A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (* -) 0- m cm 88. I- ? S
A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (* -) 0- m cm 88. I- ? S
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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I need the missing UNITS example screen shotprovided
![**Measurement: Setting up a One-Step Unit Conversion**
**Instructions:**
A student sets up the following equation to convert a measurement.
(The ? stands for a number the student is going to calculate.)
Fill in the missing part of this equation.
**Equation:**
\[ 88 \, \left( \frac{\text{m}}{\text{s}} \right) \cdot \Box = ? \, \left( \frac{\text{cm}}{\text{s}} \right) \]
---
**Explanation:**
To convert from meters per second (m/s) to centimeters per second (cm/s), you need to recognize that 1 meter = 100 centimeters. Therefore, you need to multiply by 100 to convert meters to centimeters.
The equation is set up to fill in the missing part which is likely the conversion factor needed to convert from meters to centimeters. After applying the conversion factor, you should get the speed in centimeters per second.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2c0c3a-e2bd-4b4f-80c2-9bb7f6ec9413%2F49fc4e77-9632-4e00-a3c1-3426ffe0609b%2Frgndne_processed.png&w=3840&q=75)
Transcribed Image Text:**Measurement: Setting up a One-Step Unit Conversion**
**Instructions:**
A student sets up the following equation to convert a measurement.
(The ? stands for a number the student is going to calculate.)
Fill in the missing part of this equation.
**Equation:**
\[ 88 \, \left( \frac{\text{m}}{\text{s}} \right) \cdot \Box = ? \, \left( \frac{\text{cm}}{\text{s}} \right) \]
---
**Explanation:**
To convert from meters per second (m/s) to centimeters per second (cm/s), you need to recognize that 1 meter = 100 centimeters. Therefore, you need to multiply by 100 to convert meters to centimeters.
The equation is set up to fill in the missing part which is likely the conversion factor needed to convert from meters to centimeters. After applying the conversion factor, you should get the speed in centimeters per second.
![### Conversion of Units: From Grams to Kilograms
#### Problem Statement:
Convert the given value with grams to a value with kilograms.
#### Given:
\[ \left( -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \right) \cdot \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right) = ? \]
#### Solution:
To convert from grams (g) to kilograms (kg), we use the conversion factor:
\[ 1 \, \text{kg} = 10^3 \, \text{g} \]
#### Steps:
1. **Identify the given quantity and the conversion factor:**
\[ \text{Given Quantity:} -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \]
\[ \text{Conversion Factor:} \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right) \]
2. **Multiply the given quantity by the conversion factor to change the units:**
\[
\left( -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \right) \cdot \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right)
\]
3. **Simplify the expression:**
\[
-4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \cdot \frac{1}{10^3} \, \frac{\text{kg}}{\text{g}}
\]
4. **Cancel out the grams (g) units and perform the multiplication:**
\[
= -4.0 \times 10^4 \cdot \frac{1}{10^3} \, \frac{\text{kg} \cdot \text{m}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2c0c3a-e2bd-4b4f-80c2-9bb7f6ec9413%2F49fc4e77-9632-4e00-a3c1-3426ffe0609b%2Fd1mjmv_processed.png&w=3840&q=75)
Transcribed Image Text:### Conversion of Units: From Grams to Kilograms
#### Problem Statement:
Convert the given value with grams to a value with kilograms.
#### Given:
\[ \left( -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \right) \cdot \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right) = ? \]
#### Solution:
To convert from grams (g) to kilograms (kg), we use the conversion factor:
\[ 1 \, \text{kg} = 10^3 \, \text{g} \]
#### Steps:
1. **Identify the given quantity and the conversion factor:**
\[ \text{Given Quantity:} -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \]
\[ \text{Conversion Factor:} \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right) \]
2. **Multiply the given quantity by the conversion factor to change the units:**
\[
\left( -4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \right) \cdot \left( \frac{1 \, \text{kg}}{10^3 \, \text{g}} \right)
\]
3. **Simplify the expression:**
\[
-4.0 \times 10^4 \, \frac{\text{g} \cdot \text{m}^2}{\text{s}^2} \cdot \frac{1}{10^3} \, \frac{\text{kg}}{\text{g}}
\]
4. **Cancel out the grams (g) units and perform the multiplication:**
\[
= -4.0 \times 10^4 \cdot \frac{1}{10^3} \, \frac{\text{kg} \cdot \text{m}
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