1. The spring force is F" = -k(x – xeq) where k is the spring constant. What are the SI units of the spring constant in term of Newtons and meters? In terms of kg, meters and seconds? in terms of N and m: in terms of kg, m, s:
1. The spring force is F" = -k(x – xeq) where k is the spring constant. What are the SI units of the spring constant in term of Newtons and meters? In terms of kg, meters and seconds? in terms of N and m: in terms of kg, m, s:
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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![### Spring Force and Work Analysis
1. **Spring Force Formula**:
The spring force is given by the equation \( F_x^{spr} = -k(x - x_{eq}) \), where \( k \) is the spring constant.
- **SI Units**:
- In terms of Newtons and meters: ________________
- In terms of kg, meters, and seconds: ________________
2. **Graph Analysis**:
- Use your graph of \( F_x \) vs. \( x \) to determine the spring constant \( k \) and the maximum distance \( D \) the spring was stretched during the experiment.
- \( k = \) ________________
- \( D = \) ________________
3. **Work Done Analysis**:
- Determine which force (the spring or you) did positive work and which did negative work on the cart during this process.
- **Note**: Think about the angle between each force and the displacement.
- Positive work: ________________
- Negative work: ________________
4. **Force Magnitude Analysis**:
- Since the acceleration is almost zero, the magnitudes of your applied force and spring force are approximately the same. Use the integration button to determine the work done by the spring force.
- **Note**: The integral is negative since we started at a large \( x \) and went to small \( x \).
5. **Elastic Potential Energy**:
- The work done against the spring force can be stored as elastic potential energy:
\[ U_{spr} = \frac{1}{2} k (x - x_{eq})^2 \]
- Use your values of \( k \) and \( D \) to determine the change in elastic potential energy stored in the spring. Compare this to the work done by the spring force.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc88a4be5-ce0c-4e25-871d-a0bd16127b90%2Fb4a43db8-3345-4e8c-b927-d012e308a2f5%2Fsjhj5wq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Spring Force and Work Analysis
1. **Spring Force Formula**:
The spring force is given by the equation \( F_x^{spr} = -k(x - x_{eq}) \), where \( k \) is the spring constant.
- **SI Units**:
- In terms of Newtons and meters: ________________
- In terms of kg, meters, and seconds: ________________
2. **Graph Analysis**:
- Use your graph of \( F_x \) vs. \( x \) to determine the spring constant \( k \) and the maximum distance \( D \) the spring was stretched during the experiment.
- \( k = \) ________________
- \( D = \) ________________
3. **Work Done Analysis**:
- Determine which force (the spring or you) did positive work and which did negative work on the cart during this process.
- **Note**: Think about the angle between each force and the displacement.
- Positive work: ________________
- Negative work: ________________
4. **Force Magnitude Analysis**:
- Since the acceleration is almost zero, the magnitudes of your applied force and spring force are approximately the same. Use the integration button to determine the work done by the spring force.
- **Note**: The integral is negative since we started at a large \( x \) and went to small \( x \).
5. **Elastic Potential Energy**:
- The work done against the spring force can be stored as elastic potential energy:
\[ U_{spr} = \frac{1}{2} k (x - x_{eq})^2 \]
- Use your values of \( k \) and \( D \) to determine the change in elastic potential energy stored in the spring. Compare this to the work done by the spring force.
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