Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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The two disks AA and BB have a mass of 4 kgkg and 6 kgkg , respectively. They collide with the initial velocities shown. The coefficient of restitution is eee = 0.75. Suppose that (vA)1(vA)1va = 6 m/sm/s , (vB)1(vB)1vb = 8 m/sm/s
Determine the magnitude of the velocity of AA just after impact.
Determine the angle between the xx axis and the velocity of AA just after impact, measured clockwise from the negative xx axis.
![### Collision of Two Disks
#### Problem Description
Two disks, labeled \( A \) and \( B \), have masses of 4 kg and 6 kg, respectively. They collide with the initial velocities shown in the diagram. The coefficient of restitution for the collision is \( e = 0.75 \). The initial velocities are given as \( (v_{A})_1 = 6 \, \text{m/s} \) for disk \( A \) and \( (v_{B})_1 = 8 \, \text{m/s} \) for disk \( B \).
#### Diagram
The diagram illustrates two disks labeled \( A \) and \( B \), moving towards each other. Disk \( A \) is moving to the right with an initial velocity \( (v_{A})_1 \). Disk \( B \) is moving at an angle of \( 60^\circ \) with respect to the horizontal axis. The line of impact is indicated as the point where the disks come into contact.
### Questions
#### Part A
Determine the magnitude of the velocity of disk \( A \) just after the impact. Provide your answer with three significant figures and include the appropriate units.
\[ (v_{A})_2 = \]
\[ \text{Value} \ \text{Units} \]
#### Part B
Determine the angle between the \( x \)-axis and the velocity of disk \( A \) just after the impact. The angle should be measured clockwise from the negative \( x \)-axis. Express your answer with three significant figures.
\[ \theta_1 = \]
#### Part C
(No additional details provided in the image for Part C)
### Additional Notes
To solve these problems, apply the principles of conservation of momentum and the definition of the coefficient of restitution. Analyze the components of motion along the indicated axes and apply vector analysis to determine the required values.](https://content.bartleby.com/qna-images/question/98ba27a3-ab69-49b1-ad1c-2aa6f8226754/515c0f5c-3ce7-4303-88be-4e1e45b8bf0a/nlmfldx_processed.png)
Transcribed Image Text:### Collision of Two Disks
#### Problem Description
Two disks, labeled \( A \) and \( B \), have masses of 4 kg and 6 kg, respectively. They collide with the initial velocities shown in the diagram. The coefficient of restitution for the collision is \( e = 0.75 \). The initial velocities are given as \( (v_{A})_1 = 6 \, \text{m/s} \) for disk \( A \) and \( (v_{B})_1 = 8 \, \text{m/s} \) for disk \( B \).
#### Diagram
The diagram illustrates two disks labeled \( A \) and \( B \), moving towards each other. Disk \( A \) is moving to the right with an initial velocity \( (v_{A})_1 \). Disk \( B \) is moving at an angle of \( 60^\circ \) with respect to the horizontal axis. The line of impact is indicated as the point where the disks come into contact.
### Questions
#### Part A
Determine the magnitude of the velocity of disk \( A \) just after the impact. Provide your answer with three significant figures and include the appropriate units.
\[ (v_{A})_2 = \]
\[ \text{Value} \ \text{Units} \]
#### Part B
Determine the angle between the \( x \)-axis and the velocity of disk \( A \) just after the impact. The angle should be measured clockwise from the negative \( x \)-axis. Express your answer with three significant figures.
\[ \theta_1 = \]
#### Part C
(No additional details provided in the image for Part C)
### Additional Notes
To solve these problems, apply the principles of conservation of momentum and the definition of the coefficient of restitution. Analyze the components of motion along the indicated axes and apply vector analysis to determine the required values.
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- The two disks A and B have a mass of 4 kg and 5 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.7. Suppose that (VA)1 = 6 m/s, (VB)₁ = 7 m/s. (Figure 1) Determine the magnitude of the velocity of A just after impact. Express your answer to three significant figures and include the appropriate units. με ? (VA)2= Value Units igure (VB)1 B (VA)1 60° Line of impact Submit Request Answer Part B Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis. Express your answer in degrees to three significant figures. ΜΕ ΑΣΦ Η vec 0₁ = 1 of 1 Submit Request Answer Part C ? Determine the magnitude of the velocity of B just after impact. Express your answer to three significant figures and include the appropriate units. HÅ ? (VB)2= Value Unitsarrow_forwardIf it is originally at rest, determine its speed when 9 s. Neglect the effect of water resistance. Express your answer to three significant figures and include the appropriate unitsarrow_forwardt Collar A (30 kg) and collar 8 (18 kg) slide along the smooth rod with the given velocities when they collide with each other. If the coefficient of restitution between the two collars is e0.75, determine the velocities of collar A and collar 8 after the collision using conservation of momentum and the coefficient of restitution. 5 m/s 10 m/sarrow_forward
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