Four identical springs are attached to a surface as shown. Determine the spring force, spring constant and stretch length in each case. Also determine the length at which the last mass will hang at rest. Note: Drawing is not to scale. Fs k unit unit v unit 0.25m case 1 case 2 case 3 0.31m m2 What is mass 2 (m2)? 0.39m 7kg case 2 unit What is length 3 (L3)? case 1 unit L3 11kg case 3 wwwww.

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**Educational Exercise: Analyzing Springs and Masses**

**Problem Description:**
Four identical springs are attached to a surface, with different configurations as depicted. The task is to determine the spring force (Fₛ), spring constant (k), and stretch length (x) for each case. Additionally, find the length at which the last mass will hang at rest.

**Table Completion:**

|        | Fₛ |  k  |  x  |
|--------|----|-----|-----|
| Case 1 |    |     |     |
| Case 2 |    |     |     |
| Case 3 |    |     |     |

**Questions:**
- What is the mass 2 (m₂)?
- What is length 3 (L₃)?

**Diagram Explanation:**
- Three spring cases are shown:
  - **Case 1:** A mass of 7 kg is attached, with the spring stretched to 0.39 m.
  - **Case 2:** An unknown mass (m₂) is attached, with the spring stretched to 0.31 m.
  - **Case 3:** A mass of 11 kg is attached, with the spring stretched to length L₃.

- An unstretched spring length is given as 0.25 m. Each spring is represented with variability in length according to the mass attached.

**Units:**
- The placeholders for the table and answers allow for specifying units, indicating calculations might need conversions or consistency checks in units (e.g., N for force, N/m for spring constant, m for length).
Transcribed Image Text:**Educational Exercise: Analyzing Springs and Masses** **Problem Description:** Four identical springs are attached to a surface, with different configurations as depicted. The task is to determine the spring force (Fₛ), spring constant (k), and stretch length (x) for each case. Additionally, find the length at which the last mass will hang at rest. **Table Completion:** | | Fₛ | k | x | |--------|----|-----|-----| | Case 1 | | | | | Case 2 | | | | | Case 3 | | | | **Questions:** - What is the mass 2 (m₂)? - What is length 3 (L₃)? **Diagram Explanation:** - Three spring cases are shown: - **Case 1:** A mass of 7 kg is attached, with the spring stretched to 0.39 m. - **Case 2:** An unknown mass (m₂) is attached, with the spring stretched to 0.31 m. - **Case 3:** A mass of 11 kg is attached, with the spring stretched to length L₃. - An unstretched spring length is given as 0.25 m. Each spring is represented with variability in length according to the mass attached. **Units:** - The placeholders for the table and answers allow for specifying units, indicating calculations might need conversions or consistency checks in units (e.g., N for force, N/m for spring constant, m for length).
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