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
icon
Related questions
Question
100%

- Once answered correctly will UPVOTE!! 

### 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} =
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} =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Slope and Deflection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY