Tsp on s Normal force on surface (fs)sp on s Static friction on surface Fc Gravity ns on sp Normal force on sprinter (fs)s on sp Static friction on sprinter sprinter y X surface y X

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Instruction for Creating Free-Body Diagrams**

1. **Objective**: Learn how to draw a free-body diagram representing the forces acting on a sprinter and the surface.

2. **Guidelines**:
   - Begin by identifying the objects involved: the sprinter and the surface.
   - Focus on depicting all forces acting on these objects.

3. **Drawing Vectors**:
   - Start each force vector at the designated black dots on the diagram.
   - Ensure vectors are proportional to the magnitude of the forces they represent.
   - Pay attention to the direction of each vector, which indicates the direction of the force.

4. **Considerations**:
   - Common forces to include are gravitational force, normal force, frictional force, and applied force.
   - Ensure the diagram clearly presents both interaction and balance of forces.
   - Label each force appropriately to distinguish their effects.
Transcribed Image Text:**Instruction for Creating Free-Body Diagrams** 1. **Objective**: Learn how to draw a free-body diagram representing the forces acting on a sprinter and the surface. 2. **Guidelines**: - Begin by identifying the objects involved: the sprinter and the surface. - Focus on depicting all forces acting on these objects. 3. **Drawing Vectors**: - Start each force vector at the designated black dots on the diagram. - Ensure vectors are proportional to the magnitude of the forces they represent. - Pay attention to the direction of each vector, which indicates the direction of the force. 4. **Considerations**: - Common forces to include are gravitational force, normal force, frictional force, and applied force. - Ensure the diagram clearly presents both interaction and balance of forces. - Label each force appropriately to distinguish their effects.
**Transcription and Explanation:**

**Force Notations on the Left:**

- **\( \vec{n}_{sp \, on \, s} \)**
  - Description: Normal force on the surface.
  
- **\( (\vec{f}_{s})_{sp \, on \, s} \)**
  - Description: Static friction on the surface.

- **\( \vec{F}_{G} \)**
  - Description: Gravity.

- **\( \vec{n}_{s \, on \, sp} \)**
  - Description: Normal force on the sprinter.

- **\( (\vec{f}_{s} )_{s \, on \, sp} \)**
  - Description: Static friction on sprinter.

**Image Description:**

- **Diagram of a Sprinter:**
  - The image shows a sprinter running on a flat surface. 
  - There are two sets of axes depicted, one labeled "sprinter" and the other "surface."
  - Each axis has an x and y component, suggesting a focus on the forces acting in these directions.

**Explanation of Diagram:**

The diagram illustrates the forces acting on a sprinter as they make contact with the ground. 

- **Sprinter:**
  - Represented by a point where the axes intersect, likely indicating the center of mass.
  - Forces such as normal force and static friction may be acting on different axes.

- **Surface:**
  - Also depicted with an x-y coordinate system to illustrate the interaction with the sprinter.

This setup is typical for analyzing the mechanics of motion, providing insight into the forces a sprinter must overcome as they accelerate. Understanding these forces is crucial for sports science and physics, allowing for optimization of performance and efficiency.
Transcribed Image Text:**Transcription and Explanation:** **Force Notations on the Left:** - **\( \vec{n}_{sp \, on \, s} \)** - Description: Normal force on the surface. - **\( (\vec{f}_{s})_{sp \, on \, s} \)** - Description: Static friction on the surface. - **\( \vec{F}_{G} \)** - Description: Gravity. - **\( \vec{n}_{s \, on \, sp} \)** - Description: Normal force on the sprinter. - **\( (\vec{f}_{s} )_{s \, on \, sp} \)** - Description: Static friction on sprinter. **Image Description:** - **Diagram of a Sprinter:** - The image shows a sprinter running on a flat surface. - There are two sets of axes depicted, one labeled "sprinter" and the other "surface." - Each axis has an x and y component, suggesting a focus on the forces acting in these directions. **Explanation of Diagram:** The diagram illustrates the forces acting on a sprinter as they make contact with the ground. - **Sprinter:** - Represented by a point where the axes intersect, likely indicating the center of mass. - Forces such as normal force and static friction may be acting on different axes. - **Surface:** - Also depicted with an x-y coordinate system to illustrate the interaction with the sprinter. This setup is typical for analyzing the mechanics of motion, providing insight into the forces a sprinter must overcome as they accelerate. Understanding these forces is crucial for sports science and physics, allowing for optimization of performance and efficiency.
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