To determine the spring constant for spring 2 (the third column), we can use Hooke's Law, which states that:

$F = k \cdot x$

where:

• $F$ is the force (first column),
• $k$ is the spring constant (what we're trying to find),
• $x$ is the extension or displacement (third column).

To find $k$, we rearrange the equation:

$k = \frac{F}{x}$

We can calculate the spring constant for each row using this formula, then check if the constant is approximately the same (since Hooke’s Law assumes a linear relationship for small deformations). Let's calculate $k$ for each pair of force and displacement values for spring 2.

Data provided:

Force (N)	Spring 2 Displacement (m)
1	0.1
1.5	0.16
2	0.18
2.5	0.22
3	0.24
3.5	0.37
4	0.41
4.5	0.41
5	0.49
5.5	0.44
6	0.58

I'll now calculate $k$ for each row to determine if there is a consistent spring constant for spring 2.The spring constants ($k$) calculated for each pair of force and displacement values for spring 2 are:

&10.00, \ 9.38, \ 11.11, \ 11.36, \ 12.50, \ 9.46, \ 9.76, \ 10.98, \ 10.20, \ 12.50, \ 10.34 \end{aligned}$$ These values fluctuate slightly, but they are close to an average value of around **10.5 N/m**, indicating that the spring constant for spring 2 is approximately **10.5 N/m**. Would you like more details or have any questions? Here are five related questions to consider: 1. How does the spring constant affect the force applied? 2. What are the typical sources of error in measuring the spring constant? 3. How can we determine if a spring follows Hooke's Law? 4. Why do we observe variations in the spring constant values? 5. Can a spring's constant change over time due to material fatigue? **Tip:** The spring constant is specific to each spring's material and design, so even small irregularities in construction can lead to slight variations in calculated constants.