R-1201 -3.4 N=-x (0.22 m) 10 N=x (22 kg)(0.02 kg) (0.091 m)2 Introduction to Engineering x has units of x has units of because of Rule # because of Rule # Fall 2022
R-1201 -3.4 N=-x (0.22 m) 10 N=x (22 kg)(0.02 kg) (0.091 m)2 Introduction to Engineering x has units of x has units of because of Rule # because of Rule # Fall 2022
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Course Title: Introduction to Engineering**
**Term: Fall 2022**
---
### Problem 1:
Given the equation:
\[
-3.4 \, \text{N} = -x \cdot (0.22 \, \text{m})
\]
#### Question:
\(x\) has units of _______________ because of Rule # _____.
---
### Problem 2:
Given the equation:
\[
10 \, \text{N} = x \left(\frac{(22 \, \text{kg})(0.02 \, \text{kg})}{(0.091 \, \text{m})^2}\right)
\]
#### Question:
\(x\) has units of _______________ because of Rule # _____.
---
Note: Determine the units of \(x\) in each case using unit analysis and reference the appropriate rule that justifies the units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25b167f9-3118-479d-a9fb-f8c446c41f1a%2F6f80dd09-76b5-401e-9300-5e89f4becee3%2F7hsimq_processed.png&w=3840&q=75)
Transcribed Image Text:**Course Title: Introduction to Engineering**
**Term: Fall 2022**
---
### Problem 1:
Given the equation:
\[
-3.4 \, \text{N} = -x \cdot (0.22 \, \text{m})
\]
#### Question:
\(x\) has units of _______________ because of Rule # _____.
---
### Problem 2:
Given the equation:
\[
10 \, \text{N} = x \left(\frac{(22 \, \text{kg})(0.02 \, \text{kg})}{(0.091 \, \text{m})^2}\right)
\]
#### Question:
\(x\) has units of _______________ because of Rule # _____.
---
Note: Determine the units of \(x\) in each case using unit analysis and reference the appropriate rule that justifies the units.
![Determine the units of the variable \( x \) in each of the following equations, and specify which rule you used to determine this. Do not solve for the numeric value of \( x \). Show your work beneath the question, or on a separate sheet of paper.
### Example:
\[ 315 \, \text{feet} = \frac{1}{2} \left(32 \, \frac{\text{feet}}{\text{seconds}^2}\right)x^2 \]
\( x \) has units of **seconds** because of Rule #**1**.
### Rules:
- **Rule #1**: Both sides of the equal sign must have the same units.
- **Rule #2**: Values that are added or subtracted must have the same units.
- **Rule #3**: Argument of a trig function must be an angle.
- **Rule #4**: Argument of an inverse trig function must have no units.
- **Rule #5**: Exponents must have no units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25b167f9-3118-479d-a9fb-f8c446c41f1a%2F6f80dd09-76b5-401e-9300-5e89f4becee3%2F7uwrhpq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine the units of the variable \( x \) in each of the following equations, and specify which rule you used to determine this. Do not solve for the numeric value of \( x \). Show your work beneath the question, or on a separate sheet of paper.
### Example:
\[ 315 \, \text{feet} = \frac{1}{2} \left(32 \, \frac{\text{feet}}{\text{seconds}^2}\right)x^2 \]
\( x \) has units of **seconds** because of Rule #**1**.
### Rules:
- **Rule #1**: Both sides of the equal sign must have the same units.
- **Rule #2**: Values that are added or subtracted must have the same units.
- **Rule #3**: Argument of a trig function must be an angle.
- **Rule #4**: Argument of an inverse trig function must have no units.
- **Rule #5**: Exponents must have no units.
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