The graph shows the x component of a force that acts on an object that moves on the x axis. The vertical spacing between adjacent grid lines is 3.23N, while the horizontal spacing between adjacent grid lines is 1.0m. What is the work, in joules, done by the force as the object moves from x=4m to x=6m?

College Physics
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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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The graph shows the x component of a force that acts on an object that moves on the x axis. The vertical spacing between adjacent grid lines is 3.23N, while the horizontal spacing between adjacent grid lines is 1.0m.

 

 What is the work, in joules, done by the force as the object moves from x=4m to x=6m? 

The image presents a graph illustrating the relationship between force (\( F \)) in newtons (N) and displacement (\( x \)) in meters (m).

### Description of the Graph:
- **Axes:**
  - The vertical axis represents the force \( F \) measured in newtons (N).
  - The horizontal axis represents the displacement \( x \) measured in meters (m).
  
- **Graph Line:**
  - A straight red line descends linearly from the upper left to the lower right, indicating a negative relationship between force and displacement.

- **Grid:**
  - The background contains a light green grid to assist in estimating values at specific points on the graph.

### Interpretation:
This linear graph suggests that as the displacement increases, the force decreases proportionally. This could represent a scenario such as a spring being compressed or stretched where Hooke's Law applies, depicting the force applied being inversely proportional to the displacement. The line crossing the origin may indicate points of equilibrium where no net force is applied.
Transcribed Image Text:The image presents a graph illustrating the relationship between force (\( F \)) in newtons (N) and displacement (\( x \)) in meters (m). ### Description of the Graph: - **Axes:** - The vertical axis represents the force \( F \) measured in newtons (N). - The horizontal axis represents the displacement \( x \) measured in meters (m). - **Graph Line:** - A straight red line descends linearly from the upper left to the lower right, indicating a negative relationship between force and displacement. - **Grid:** - The background contains a light green grid to assist in estimating values at specific points on the graph. ### Interpretation: This linear graph suggests that as the displacement increases, the force decreases proportionally. This could represent a scenario such as a spring being compressed or stretched where Hooke's Law applies, depicting the force applied being inversely proportional to the displacement. The line crossing the origin may indicate points of equilibrium where no net force is applied.
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