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The questions in the image involve determining how far a spring would extend under different weights. This suggests a relationship between force and displacement, which is typically governed by **Hooke's Law**. Hooke's Law is written as:

\[
F = kx
\]

Where:
- \( F \) is the force applied to the spring (in this case, the weight in pounds),
- \( k \) is the spring constant (how stiff the spring is),
- \( x \) is the extension or displacement of the spring (how far it stretches).

To solve these questions, we need the value of the spring constant, \( k \), which isn’t provided directly. If it was given in a previous part of the quiz, you can use it here to solve for \( x \).

Let me know if you have the spring constant or if you'd like me to assume one to demonstrate the calculation.

Would you like to continue with an assumed spring constant? Or do you have more information? 

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Here are 5 relative questions to consider:

1. What is Hooke's Law, and how is it applied in physics?
2. How does the spring constant \( k \) affect the extension of a spring?
3. What units are commonly used for force and spring displacement?
4. If the spring constant were doubled, how would that affect the spring's extension under the same force?
5. Can Hooke’s Law apply if the spring is stretched beyond its elastic limit?

**Tip:** Always make sure to use consistent units when solving problems involving forces and displacements. For instance, if you use pounds for force, make sure your spring constant is compatible with those units.

How far would the spring extend if you apply a 20 lbs weight? and How far would the spring extend if you apply a 30 lbs weight?

Learn how to calculate the extension of a spring when applying 20 lbs and 30 lbs weights using Hooke's Law. Understand the relationship between force, spring constant, and displacement. This problem introduces key physics concepts suitable for students in Grades 9-12.

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