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
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ISBN:9780190698614
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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.

---
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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