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
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.
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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