Objects 1 and 2 are connected by a string, as shown. They are moving toward the right, and the string remains taut. The applied force is F = 30_N. Additional information is given in the table. Find the acceleration ax of each object and the tension T in the string. Assume the positive direction is toward the right. Object Mass Friction Coefficient 1 4.1 kg 0.14 2 9.5 kg 0.27 17. acceleration ax F A. -0.09006_m/s² B. -0.05739_m/s² C. -0.05174 m/s² -0.1059_m/s² -0.1029 m/s² -0.05604_m/s² F. 1--1 18. tension T A. 22.32 N D. 31.55 N B. 22.92 N E. 24.6 N C. 33.28 N F. 44.23_N 1--1 IYGYR The kinetic coefficient of friction for a 12 kg mass on a table is 0.25. A string from this mass goes across a pulley and is attached to an 8.0 kg mass hanging over the side of the table. If the system is moving so that the hanging mass is moving downward, then find the magnitude of the acceleration of each mass and the tension in the string. m₂ DEE D. E. m₁

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### Physics Problem: Interconnected Objects on a Horizontal Surface

**Problem Description:**
Objects 1 and 2 are connected by a string, as shown in the diagram. They are moving toward the right, and the string remains taut. The applied force is \( F = 30 \, \text{N} \). Additional information is given in the table below. Find the acceleration \( a_x \) of each object and the tension \( T \) in the string. Assume the positive direction is toward the right.

**Table of Given Values:**

| Object | Mass    | Friction Coefficient |
|--------|---------|-----------------------|
| 1      | 4.1 kg  | 0.14                  |
| 2      | 9.5 kg  | 0.27                  |

**Diagram Explanation:**
The diagram depicts two masses \( m_1 \) and \( m_2 \) connected by a string with an applied force \( F \) acting to the right on \( m_1 \). 

```
   ----             ----
  | m2 |-----------| m1 |
   ----             ----
                           \rightarrow F
```
Object 1 (\( m_1 \)) is on the right, and Object 2 (\( m_2 \)) is on the left.

**Questions:**

**17. Find the acceleration \( a_x \):**
- A. \(-0.09006 \, \text{m/s}^2\)
- B. \(-0.05739 \, \text{m/s}^2\)
- C. \(-0.05174 \, \text{m/s}^2\)
- D. \(-0.1059 \, \text{m/s}^2\)
- E. \(-0.1029 \, \text{m/s}^2\)
- F. \(-0.05604 \, \text{m/s}^2\)

**18. Find the tension \( T \):**
- A. \(22.32 \, \text{N}\)
- B. \(22.92 \, \text{N}\)
- C. \(33.28 \, \text{N}\)
- D. \(31.55 \, \text{N}\)
- E. \(24.6 \, \text{
Transcribed Image Text:### Physics Problem: Interconnected Objects on a Horizontal Surface **Problem Description:** Objects 1 and 2 are connected by a string, as shown in the diagram. They are moving toward the right, and the string remains taut. The applied force is \( F = 30 \, \text{N} \). Additional information is given in the table below. Find the acceleration \( a_x \) of each object and the tension \( T \) in the string. Assume the positive direction is toward the right. **Table of Given Values:** | Object | Mass | Friction Coefficient | |--------|---------|-----------------------| | 1 | 4.1 kg | 0.14 | | 2 | 9.5 kg | 0.27 | **Diagram Explanation:** The diagram depicts two masses \( m_1 \) and \( m_2 \) connected by a string with an applied force \( F \) acting to the right on \( m_1 \). ``` ---- ---- | m2 |-----------| m1 | ---- ---- \rightarrow F ``` Object 1 (\( m_1 \)) is on the right, and Object 2 (\( m_2 \)) is on the left. **Questions:** **17. Find the acceleration \( a_x \):** - A. \(-0.09006 \, \text{m/s}^2\) - B. \(-0.05739 \, \text{m/s}^2\) - C. \(-0.05174 \, \text{m/s}^2\) - D. \(-0.1059 \, \text{m/s}^2\) - E. \(-0.1029 \, \text{m/s}^2\) - F. \(-0.05604 \, \text{m/s}^2\) **18. Find the tension \( T \):** - A. \(22.32 \, \text{N}\) - B. \(22.92 \, \text{N}\) - C. \(33.28 \, \text{N}\) - D. \(31.55 \, \text{N}\) - E. \(24.6 \, \text{
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