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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The question is whether these relationships are linear or non-linear, can you please inform me on how I'd be able to tell?
![### Educational Content Transcription
**k. Coulomb's Law Equation**
\[ F_e = \frac{k q_1 q_2}{r^2} \]
- **Graph:** The graph accompanying this equation appears to plot Electric Force (\( F_e \)) on the vertical axis against Distance (\( r \)) on the horizontal axis. The graph shows a hyperbolic relationship indicating that as the distance (\( r \)) increases, the force (\( F_e \)) decreases.
- **Type:** The relationship represented by the equation and graph is an inverse square relationship. This means the force is inversely proportional to the square of the distance between two charges.
**l. Frequency and Period Relationship**
\[ T = \frac{1}{f} \]
- **Graph:** The graph here displays the Period (\( T \)) on the vertical axis and Frequency (\( f \)) on the horizontal axis. It demonstrates a reciprocal relationship where an increase in frequency results in a decrease in the period.
- **Type:** The depicted relationship is an inverse relationship, illustrating that period (\( T \)) is inversely proportional to frequency (\( f \)).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa40f3fd1-23ba-4f1f-97b3-a15fffb93688%2Ffca58a2e-594e-4644-8c87-60ba9f86e38f%2Fqt6c6td_processed.png&w=3840&q=75)
Transcribed Image Text:### Educational Content Transcription
**k. Coulomb's Law Equation**
\[ F_e = \frac{k q_1 q_2}{r^2} \]
- **Graph:** The graph accompanying this equation appears to plot Electric Force (\( F_e \)) on the vertical axis against Distance (\( r \)) on the horizontal axis. The graph shows a hyperbolic relationship indicating that as the distance (\( r \)) increases, the force (\( F_e \)) decreases.
- **Type:** The relationship represented by the equation and graph is an inverse square relationship. This means the force is inversely proportional to the square of the distance between two charges.
**l. Frequency and Period Relationship**
\[ T = \frac{1}{f} \]
- **Graph:** The graph here displays the Period (\( T \)) on the vertical axis and Frequency (\( f \)) on the horizontal axis. It demonstrates a reciprocal relationship where an increase in frequency results in a decrease in the period.
- **Type:** The depicted relationship is an inverse relationship, illustrating that period (\( T \)) is inversely proportional to frequency (\( f \)).
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