Q10. In the image below, the directions of the velocities of ball A and ball B before and after their collision are given. If the speeds are VÃ,1 = 10.9 m/s, VB,1 = 4.1 m/s, VA,2 = 2.0 m/s, and VB.2 = 7.6 m/s. Determine the coefficient of restitution e between ball A and ball B. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Your Answer: VA.1 Answer A Before collision V4.2 A After collision VB.1 VB.2 B B
Q10. In the image below, the directions of the velocities of ball A and ball B before and after their collision are given. If the speeds are VÃ,1 = 10.9 m/s, VB,1 = 4.1 m/s, VA,2 = 2.0 m/s, and VB.2 = 7.6 m/s. Determine the coefficient of restitution e between ball A and ball B. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. Your Answer: VA.1 Answer A Before collision V4.2 A After collision VB.1 VB.2 B B
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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![In the image, the directions of the velocities of ball A and ball B before and after their collision are illustrated. The given speeds are:
- Before collision:
- \( v_{A,1} = 10.9 \, \text{m/s} \) (ball A moving to the right)
- \( v_{B,1} = 4.1 \, \text{m/s} \) (ball B moving to the left)
- After collision:
- \( v_{A,2} = 2.0 \, \text{m/s} \) (ball A moving to the right)
- \( v_{B,2} = 7.6 \, \text{m/s} \) (ball B moving to the right)
The task is to determine the coefficient of restitution \( e \) between ball A and ball B.
### Diagram Explanation:
#### Before Collision:
- Ball A (blue) moves towards the right.
- Ball B (brown) moves towards the left.
#### After Collision:
- Both balls A and B move to the right.
### Calculating Coefficient of Restitution:
The coefficient of restitution \( e \) is calculated using the formula:
\[
e = \frac{v_{B,2} - v_{A,2}}{v_{A,1} - v_{B,1}}
\]
Plug in the values to find \( e \):
\[ e = \frac{7.6 \, \text{m/s} - 2.0 \, \text{m/s}}{10.9 \, \text{m/s} - 4.1 \, \text{m/s}} \]
Calculate and round your answer to three decimal places. Enter your answer in the provided box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2F6f021b78-c809-450e-aff3-067c9a92d30e%2F0ll1nz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the image, the directions of the velocities of ball A and ball B before and after their collision are illustrated. The given speeds are:
- Before collision:
- \( v_{A,1} = 10.9 \, \text{m/s} \) (ball A moving to the right)
- \( v_{B,1} = 4.1 \, \text{m/s} \) (ball B moving to the left)
- After collision:
- \( v_{A,2} = 2.0 \, \text{m/s} \) (ball A moving to the right)
- \( v_{B,2} = 7.6 \, \text{m/s} \) (ball B moving to the right)
The task is to determine the coefficient of restitution \( e \) between ball A and ball B.
### Diagram Explanation:
#### Before Collision:
- Ball A (blue) moves towards the right.
- Ball B (brown) moves towards the left.
#### After Collision:
- Both balls A and B move to the right.
### Calculating Coefficient of Restitution:
The coefficient of restitution \( e \) is calculated using the formula:
\[
e = \frac{v_{B,2} - v_{A,2}}{v_{A,1} - v_{B,1}}
\]
Plug in the values to find \( e \):
\[ e = \frac{7.6 \, \text{m/s} - 2.0 \, \text{m/s}}{10.9 \, \text{m/s} - 4.1 \, \text{m/s}} \]
Calculate and round your answer to three decimal places. Enter your answer in the provided box.
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