A man lifts various loads with the same lever. The distance of the applied force from the fulcrum is 2.00 m and the distance from the fulcrum to the load is 0.500 m. A graph of resistance force vs. effort force is shown. What is the mechanical advantage of the lever? What is the ideal mechanical advantage of the lever? What is the efficiency of the lever? Show work please:)

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A man lifts various loads with the same lever. The distance of the applied force from the fulcrum is 2.00 m and the distance from the fulcrum to the load is 0.500 m. A graph of resistance force vs. effort force is shown. What is the mechanical advantage of the lever? What is the ideal mechanical advantage of the lever? What is the efficiency of the lever? Show work please:)
**Graph Explanation: Lever: Resistance Force vs. Effort Force**

This graph illustrates the relationship between resistance force and effort force in a lever system. The x-axis represents the effort force, measured in Newtons (N), ranging from 0 to 60 N. The y-axis represents the resistance force, also measured in Newtons, ranging from 0 to 180 N.

### Key Features:

- **Data Points**: The graph displays four data points, each represented by a diamond shape. These points create a line that shows a direct relationship between effort force and resistance force.
  
- **Trend Line**: A dotted line represents the best fit for the relationship between the two forces. The equation of the line is given as \( y = 3.2x \), indicating that for every 1 N increase in effort force, the resistance force increases by 3.2 N.
  
- **Correlation Coefficient**: The \( R^2 \) value is 1, which signifies a perfect linear relationship between the effort force and the resistance force.

### Conclusion:

This graph clearly demonstrates the principle of levers, where the effort applied can multiply the mechanical advantage to lift a greater resistance force. The linear correlation confirms that the lever system's efficiency is consistent across different levels of applied effort.
Transcribed Image Text:**Graph Explanation: Lever: Resistance Force vs. Effort Force** This graph illustrates the relationship between resistance force and effort force in a lever system. The x-axis represents the effort force, measured in Newtons (N), ranging from 0 to 60 N. The y-axis represents the resistance force, also measured in Newtons, ranging from 0 to 180 N. ### Key Features: - **Data Points**: The graph displays four data points, each represented by a diamond shape. These points create a line that shows a direct relationship between effort force and resistance force. - **Trend Line**: A dotted line represents the best fit for the relationship between the two forces. The equation of the line is given as \( y = 3.2x \), indicating that for every 1 N increase in effort force, the resistance force increases by 3.2 N. - **Correlation Coefficient**: The \( R^2 \) value is 1, which signifies a perfect linear relationship between the effort force and the resistance force. ### Conclusion: This graph clearly demonstrates the principle of levers, where the effort applied can multiply the mechanical advantage to lift a greater resistance force. The linear correlation confirms that the lever system's efficiency is consistent across different levels of applied effort.
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