The two disks A and B have a mass of 4 kg and 6 kg , respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.65. Suppose that (vA)1 = 6 m/s , (vB)1 = 7 m/s Determine the magnitude of the velocity of A just after impact.Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis.Determine the magnitude of the velocity of B just after impact.Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis. ### Collision of Two Disks#### Scenario Description:The two disks, **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 is \( e = 0.85 \). The initial velocities are given as \( (v_{A1}) = 6 \, \text{m/s} \) and \( (v_{B1}) = 7 \, \text{m/s} \).#### Diagram Explanation:- The diagram displays two disks, **A** and **B**, at the point of impact. - Disk **A** has an initial velocity vector \( v_{A1} \) directed horizontally along the positive x-axis.- Disk **B** has an initial velocity vector \( v_{B1} \) angled at 60° from the line of impact.- The line of impact is defined between the two centers of the disks at collision.- An x-y coordinate system is provided for reference.#### Required Calculations:1. **Magnitude of the velocity of \( A \) just after impact:** - Calculate and express in m/s using three significant figures. \[ (v_{A2}) = \text{Value} \, \text{Units} \]2. **Angle between the x-axis and the velocity of \( A \) just after impact:** - Measure clockwise from the negative x-axis and express in degrees using three significant figures. \[ \theta_1 = \text{Value}^\circ \]3. **Magnitude of the velocity of \( B \) just after impact:** - Calculate and express in m/s using three significant figures. \[ (v_{B2}) = \text{Value} \, \text{Units} \]4. **Angle between the x-axis and the velocity of \( B \) just after impact:** - Measure clockwise from the positive x-axis and express in degrees using three significant figures. \[ \theta_2 = \text{Value}^\circ \]

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Answered: The two disks A and B have a mass of 4…

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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The two disks A and B have a mass of 4 kg and 6 kg , respectively. They collide with the initial velocities shown. The coefficient of restitution is e = 0.65. Suppose that (vA)1 = 6 m/s , (vB)1 = 7 m/s

Determine the magnitude of the velocity of A just after impact.

Determine the angle between the x axis and the velocity of A just after impact, measured clockwise from the negative x axis.

Determine the magnitude of the velocity of B just after impact.

Determine the angle between the x axis and the velocity of B just after impact, measured clockwise from the positive x axis.

### Collision of Two Disks

#### Scenario Description:
The two disks, **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 is \( e = 0.85 \). The initial velocities are given as \( (v_{A1}) = 6 \, \text{m/s} \) and \( (v_{B1}) = 7 \, \text{m/s} \).

#### Diagram Explanation:
- The diagram displays two disks, **A** and **B**, at the point of impact.
- Disk **A** has an initial velocity vector \( v_{A1} \) directed horizontally along the positive x-axis.
- Disk **B** has an initial velocity vector \( v_{B1} \) angled at 60° from the line of impact.
- The line of impact is defined between the two centers of the disks at collision.
- An x-y coordinate system is provided for reference.

#### Required Calculations:
1. **Magnitude of the velocity of \( A \) just after impact:**
- Calculate and express in m/s using three significant figures.

\[
(v_{A2}) = \text{Value} \, \text{Units}
\]

2. **Angle between the x-axis and the velocity of \( A \) just after impact:**
- Measure clockwise from the negative x-axis and express in degrees using three significant figures.

\[
\theta_1 = \text{Value}^\circ
\]

3. **Magnitude of the velocity of \( B \) just after impact:**
- Calculate and express in m/s using three significant figures.

\[
(v_{B2}) = \text{Value} \, \text{Units}
\]

4. **Angle between the x-axis and the velocity of \( B \) just after impact:**
- Measure clockwise from the positive x-axis and express in degrees using three significant figures.

\[
\theta_2 = \text{Value}^\circ
\]

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