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The image displays two questions related to the properties of springs and the forces applied to them:

1. **Physical Law** (Question 12):  
   - The question asks which law governs the relationship between the extension of a spring and the force applied to it.  
   - You have selected **Hooke's Law**, which is correct. Hooke's Law states that the force applied to stretch or compress a spring is directly proportional to the extension (displacement) of the spring, as long as the elastic limit is not exceeded. Mathematically, \( F = kx \), where \( F \) is the force, \( k \) is the spring constant, and \( x \) is the displacement.

2. **Type of Variation** (Question 13):  
   - The question asks about the type of variation between force and extension in a spring.  
   - You have selected **direct**, which is correct. The relationship between the force applied to a spring and its extension is a direct variation because the extension increases linearly with the applied force, assuming the spring constant remains constant.

Would you like more details or explanations on these topics?

Here are 5 related questions to expand your understanding:
1. How is the spring constant \( k \) calculated in Hooke's Law?
2. What happens to a spring if the force applied exceeds its elastic limit?
3. Can Hooke's Law apply to materials other than springs?
4. What are examples of systems where inverse variation is observed instead of direct?
5. How would you calculate the force required to extend a spring by a certain length if the spring constant is known?

**Tip:**  
In physics, recognizing whether relationships are **direct** or **inverse** variations helps in understanding how changing one quantity affects another in various physical systems.

The extension that a spring stretches varies directly with the force applied. To make the spring extend 30 cm, a force of 15 lbs needs to be applied. Question 12: Physical Law, and Question 13: Type of Variation.

This problem explores Hooke's Law and how the extension of a spring varies directly with the force applied. The force needed to stretch a spring 30 cm is given as 15 lbs. Students will learn about direct variation and the linear relationship described by Hooke's Law. Suitable for Grades 8-10.

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