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 2.18 N, while the horizontal spacing between adjacent grid lines is 1.0 m A: What is the work done by the force, in joules, as the object moves from x = 1 m to x = 5 m? .
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 2.18 N, while the horizontal spacing between adjacent grid lines is 1.0 m A: What is the work done by the force, in joules, as the object moves from x = 1 m to x = 5 m? .
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 2.18 N, while the horizontal spacing between adjacent grid lines is 1.0 m
A: What is the work done by the force, in joules, as the object moves from x = 1 m to x = 5 m? .
Transcribed Image Text:The image is a graph depicting a linear relationship between force \( F \) (in Newtons) and displacement \( x \) (in meters). The graph features:
- **Axes and Labels**:
- The vertical axis (y-axis) is labeled \( F \) (N), representing force in Newtons.
- The horizontal axis (x-axis) is labeled \( x \) (m), representing displacement in meters.
- **Grid**:
- The graph has a green grid background to help in visualizing the values.
- **Line**:
- A straight red line runs diagonally from the top left to the bottom right, indicating a negative linear correlation between the force and displacement. As \( x \) increases, \( F \) decreases.
- **Origin**:
- The line appears to pass through the origin, suggesting that at \( x = 0 \), \( F = 0 \).
This graph might represent Hooke's Law for springs, where the force exerted by a spring is proportional to the displacement but in the opposite direction. The negative slope indicates that as the displacement increases, the force exerted by the spring decreases, which is typical behavior for a spring returning to its equilibrium position.
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