The force displacement graph depicts the force applied to a 2.0 kilogram mass as it is displaced 8 meters. The initial speed of the mass is 5.0 meters per second. If F s is 20 N, what is the final speed of the mass?

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Chapter1: Units, Trigonometry. And Vectors
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The force displacement graph depicts the force applied to a 2.0 kilogram mass as it is displaced 8 meters. The initial speed of the mass is 5.0 meters per second. If F is 20 N, what is the final speed of the mass? 

The provided image contains partially visible text and a graph. Here’s a transcription and description suitable for an educational website:

### Transcription of Visible Text

1. **Text Discussion:**
   - "… on the object when it is +3 m from the origin. Characterize each as unstable or stable."
   - "… 0 to a final position of ..."
   - "2 s. The constant force applied by the machine … (100 N)k̂. For that displacement, find … force and package."

2. **Graph Description:**
   - The graph presents a relationship between Force (N) on the y-axis and Position (m) on the x-axis.
   - The graph has marked positions at 0, 2, 4, 6, and 8 meters.
   - The force values range from +Fs to -Fs.
   - The plot line is segmented into three linear sections:
     - Starts at a positive force value above the 0 position.
     - Decreases steadily to intersect the x-axis at the 2-meter position.
     - Continues with a negative slope through the subsequent positions, passing through 4 and ending at a negative force value at the 8-meter position. 

This graph is likely illustrating how force varies with displacement, possibly in a physics context involving spring force or another mechanical system.
Transcribed Image Text:The provided image contains partially visible text and a graph. Here’s a transcription and description suitable for an educational website: ### Transcription of Visible Text 1. **Text Discussion:** - "… on the object when it is +3 m from the origin. Characterize each as unstable or stable." - "… 0 to a final position of ..." - "2 s. The constant force applied by the machine … (100 N)k̂. For that displacement, find … force and package." 2. **Graph Description:** - The graph presents a relationship between Force (N) on the y-axis and Position (m) on the x-axis. - The graph has marked positions at 0, 2, 4, 6, and 8 meters. - The force values range from +Fs to -Fs. - The plot line is segmented into three linear sections: - Starts at a positive force value above the 0 position. - Decreases steadily to intersect the x-axis at the 2-meter position. - Continues with a negative slope through the subsequent positions, passing through 4 and ending at a negative force value at the 8-meter position. This graph is likely illustrating how force varies with displacement, possibly in a physics context involving spring force or another mechanical system.
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