Three crates with various contents are pulled by a force Fpull = 3535 N across a horizontal, frictionless roller-conveyor system. The group of boxes accelerates at 1.648 m/s² to the right. Between each adjacent pair of boxes is a force meter that measures the magnitude of the tension in the connecting rope. Between the box of mass m, and the box of mass m₂, the force meter reads F12 = 1376 N. Between the box of mass m₂ and the box of mass m3, the force meter reads F23 = 2241 N. Assume that the rope: and force meters are massless. m₁ Mtotal = FRAGILE What is the total mass of the three boxes? F12 eee m₁ = What is the mass of each box? m₂ FRAGILE kg kg F23 m₂ = m3 FRAGILE F pull 000000 eeee kg

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Problem Statement

Three crates with various contents are pulled by a force \( F_{\text{pull}} = 3535 \, \text{N} \) across a horizontal, frictionless roller-conveyor system. The group of boxes accelerates at \( 1.648 \, \text{m/s}^2 \) to the right. Between each adjacent pair of boxes is a force meter that measures the magnitude of the tension in the connecting rope. Between the box of mass \( m_1 \) and the box of mass \( m_2 \), the force meter reads \( F_{12} = 1376 \, \text{N} \). Between the box of mass \( m_2 \) and the box of mass \( m_3 \), the force meter reads \( F_{23} = 2241 \, \text{N} \). Assume that the ropes and force meters are massless.

### Questions

1. **What is the total mass of the three boxes?**

   \[
   m_{\text{total}} = \underline{\hspace{2cm}} \, \text{kg}
   \]

2. **What is the mass of each box?**

   \[
   m_1 = \underline{\hspace{2cm}} \, \text{kg} \quad m_2 = \underline{\hspace{2cm}} \, \text{kg} \quad m_3 = \underline{\hspace{2cm}} \, \text{kg}
   \]

### Diagram Explanation

- The image shows three crates labeled \( m_1 \), \( m_2 \), and \( m_3 \) placed on a roller-conveyor belt.
- A horizontal force \( F_{\text{pull}} = 3535 \, \text{N} \) is applied to the rightmost crate \( m_3 \).
- Tension forces are measured between these crates, with \( F_{12} = 1376 \, \text{N} \) between \( m_1 \) and \( m_2 \), and \( F_{23} = 2241 \, \text{N} \) between \( m_2 \) and \( m_3 \).
- The crates have "Fragile" written on them, indicating the contents are delicate.
- The crates accelerate to the right
Transcribed Image Text:### Problem Statement Three crates with various contents are pulled by a force \( F_{\text{pull}} = 3535 \, \text{N} \) across a horizontal, frictionless roller-conveyor system. The group of boxes accelerates at \( 1.648 \, \text{m/s}^2 \) to the right. Between each adjacent pair of boxes is a force meter that measures the magnitude of the tension in the connecting rope. Between the box of mass \( m_1 \) and the box of mass \( m_2 \), the force meter reads \( F_{12} = 1376 \, \text{N} \). Between the box of mass \( m_2 \) and the box of mass \( m_3 \), the force meter reads \( F_{23} = 2241 \, \text{N} \). Assume that the ropes and force meters are massless. ### Questions 1. **What is the total mass of the three boxes?** \[ m_{\text{total}} = \underline{\hspace{2cm}} \, \text{kg} \] 2. **What is the mass of each box?** \[ m_1 = \underline{\hspace{2cm}} \, \text{kg} \quad m_2 = \underline{\hspace{2cm}} \, \text{kg} \quad m_3 = \underline{\hspace{2cm}} \, \text{kg} \] ### Diagram Explanation - The image shows three crates labeled \( m_1 \), \( m_2 \), and \( m_3 \) placed on a roller-conveyor belt. - A horizontal force \( F_{\text{pull}} = 3535 \, \text{N} \) is applied to the rightmost crate \( m_3 \). - Tension forces are measured between these crates, with \( F_{12} = 1376 \, \text{N} \) between \( m_1 \) and \( m_2 \), and \( F_{23} = 2241 \, \text{N} \) between \( m_2 \) and \( m_3 \). - The crates have "Fragile" written on them, indicating the contents are delicate. - The crates accelerate to the right
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