Q15. In the image below, disk A and disk B are approaching each other, and they have a mass of mA = 0.8 kg and mg = 2.3 kg, respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are VA,1 = 5.4 m/s and VB,1 5.5 m/s. If the coefficient of restitution between the balls is e = 0.4, determine the speed of disk B after collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. y VB,1- B VA,1 - A 3 5 ·X
Q15. In the image below, disk A and disk B are approaching each other, and they have a mass of mA = 0.8 kg and mg = 2.3 kg, respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are VA,1 = 5.4 m/s and VB,1 5.5 m/s. If the coefficient of restitution between the balls is e = 0.4, determine the speed of disk B after collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper Sl unit. y VB,1- B VA,1 - A 3 5 ·X
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
Related questions
Question
![**Problem Statement:**
Q15. In the image below, disk A and disk B are approaching each other, and they have a mass of \( m_A = 0.8 \, \text{kg} \) and \( m_B = 2.3 \, \text{kg} \), respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are \( v_{A,1} = 5.4 \, \text{m/s} \) and \( v_{B,1} = 5.5 \, \text{m/s} \). If the coefficient of restitution between the balls is \( e = 0.4 \), determine the speed of disk B after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper SI unit.
**Diagram Explanation:**
- **Diagram Overview:** The diagram shows two disks, A and B, colliding. Disk A is labeled with an initial velocity \( v_{A,1} \) pointing downward along the y-axis. Disk B’s initial velocity \( v_{B,1} \) is perpendicular to disk A’s velocity, pointing to the left along the x-axis.
- **Angle and Lines:** The collision plane forms a right triangle with the adjacent and opposite sides to the velocity vectors labeled as 3 and 4 respectively, indicating the angle's component proportions as 3:4:5.
**Input Fields:**
- **Your Answer (Speed of B after collision):** A text box is provided for inputting the numerical value of the speed with appropriate units. The answer should be given to three decimal places.
- **Units Field:** A separate field to indicate the units of the calculated speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2F4281da1e-fbef-4eac-9162-0a8048118f72%2Fxee2k5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Q15. In the image below, disk A and disk B are approaching each other, and they have a mass of \( m_A = 0.8 \, \text{kg} \) and \( m_B = 2.3 \, \text{kg} \), respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are \( v_{A,1} = 5.4 \, \text{m/s} \) and \( v_{B,1} = 5.5 \, \text{m/s} \). If the coefficient of restitution between the balls is \( e = 0.4 \), determine the speed of disk B after the collision. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper SI unit.
**Diagram Explanation:**
- **Diagram Overview:** The diagram shows two disks, A and B, colliding. Disk A is labeled with an initial velocity \( v_{A,1} \) pointing downward along the y-axis. Disk B’s initial velocity \( v_{B,1} \) is perpendicular to disk A’s velocity, pointing to the left along the x-axis.
- **Angle and Lines:** The collision plane forms a right triangle with the adjacent and opposite sides to the velocity vectors labeled as 3 and 4 respectively, indicating the angle's component proportions as 3:4:5.
**Input Fields:**
- **Your Answer (Speed of B after collision):** A text box is provided for inputting the numerical value of the speed with appropriate units. The answer should be given to three decimal places.
- **Units Field:** A separate field to indicate the units of the calculated speed.
![**Transcription for Educational Website:**
**Question 14:**
In the image below, disk \( A \) and disk \( B \) are approaching each other, and they have masses of \( m_A = 1.7 \, \text{kg} \) and \( m_B = 1.5 \, \text{kg} \), respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are \( v_{A,1} = 3.8 \, \text{m/s} \) and \( v_{B,1} = 2.4 \, \text{m/s} \). If the coefficient of restitution between the balls is \( e = 0.2 \), determine the speed of disk \( A \) after the collision. Please pay attention: *the numbers may change* since they are randomized. Your answer must include 3 places after the decimal point, and proper SI units.
**Image Explanation:**
The image shows two disks, labeled \( A \) and \( B \), that are about to collide. Disk \( A \) has an initial velocity \( v_{A,1} \) directed vertically downward (negative y-direction), while disk \( B \) has an initial velocity \( v_{B,1} \) directed horizontally to the left (negative x-direction). The contact plane between the disks is diagonal, with a slope indicated by a right triangle with sides labeled 3, 4, and hypotenuse 5.
**Answer Section:**
Your Answer: [ ] [ ]
*Ensure your answer is in proper SI units and includes three decimal places.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73e7c7d8-a37c-4d1e-af6f-0c5c8d6d1088%2F4281da1e-fbef-4eac-9162-0a8048118f72%2Flo1zt2k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
**Question 14:**
In the image below, disk \( A \) and disk \( B \) are approaching each other, and they have masses of \( m_A = 1.7 \, \text{kg} \) and \( m_B = 1.5 \, \text{kg} \), respectively. The directions of their initial velocities, as well as the plane of contact, are shown in the image, and the speeds are \( v_{A,1} = 3.8 \, \text{m/s} \) and \( v_{B,1} = 2.4 \, \text{m/s} \). If the coefficient of restitution between the balls is \( e = 0.2 \), determine the speed of disk \( A \) after the collision. Please pay attention: *the numbers may change* since they are randomized. Your answer must include 3 places after the decimal point, and proper SI units.
**Image Explanation:**
The image shows two disks, labeled \( A \) and \( B \), that are about to collide. Disk \( A \) has an initial velocity \( v_{A,1} \) directed vertically downward (negative y-direction), while disk \( B \) has an initial velocity \( v_{B,1} \) directed horizontally to the left (negative x-direction). The contact plane between the disks is diagonal, with a slope indicated by a right triangle with sides labeled 3, 4, and hypotenuse 5.
**Answer Section:**
Your Answer: [ ] [ ]
*Ensure your answer is in proper SI units and includes three decimal places.*
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