A 8.36-kg particle is subject to a net force that varies with position as shown in the figure. The particle starts from rest at x = 0.   What is its speed at the following positions?   (a) x = 5.00 m  m/s (b) x = 10.0 m  m/s (c) x = 15.0 m  m/s

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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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A 8.36-kg particle is subject to a net force that varies with position as shown in the figure. The particle starts from rest at x = 0.

 

What is its speed at the following positions?

 
(a) x = 5.00 m
 m/s

(b) x = 10.0 m
 m/s

(c) x = 15.0 m
 m/s
The graph illustrates the force \( F_x \) in newtons (N) as a function of position \( x \) in meters (m).

### Description of the Graph:

- **Axes:**
  - The vertical axis, labeled \( F_x \ (N) \), represents the force in newtons.
  - The horizontal axis, labeled \( x \ (m) \), represents the position in meters from 0 to 16.

- **Plot Details:**
  - The plot begins at the origin (0,0).
  - From \( x = 0 \) to \( x = 2 \), the force \( F_x \) increases linearly to 3 N.
  - Between \( x = 2 \) and \( x = 10 \), the force remains constant at 3 N.
  - From \( x = 10 \) to \( x = 14 \), the force \( F_x \) decreases linearly back to 0 N.
  - From \( x = 14 \) to \( x = 16 \), the force remains at 0 N.

### Key Observations:

- The force reaches a maximum value of 3 N between 2 m and 10 m and then decreases symmetrically.
- The regions of increase and decrease in force occur over equal intervals of 2 m and 4 m, respectively.
Transcribed Image Text:The graph illustrates the force \( F_x \) in newtons (N) as a function of position \( x \) in meters (m). ### Description of the Graph: - **Axes:** - The vertical axis, labeled \( F_x \ (N) \), represents the force in newtons. - The horizontal axis, labeled \( x \ (m) \), represents the position in meters from 0 to 16. - **Plot Details:** - The plot begins at the origin (0,0). - From \( x = 0 \) to \( x = 2 \), the force \( F_x \) increases linearly to 3 N. - Between \( x = 2 \) and \( x = 10 \), the force remains constant at 3 N. - From \( x = 10 \) to \( x = 14 \), the force \( F_x \) decreases linearly back to 0 N. - From \( x = 14 \) to \( x = 16 \), the force remains at 0 N. ### Key Observations: - The force reaches a maximum value of 3 N between 2 m and 10 m and then decreases symmetrically. - The regions of increase and decrease in force occur over equal intervals of 2 m and 4 m, respectively.
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