(Figure 1) is the force-versus-position graph for a particle moving along the I-axis. Figure F, (N) 4202 + -2 -4 2 3 x (m) < 1 of 1 > ▼ Determine the work done on the particle during the interval 0-1 m. Express your answer with the appropriate units. Submit Wo-1 = Value Units You have already submitted this answer. Enter a new answer. No credit lost. Try again. Part B μA Previous Answers Request Answer Submit Determine the work done on the particle during the interval 1-2 m. Express your answer with the appropriate units. μA 1 W₁-2= Value Ĉ ? Units Previous Answers Request Answer ? Units input for part B

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**Understanding the Work Done on a Particle from a Force-Position Graph**

**Overview:**
The task involves determining the work done on a particle moving along the x-axis, as illustrated in a force-versus-position graph. This graph provides crucial insights into the relationship between force and displacement for the particle.

**Graph Explanation:**
- **Title:** Force vs. Position Graph
- **Axes:**
  - The horizontal axis (x-axis) represents position in meters (m).
  - The vertical axis (y-axis) represents force in newtons (N).
- **Plot Details:**
  - The graph consists of a piecewise linear plot with three segments:
    1. From \( x = 0 \) to \( x = 1 \) m, the force increases linearly from 0 N to 4 N.
    2. From \( x = 1 \) to \( x = 2 \) m, the force is constant at 4 N.
    3. From \( x = 2 \) to \( x = 3 \) m, the force decreases linearly back to 0 N.

**Work Calculation:**

- **Part A:** Determine the work done on the particle during the interval from 0 to 1 meter.
  - **Input Field:** Enter the calculated work value with units.
  - **Note:** If previously submitted, no credit is lost; you may try again.

- **Part B:** Determine the work done on the particle during the interval from 1 to 2 meters.
  - **Input Field:** Enter the calculated work value with units.

**Method:**
Work is determined by calculating the area under the force-position graph for the specified intervals. The following steps can be taken:

1. **Calculate the Area for Part A (0-1 m):**
   - This segment is a triangle with a base of 1 m and height of 4 N.
   - Use the formula for the area of a triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).

2. **Calculate the Area for Part B (1-2 m):**
   - This segment is a rectangle with a base of 1 m and height of 4 N.
   - Use the formula for the area of a rectangle: \( \text{Area} = \text{base
Transcribed Image Text:**Understanding the Work Done on a Particle from a Force-Position Graph** **Overview:** The task involves determining the work done on a particle moving along the x-axis, as illustrated in a force-versus-position graph. This graph provides crucial insights into the relationship between force and displacement for the particle. **Graph Explanation:** - **Title:** Force vs. Position Graph - **Axes:** - The horizontal axis (x-axis) represents position in meters (m). - The vertical axis (y-axis) represents force in newtons (N). - **Plot Details:** - The graph consists of a piecewise linear plot with three segments: 1. From \( x = 0 \) to \( x = 1 \) m, the force increases linearly from 0 N to 4 N. 2. From \( x = 1 \) to \( x = 2 \) m, the force is constant at 4 N. 3. From \( x = 2 \) to \( x = 3 \) m, the force decreases linearly back to 0 N. **Work Calculation:** - **Part A:** Determine the work done on the particle during the interval from 0 to 1 meter. - **Input Field:** Enter the calculated work value with units. - **Note:** If previously submitted, no credit is lost; you may try again. - **Part B:** Determine the work done on the particle during the interval from 1 to 2 meters. - **Input Field:** Enter the calculated work value with units. **Method:** Work is determined by calculating the area under the force-position graph for the specified intervals. The following steps can be taken: 1. **Calculate the Area for Part A (0-1 m):** - This segment is a triangle with a base of 1 m and height of 4 N. - Use the formula for the area of a triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \). 2. **Calculate the Area for Part B (1-2 m):** - This segment is a rectangle with a base of 1 m and height of 4 N. - Use the formula for the area of a rectangle: \( \text{Area} = \text{base
**Part C**

Determine the work done on the particle during the interval 2-3 m.

Express your answer with the appropriate units.

\[ W_{2-3} = \]

- **Value** [Input Box]
- **Units** [Input Box]

Buttons available:
- Submit
- Request Answer 

Formatting options include:
- Various unit symbols.

Undo, redo, and help options are also available.
Transcribed Image Text:**Part C** Determine the work done on the particle during the interval 2-3 m. Express your answer with the appropriate units. \[ W_{2-3} = \] - **Value** [Input Box] - **Units** [Input Box] Buttons available: - Submit - Request Answer Formatting options include: - Various unit symbols. Undo, redo, and help options are also available.
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