Find ty, the magnitude of the final velocity of the two-block system. Express your answer numerically. View Available Hint(s) by Submit Part C 阿 | ΑΣΦ → ? m/s What is the change AK-Kal-Kiinial in the two-block system's kinetic energy due to the collision? Express your answer numerically in joules. View Available Hint(s)
Find ty, the magnitude of the final velocity of the two-block system. Express your answer numerically. View Available Hint(s) by Submit Part C 阿 | ΑΣΦ → ? m/s What is the change AK-Kal-Kiinial in the two-block system's kinetic energy due to the collision? Express your answer numerically in joules. View Available Hint(s)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Physics Problem: Two-Block Collision
#### Situation Description:
- Block 1, of mass \( m_1 = 4.30 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 2.30 \, \text{m/s} \).
- It collides with Block 2, of mass \( m_2 = 5.10 \, \text{kg} \), which was initially at rest.
- The blocks stick together after the collision.
The problem is divided into two parts (Part B and Part C) for analysis and solving specific questions about the system's final velocity and kinetic energy change post-collision.
#### Part B:
**Question:**
Find \( v_f \) (the magnitude of the final velocity) of the two-block system.
**Instruction:**
Express your answer numerically in meters per second (m/s).
**Input Field:**
\[ v_f \, = \, \_\_\_\_\_ \text{ m/s} \]
**Submit Button:**
[Submit]
#### Part C:
**Question:**
What is the change (\( \Delta K \)) in the kinetic energy of the two-block system due to the collision?
**Instruction:**
Express your answer numerically in joules (J).
**Input Field:**
\[ \Delta K \, = \, \_\_\_\_\_ \text{ J} \]
**Submit Button:**
[Submit]
#### Figure:
- The figure shows Block 1 and Block 2 before and after the collision.
- **Before collision:** Block 1 (labeled "1") is moving towards Block 2 (labeled "2"), which is stationary.
- **After collision:** Both blocks are stuck together and move as a single unit.
#### Explanation of Diagrams:
- **Before collision:**
- Block 1 is represented as a green rectangle moving to the right.
- Block 2 is represented as a red rectangle, initially stationary.
- **After collision:**
- Both blocks are represented as a combined unit moving to the right, implying they are stuck together and moving with the same final velocity \( v_f \).
---
**Note:** To solve the problem, apply the principles of conservation of momentum for Part B and kinetic energy conservation for practical understanding in Part C, considering the energy lost due to the inelastic nature of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7be57ba7-aca5-4231-94a7-c86a6ecf18d3%2F1fdc3874-51e9-4bf0-95c0-7a69a00b4e12%2Fzwiag5l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Two-Block Collision
#### Situation Description:
- Block 1, of mass \( m_1 = 4.30 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 2.30 \, \text{m/s} \).
- It collides with Block 2, of mass \( m_2 = 5.10 \, \text{kg} \), which was initially at rest.
- The blocks stick together after the collision.
The problem is divided into two parts (Part B and Part C) for analysis and solving specific questions about the system's final velocity and kinetic energy change post-collision.
#### Part B:
**Question:**
Find \( v_f \) (the magnitude of the final velocity) of the two-block system.
**Instruction:**
Express your answer numerically in meters per second (m/s).
**Input Field:**
\[ v_f \, = \, \_\_\_\_\_ \text{ m/s} \]
**Submit Button:**
[Submit]
#### Part C:
**Question:**
What is the change (\( \Delta K \)) in the kinetic energy of the two-block system due to the collision?
**Instruction:**
Express your answer numerically in joules (J).
**Input Field:**
\[ \Delta K \, = \, \_\_\_\_\_ \text{ J} \]
**Submit Button:**
[Submit]
#### Figure:
- The figure shows Block 1 and Block 2 before and after the collision.
- **Before collision:** Block 1 (labeled "1") is moving towards Block 2 (labeled "2"), which is stationary.
- **After collision:** Both blocks are stuck together and move as a single unit.
#### Explanation of Diagrams:
- **Before collision:**
- Block 1 is represented as a green rectangle moving to the right.
- Block 2 is represented as a red rectangle, initially stationary.
- **After collision:**
- Both blocks are represented as a combined unit moving to the right, implying they are stuck together and moving with the same final velocity \( v_f \).
---
**Note:** To solve the problem, apply the principles of conservation of momentum for Part B and kinetic energy conservation for practical understanding in Part C, considering the energy lost due to the inelastic nature of
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