Find the acceleration of the block using the provided diagram. Fnorm = 84 N Ffrict = 9.5 N %3D Fapp = 12.1 N %3D

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Chapter1: Units, Trigonometry. And Vectors
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**Understanding Forces Acting on a Block**

In this example, we examine a block subjected to various forces as depicted in the diagram.

**Diagram Explanation:**
The diagram shows a square block with four forces acting on it:

1. **F_norm (Normal Force):** Acts upward. This force is perpendicular to the surface on which the block rests.
2. **F_grav (Gravitational Force):** Acts downward. This force represents the weight of the block due to gravity.
3. **F_frict (Frictional Force):** Acts to the left. This force opposes the motion of the block.
4. **F_app (Applied Force):** Acts to the right. This force is exerted on the block to move it in a particular direction.

**Given Data:**
- \( F_{\text{norm}} = 84 \, \text{N} \)
- \( F_{\text{frict}} = 9.5 \, \text{N} \)
- \( F_{\text{app}} = 12.1 \, \text{N} \)

**Problem Statement:**
Find the acceleration of the block using the provided diagram and information.

**Solution Approach:**
1. Determine the net force acting in the horizontal direction (\( F_{\text{net}} = F_{\text{app}} - F_{\text{frict}} \)).
2. Use Newton's second law (\( F = m \cdot a \)) to solve for acceleration, where \( m \) is the mass of the block.

This exercise helps in understanding the balance and resultant of forces, and it introduces fundamental physics concepts such as calculating net force and acceleration.
Transcribed Image Text:**Understanding Forces Acting on a Block** In this example, we examine a block subjected to various forces as depicted in the diagram. **Diagram Explanation:** The diagram shows a square block with four forces acting on it: 1. **F_norm (Normal Force):** Acts upward. This force is perpendicular to the surface on which the block rests. 2. **F_grav (Gravitational Force):** Acts downward. This force represents the weight of the block due to gravity. 3. **F_frict (Frictional Force):** Acts to the left. This force opposes the motion of the block. 4. **F_app (Applied Force):** Acts to the right. This force is exerted on the block to move it in a particular direction. **Given Data:** - \( F_{\text{norm}} = 84 \, \text{N} \) - \( F_{\text{frict}} = 9.5 \, \text{N} \) - \( F_{\text{app}} = 12.1 \, \text{N} \) **Problem Statement:** Find the acceleration of the block using the provided diagram and information. **Solution Approach:** 1. Determine the net force acting in the horizontal direction (\( F_{\text{net}} = F_{\text{app}} - F_{\text{frict}} \)). 2. Use Newton's second law (\( F = m \cdot a \)) to solve for acceleration, where \( m \) is the mass of the block. This exercise helps in understanding the balance and resultant of forces, and it introduces fundamental physics concepts such as calculating net force and acceleration.
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