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. HÀ ? Value Units v = Submit Request Answer Provide Feedback Figure < 1 of 1 >
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. HÀ ? Value Units v = Submit Request Answer Provide Feedback Figure < 1 of 1 >
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 of a Bus and a Car
**Problem Description:**
The 5-Mg (megagram) 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.
#### Task:
**Part A:** Determine their common velocity just after the collision. Express your answer to three significant figures and include the appropriate units.
**Calculation Box:**
\[ v = \boxed{\text{Value}} \boxed{\text{Units}} \]
Submit your calculated value above by clicking "Submit."
---
**Figure:**
A diagram depicts the initial conditions of the problem. The left side shows a blue bus labeled \( B \), traveling to the right with an indicated velocity \( v_B \). On the right side of the bus, there is a yellow car labeled \( A \), also traveling to the right with an indicated velocity \( v_A \).
**Key Points for Students:**
- Understand the principle of conservation of momentum, which states that the total momentum of a closed system remains constant if it is not subjected to external forces.
- Use the formula for conservation of linear momentum for the calculation:
\[
(m_B \cdot v_B + m_A \cdot v_A) = (m_B + m_A) \cdot v_{\text{final}}
\]
where \( m_B \) and \( m_A \) are the masses of the bus and the car, respectively, and \( v_{\text{final}} \) is the common velocity just after the collision.
By solving the equation, you can find the velocity of the combined mass of the bus and car after they become entangled.
---
This problem helps illustrate the application of the conservation of momentum in collisions and provides practice with significant figures in physics calculations. Be sure to double-check units and arithmetic to ensure accuracy in your final answer.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d7e9b1-7208-47e7-acf1-5a4d04c3ff3b%2Fa60e923d-5183-45f6-b79b-ab873580d8a2%2Fojjoqqn_processed.png&w=3840&q=75)
Transcribed Image Text:---
### Physics Problem: Collision of a Bus and a Car
**Problem Description:**
The 5-Mg (megagram) 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.
#### Task:
**Part A:** Determine their common velocity just after the collision. Express your answer to three significant figures and include the appropriate units.
**Calculation Box:**
\[ v = \boxed{\text{Value}} \boxed{\text{Units}} \]
Submit your calculated value above by clicking "Submit."
---
**Figure:**
A diagram depicts the initial conditions of the problem. The left side shows a blue bus labeled \( B \), traveling to the right with an indicated velocity \( v_B \). On the right side of the bus, there is a yellow car labeled \( A \), also traveling to the right with an indicated velocity \( v_A \).
**Key Points for Students:**
- Understand the principle of conservation of momentum, which states that the total momentum of a closed system remains constant if it is not subjected to external forces.
- Use the formula for conservation of linear momentum for the calculation:
\[
(m_B \cdot v_B + m_A \cdot v_A) = (m_B + m_A) \cdot v_{\text{final}}
\]
where \( m_B \) and \( m_A \) are the masses of the bus and the car, respectively, and \( v_{\text{final}} \) is the common velocity just after the collision.
By solving the equation, you can find the velocity of the combined mass of the bus and car after they become entangled.
---
This problem helps illustrate the application of the conservation of momentum in collisions and provides practice with significant figures in physics calculations. Be sure to double-check units and arithmetic to ensure accuracy in your final answer.
---
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