5 \\ 3 & 7.0 \\ 4 & 9.0 \\ 5 & 11.0 \\ \hline \end{array}}$$