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
icon
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.
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.*
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.*
Expert Solution
Step 1

Mechanical Engineering homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Design of Bearings
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.
Similar questions
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