Rank the following items in order of INCREASING (low to high) kinetic energy. Provide an explanation for the ranking. v=2m/s v=0m/s v=4m/s v=3m/s m=20kg m=5kg m=8kg Object B Object C Object D m=10 kg Object A
Rank the following items in order of INCREASING (low to high) kinetic energy. Provide an explanation for the ranking. v=2m/s v=0m/s v=4m/s v=3m/s m=20kg m=5kg m=8kg Object B Object C Object D m=10 kg Object A
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 38P
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![**Title: Ranking Objects by Kinetic Energy**
**Objective:**
Rank the following items in order of increasing (low to high) kinetic energy. Provide an explanation for the ranking.
**Data for Each Object:**
- **Object A**:
- Velocity (\(v\)) = 2 m/s
- Mass (\(m\)) = 10 kg
- **Object B**:
- Velocity (\(v\)) = 0 m/s
- Mass (\(m\)) = 20 kg
- **Object C**:
- Velocity (\(v\)) = 4 m/s
- Mass (\(m\)) = 5 kg
- **Object D**:
- Velocity (\(v\)) = 3 m/s
- Mass (\(m\)) = 8 kg
**Explanation:**
The kinetic energy (\(KE\)) of an object is calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
**Calculation:**
1. **Object A:**
\[ KE = \frac{1}{2} \times 10 \, kg \times (2 \, m/s)^2 = 20 \, J \]
2. **Object B:**
\[ KE = \frac{1}{2} \times 20 \, kg \times (0 \, m/s)^2 = 0 \, J \]
3. **Object C:**
\[ KE = \frac{1}{2} \times 5 \, kg \times (4 \, m/s)^2 = 40 \, J \]
4. **Object D:**
\[ KE = \frac{1}{2} \times 8 \, kg \times (3 \, m/s)^2 = 36 \, J \]
**Ranking by Increasing Kinetic Energy:**
1. Object B: 0 J
2. Object A: 20 J
3. Object D: 36 J
4. Object C: 40 J
**Conclusion:**
By comparing the calculated kinetic energies, the order from lowest to highest is Object B, Object A, Object D, and Object C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66b3ab97-efdb-4690-86ae-d4c83b81eb12%2Fece97699-4282-42b3-b1e9-9cdb6dd87cfc%2Fpexlxah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Ranking Objects by Kinetic Energy**
**Objective:**
Rank the following items in order of increasing (low to high) kinetic energy. Provide an explanation for the ranking.
**Data for Each Object:**
- **Object A**:
- Velocity (\(v\)) = 2 m/s
- Mass (\(m\)) = 10 kg
- **Object B**:
- Velocity (\(v\)) = 0 m/s
- Mass (\(m\)) = 20 kg
- **Object C**:
- Velocity (\(v\)) = 4 m/s
- Mass (\(m\)) = 5 kg
- **Object D**:
- Velocity (\(v\)) = 3 m/s
- Mass (\(m\)) = 8 kg
**Explanation:**
The kinetic energy (\(KE\)) of an object is calculated using the formula:
\[ KE = \frac{1}{2} mv^2 \]
**Calculation:**
1. **Object A:**
\[ KE = \frac{1}{2} \times 10 \, kg \times (2 \, m/s)^2 = 20 \, J \]
2. **Object B:**
\[ KE = \frac{1}{2} \times 20 \, kg \times (0 \, m/s)^2 = 0 \, J \]
3. **Object C:**
\[ KE = \frac{1}{2} \times 5 \, kg \times (4 \, m/s)^2 = 40 \, J \]
4. **Object D:**
\[ KE = \frac{1}{2} \times 8 \, kg \times (3 \, m/s)^2 = 36 \, J \]
**Ranking by Increasing Kinetic Energy:**
1. Object B: 0 J
2. Object A: 20 J
3. Object D: 36 J
4. Object C: 40 J
**Conclusion:**
By comparing the calculated kinetic energies, the order from lowest to highest is Object B, Object A, Object D, and Object C.
Expert Solution

Step 1
Given data:
Four objects with different masses and velocities
Required:
The increasing order of the kinetic energy
Step by step
Solved in 3 steps

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