5. Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown to the right. The mass of the left block m1 = 1.1 kg and the mass of the right block m2 = 4.1 kg. The angle between the applied force and the horizontal is θ = 59°. The coefficient of kinetic friction between the blocks and the surface is μ = 0.38. Each block has an acceleration of a = 3.2 m/s2 to the right.  (a) Write an equation for the magnitude of the applied force F acting on the second block. Use variables from the problem statement as well as using g for the gravitational acceleration.   (b)  Calculate the magnitude of the applied force F. Give your answer in newtons.

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5. Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown to the right. The mass of the left block m1 = 1.1 kg and the mass of the right block m2 = 4.1 kg. The angle between the applied force and the horizontal is θ = 59°. The coefficient of kinetic friction between the blocks and the surface is μ = 0.38. Each block has an acceleration of a = 3.2 m/s2 to the right. 

(a) Write an equation for the magnitude of the applied force F acting on the second block. Use variables from the problem statement as well as using g for the gravitational acceleration.  

(b)  Calculate the magnitude of the applied force F. Give your answer in newtons.  

 

### Diagram Explanation

The image displays a basic physics problem involving forces and masses. Here's a detailed description:

- **Masses:** 
  - There are two blocks on a horizontal surface.
  - The smaller block on the left is labeled as \( m_1 \).
  - The larger block on the right is labeled as \( m_2 \).

- **Connector:** 
  - The blocks \( m_1 \) and \( m_2 \) are connected by a spring or elastic band.

- **Force:** 
  - An external force \( F \) is applied at an angle \( \theta \) to the horizontal plane.
  - The force vector \( F \) is shown acting on the larger block \( m_2 \).

### Text Transcription

Below the diagram, the text states:

"Use variables from the problem statement as well"

### Educational Context

This diagram is typically used in physics education to study the effects of forces and angles on connected masses. It might involve calculations for tension, acceleration, or other dynamics-related concepts. Understanding the interaction between the parameters is crucial for students learning about mechanics and vector decomposition. 

The problem would likely require applying Newton's laws of motion, considering factors like friction, and possibly using trigonometry to resolve the force \( F \) into horizontal and vertical components.
Transcribed Image Text:### Diagram Explanation The image displays a basic physics problem involving forces and masses. Here's a detailed description: - **Masses:** - There are two blocks on a horizontal surface. - The smaller block on the left is labeled as \( m_1 \). - The larger block on the right is labeled as \( m_2 \). - **Connector:** - The blocks \( m_1 \) and \( m_2 \) are connected by a spring or elastic band. - **Force:** - An external force \( F \) is applied at an angle \( \theta \) to the horizontal plane. - The force vector \( F \) is shown acting on the larger block \( m_2 \). ### Text Transcription Below the diagram, the text states: "Use variables from the problem statement as well" ### Educational Context This diagram is typically used in physics education to study the effects of forces and angles on connected masses. It might involve calculations for tension, acceleration, or other dynamics-related concepts. Understanding the interaction between the parameters is crucial for students learning about mechanics and vector decomposition. The problem would likely require applying Newton's laws of motion, considering factors like friction, and possibly using trigonometry to resolve the force \( F \) into horizontal and vertical components.
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