The 5-Mg bus B is traveling to the right at vg = 16 m/s. Meanwhile a 2-Mg car A is traveling at va = 13 m/s to the right. the Vehicles crash and become entangled. Assume that the vehicles are free to roll during collision. (Figure 1) Part A Determine their common velocity just after the collision. Express your answer to three significant figures and include the appropriate units. m v = 13.9 S Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Figure 1 of 1 Provide Feedback
The 5-Mg bus B is traveling to the right at vg = 16 m/s. Meanwhile a 2-Mg car A is traveling at va = 13 m/s to the right. the Vehicles crash and become entangled. Assume that the vehicles are free to roll during collision. (Figure 1) Part A Determine their common velocity just after the collision. Express your answer to three significant figures and include the appropriate units. m v = 13.9 S Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Figure 1 of 1 Provide Feedback
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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![### Physics Problem: Collision Analysis
**Problem Statement:**
The 5-Mg bus \( B \) is traveling to the right at \( v_B = 16 \, \text{m/s} \). Meanwhile, a 2-Mg car \( A \) is traveling at \( v_A = 13 \, \text{m/s} \) to the right. The vehicles crash and become entangled. Assume that the vehicles are free to roll during the collision. (Figure 1)
**Part A:**
Determine their common velocity just after the collision.
Express your answer to three significant figures and include the appropriate units.
**Input Box for Answer:**
\[ v = \, \underline{\hspace{3cm}} \]
**Student's Attempt:**
\[ v = 13.9 \, \text{m/s} \]
**Feedback:**
Incorrect; Try Again; 3 attempts remaining.
**Figure Explanation:**
The figure labeled "Figure 1" illustrates two vehicles just before collision:
- On the left side, there is a bus labeled \( B \) with an arrow indicating it is moving to the right at a velocity of \( v_B = 16 \, \text{m/s} \).
- On the right side, there is a car labeled \( A \) with an arrow indicating it is moving to the right at a velocity of \( v_A = 13 \, \text{m/s} \).
Both vehicles are moving in the same direction towards the right of the image.
### Solution Steps:
To find the common velocity (\( v \)) of the entangled vehicles just after the collision, we use the principle of conservation of linear momentum:
1. **Determine the total momentum before the collision:**
- Momentum of the bus, \( p_B \):
\[
p_B = m_B \cdot v_B = 5 \times 10^3 \, \text{kg} \times 16 \, \text{m/s} = 80 \times 10^3 \, \text{kg} \cdot \text{m/s}
\]
- Momentum of the car, \( p_A \):
\[
p_A = m_A \cdot v_A = 2 \times 10^3 \, \text{kg} \times 13 \, \text{m/s} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d7e9b1-7208-47e7-acf1-5a4d04c3ff3b%2Fc5be5997-4acb-43c9-a1b6-bb1be7fdbcd9%2F9zq96p8_processed.png&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Collision Analysis
**Problem Statement:**
The 5-Mg bus \( B \) is traveling to the right at \( v_B = 16 \, \text{m/s} \). Meanwhile, a 2-Mg car \( A \) is traveling at \( v_A = 13 \, \text{m/s} \) to the right. The vehicles crash and become entangled. Assume that the vehicles are free to roll during the collision. (Figure 1)
**Part A:**
Determine their common velocity just after the collision.
Express your answer to three significant figures and include the appropriate units.
**Input Box for Answer:**
\[ v = \, \underline{\hspace{3cm}} \]
**Student's Attempt:**
\[ v = 13.9 \, \text{m/s} \]
**Feedback:**
Incorrect; Try Again; 3 attempts remaining.
**Figure Explanation:**
The figure labeled "Figure 1" illustrates two vehicles just before collision:
- On the left side, there is a bus labeled \( B \) with an arrow indicating it is moving to the right at a velocity of \( v_B = 16 \, \text{m/s} \).
- On the right side, there is a car labeled \( A \) with an arrow indicating it is moving to the right at a velocity of \( v_A = 13 \, \text{m/s} \).
Both vehicles are moving in the same direction towards the right of the image.
### Solution Steps:
To find the common velocity (\( v \)) of the entangled vehicles just after the collision, we use the principle of conservation of linear momentum:
1. **Determine the total momentum before the collision:**
- Momentum of the bus, \( p_B \):
\[
p_B = m_B \cdot v_B = 5 \times 10^3 \, \text{kg} \times 16 \, \text{m/s} = 80 \times 10^3 \, \text{kg} \cdot \text{m/s}
\]
- Momentum of the car, \( p_A \):
\[
p_A = m_A \cdot v_A = 2 \times 10^3 \, \text{kg} \times 13 \, \text{m/s} =
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