The block is at rest as shown. What is the spring constant of the spring as shown, in N/m? Use g = 10 m/s2.

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The block is at rest as shown. What is the spring constant of the spring as shown, in N/m? Use g = 10 m/s2.

 

 

**Transcription and Explanation for Educational Purposes:**

This diagram depicts a simple physics experiment involving a spring and a mass. The setup includes:

1. **Spring**: Suspended from a fixed point labeled as "1" at the top. The spring is shown in its stretched position due to the weight attached at the bottom.

2. **Ruler**: Positioned vertically alongside the spring, marked in centimeters (cm) for measuring displacement. The scale ranges from 0 cm at the top to 90 cm at the bottom.

3. **Mass**: A 100-gram weight is attached to the end of the spring, causing it to stretch.

4. **Dotted Lines**:
   - Blue Dotted Line: Positioned approximately at the 50 cm mark, possibly indicating the rest position of the spring without any load.
   - Green Dotted Line: Aligned with the position of the mass, marking the extended position of the spring under the weight of the mass. This is around the 79 cm mark.

5. **Button/Icon**: Located at the top left of the image, potentially representing a control button for a simulation or interactive element, signified by a pink hexagon.

**Explanation**:
The diagram is a visualization of Hooke's Law, which states that the extension of a spring is directly proportional to the force applied to it, provided the limit of elasticity is not exceeded. The spring stretches when a mass is hung from it, and the displacement can be measured using the ruler.

This setup can be used to explore concepts such as:
- The relationship between force, mass, and spring extension.
- Calculating spring constant (k) using the formula F = kx.
- Understanding potential and kinetic energy in oscillating systems.
Transcribed Image Text:**Transcription and Explanation for Educational Purposes:** This diagram depicts a simple physics experiment involving a spring and a mass. The setup includes: 1. **Spring**: Suspended from a fixed point labeled as "1" at the top. The spring is shown in its stretched position due to the weight attached at the bottom. 2. **Ruler**: Positioned vertically alongside the spring, marked in centimeters (cm) for measuring displacement. The scale ranges from 0 cm at the top to 90 cm at the bottom. 3. **Mass**: A 100-gram weight is attached to the end of the spring, causing it to stretch. 4. **Dotted Lines**: - Blue Dotted Line: Positioned approximately at the 50 cm mark, possibly indicating the rest position of the spring without any load. - Green Dotted Line: Aligned with the position of the mass, marking the extended position of the spring under the weight of the mass. This is around the 79 cm mark. 5. **Button/Icon**: Located at the top left of the image, potentially representing a control button for a simulation or interactive element, signified by a pink hexagon. **Explanation**: The diagram is a visualization of Hooke's Law, which states that the extension of a spring is directly proportional to the force applied to it, provided the limit of elasticity is not exceeded. The spring stretches when a mass is hung from it, and the displacement can be measured using the ruler. This setup can be used to explore concepts such as: - The relationship between force, mass, and spring extension. - Calculating spring constant (k) using the formula F = kx. - Understanding potential and kinetic energy in oscillating systems.
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