The two disks A and B have a mass of 3 kg and 5 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is e=0.75. Suppose that (VA)1 = 6 m/s, (UB)1 = 8 m/s. (Figure 1) Figure (VA) L B 60 Line of impact < 1 of 1 > ▾ Part A ▾ Determine the magnitude of the velocity of A just after impact. Express your answer to three significant figures and include the appropriate units. (VA)2= Value Submit Part B 0₁ = Submit HA Part C Determine the angle between the axis and the velocity of A just after impact, measured clockwise from the negative z axis. Express your answer in degrees to three significant figures. LIVE ΑΣΦ Ο vec S C Request Answer Submit Request Answer CHHA 6 → (VB)2 = Value Units Determine the magnitude of the velocity of B just after impact. Express your answer to three significant figures and include the appropriate units. Request Answer ? 13 ? Units ? 0

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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Problem Description

The two disks \( A \) and \( B \) have a mass of 3 kg and 5 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is \( e = 0.75 \). Suppose that \( (v_A)_1 = 6 \, \text{m/s} \), \( (v_B)_1 = 8 \, \text{m/s} \). 

### Figure Description

The illustration depicts two disks, \( A \) and \( B \), intersecting at an angle, with \( A \) on the left and \( B \) on the right. Disk \( A \) moves at an angle of 60° from the positive x-axis, and disk \( B \) moves horizontally along the positive x-axis. The point of interaction is labeled as the line of impact. The axes shown are \( x \) and \( y \).

### Parts of the Problem

#### Part B
Determine the angle between the x-axis and the velocity of \( A \) just after impact, measured clockwise from the negative x-axis.

- **Answer format:** Express your answer in degrees to three significant figures.

#### Part C
Determine the magnitude of the velocity of \( B \) just after impact.

- **Answer format:** Express your answer to three significant figures and include the appropriate units.

#### Part D
Determine the angle between the x-axis and the velocity of \( B \) just after impact, measured clockwise from the positive x-axis.

- **Answer format:** Express your answer in degrees to three significant figures.

### Instructions for Submission

- Each part includes a submission box where students can enter their answers.
Transcribed Image Text:### Problem Description The two disks \( A \) and \( B \) have a mass of 3 kg and 5 kg, respectively. They collide with the initial velocities shown. The coefficient of restitution is \( e = 0.75 \). Suppose that \( (v_A)_1 = 6 \, \text{m/s} \), \( (v_B)_1 = 8 \, \text{m/s} \). ### Figure Description The illustration depicts two disks, \( A \) and \( B \), intersecting at an angle, with \( A \) on the left and \( B \) on the right. Disk \( A \) moves at an angle of 60° from the positive x-axis, and disk \( B \) moves horizontally along the positive x-axis. The point of interaction is labeled as the line of impact. The axes shown are \( x \) and \( y \). ### Parts of the Problem #### Part B Determine the angle between the x-axis and the velocity of \( A \) just after impact, measured clockwise from the negative x-axis. - **Answer format:** Express your answer in degrees to three significant figures. #### Part C Determine the magnitude of the velocity of \( B \) just after impact. - **Answer format:** Express your answer to three significant figures and include the appropriate units. #### Part D Determine the angle between the x-axis and the velocity of \( B \) just after impact, measured clockwise from the positive x-axis. - **Answer format:** Express your answer in degrees to three significant figures. ### Instructions for Submission - Each part includes a submission box where students can enter their answers.
### Collisions of Disks A and B

The two disks A and B have a mass of \(3 \, \text{kg}\) and \(5 \, \text{kg}\), respectively. They collide with the initial velocities shown. The coefficient of restitution \(e = 0.75\). Suppose that \((v_{\text{A}})_1 = 6 \, \text{m/s}\), \((v_{\text{B}})_1 = 8 \, \text{m/s}\). (Refer to Figure 1).

#### Figure Description
The figure illustrates two disks, A and B, approaching each other on an x-y plane. Disk A has an initial velocity \((v_{\text{A}})_1\), and disk B has an initial velocity \((v_{\text{B}})_1\). The diagram also shows the line of impact.

### Problems

#### Part A
Determine the magnitude of the velocity of Disk A just after impact.
- **Input Field**: \((v_{\text{A}})_2 = \) [Value] [Units]

#### Part B
Determine the angle between the x-axis and the velocity of Disk A just after impact, measured clockwise from the negative x-axis.
- **Input Field**: \(\theta_1 = \) [Degrees]

#### Part C
Determine the magnitude of the velocity of Disk B just after impact.
- **Input Field**: \((v_{\text{B}})_2 = \) [Value] [Units]

### Instructions:
- Provide your answers in three significant figures.
- Include appropriate units for velocity measurements.

**Submit your answers via the provided fields.**
Transcribed Image Text:### Collisions of Disks A and B The two disks A and B have a mass of \(3 \, \text{kg}\) and \(5 \, \text{kg}\), respectively. They collide with the initial velocities shown. The coefficient of restitution \(e = 0.75\). Suppose that \((v_{\text{A}})_1 = 6 \, \text{m/s}\), \((v_{\text{B}})_1 = 8 \, \text{m/s}\). (Refer to Figure 1). #### Figure Description The figure illustrates two disks, A and B, approaching each other on an x-y plane. Disk A has an initial velocity \((v_{\text{A}})_1\), and disk B has an initial velocity \((v_{\text{B}})_1\). The diagram also shows the line of impact. ### Problems #### Part A Determine the magnitude of the velocity of Disk A just after impact. - **Input Field**: \((v_{\text{A}})_2 = \) [Value] [Units] #### Part B Determine the angle between the x-axis and the velocity of Disk A just after impact, measured clockwise from the negative x-axis. - **Input Field**: \(\theta_1 = \) [Degrees] #### Part C Determine the magnitude of the velocity of Disk B just after impact. - **Input Field**: \((v_{\text{B}})_2 = \) [Value] [Units] ### Instructions: - Provide your answers in three significant figures. - Include appropriate units for velocity measurements. **Submit your answers via the provided fields.**
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