(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
(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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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![**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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F114d112a-89da-40ea-8ec8-a25f26317aff%2Fd52efac5-bc14-4195-a8b9-438bc5c7ffa9%2F0rl64dp_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F114d112a-89da-40ea-8ec8-a25f26317aff%2Fd52efac5-bc14-4195-a8b9-438bc5c7ffa9%2F41pzyi9_processed.png&w=3840&q=75)
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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