1. Three blocks, with masses m1 5.10 kg, and m3 kg, are pulled on a horizontal frictionless surface by a 19.00 N force that makes a 28° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m2 and m3 blocks? N m3 = 5.60 kg, m2 m₂ m₁ = = 7.80

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**Problem Statement:**

1. Three blocks, with masses \( m_1 = 5.60 \, \text{kg} \), \( m_2 = 5.10 \, \text{kg} \), and \( m_3 = 7.80 \, \text{kg} \), are pulled on a horizontal frictionless surface by a 19.00 N force that makes a 28° angle (θ) with the horizontal (see figure). What is the magnitude of the tension between the \( m_2 \) and \( m_3 \) blocks? 

   \[ \boxed{} \, \text{N} \]

**Diagram Explanation:**

- **Blocks Arrangement:** 
   - There are three blocks aligned horizontally on a frictionless surface.
   - From left to right in the figure, the blocks are labeled \( m_3 \), \( m_2 \), and \( m_1 \).

- **Connections:**
   - The blocks are connected by strings: 
      - One string connects \( m_3 \) to \( m_2 \).
      - Another string connects \( m_2 \) to \( m_1 \).

- **Applied Force:**
   - An external force \(\overrightarrow{F}\) of 19.00 N is applied to the system.
   - This force is at an angle of 28° (θ) with respect to the horizontal axis.

- **Force Components:**
   - The horizontal component of the applied force \( \overrightarrow{F} \) can be resolved as \( F \cos(θ) \).
   - The vertical component \( F \sin(θ) \) does not affect the horizontal motion because the surface is frictionless.

**Objective:**
- Determine the tension between the blocks \( m_2 \) and \( m_3 \).
Transcribed Image Text:**Problem Statement:** 1. Three blocks, with masses \( m_1 = 5.60 \, \text{kg} \), \( m_2 = 5.10 \, \text{kg} \), and \( m_3 = 7.80 \, \text{kg} \), are pulled on a horizontal frictionless surface by a 19.00 N force that makes a 28° angle (θ) with the horizontal (see figure). What is the magnitude of the tension between the \( m_2 \) and \( m_3 \) blocks? \[ \boxed{} \, \text{N} \] **Diagram Explanation:** - **Blocks Arrangement:** - There are three blocks aligned horizontally on a frictionless surface. - From left to right in the figure, the blocks are labeled \( m_3 \), \( m_2 \), and \( m_1 \). - **Connections:** - The blocks are connected by strings: - One string connects \( m_3 \) to \( m_2 \). - Another string connects \( m_2 \) to \( m_1 \). - **Applied Force:** - An external force \(\overrightarrow{F}\) of 19.00 N is applied to the system. - This force is at an angle of 28° (θ) with respect to the horizontal axis. - **Force Components:** - The horizontal component of the applied force \( \overrightarrow{F} \) can be resolved as \( F \cos(θ) \). - The vertical component \( F \sin(θ) \) does not affect the horizontal motion because the surface is frictionless. **Objective:** - Determine the tension between the blocks \( m_2 \) and \( m_3 \).
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