**Title: Explosive Motion: Understanding Momentum Conservation****Introduction:**An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass \( m_A \) and piece B with mass \( m_B \). These pieces then move across the floor along an x-axis. Their motion is represented through a series of position versus time graphs below.**Graph Descriptions:**1. **Graph 1:** - **Axes:** Position (x-axis) versus Time (y-axis) - **Description:** Both piece A and piece B have diverging position lines indicating opposite directions from a common origin. This suggests a classic conservation of momentum scenario where both pieces move apart in opposite directions with respect to their initial point.2. **Graph 2:** - **Description:** Piece A remains stationary (horizontal line), while piece B moves in the positive x direction. This could represent a case where one piece remains at the explosion point while all momentum transfers to the other piece.3. **Graph 3:** - **Description:** Both pieces A and B move in the same direction. This is less likely for a momentum conservation scenario as explosions typically result in movement in opposite directions.4. **Graph 4:** - **Description:** Both pieces move apart in opposite directions similar to Graph 1, indicating another possible valid scenario for conservation of momentum.5. **Graph 5:** - **Description:** Both pieces move in opposite directions, but piece B's magnitude and slope are greater than A. This suggests that B received greater speed or had less mass than A.6. **Graph 6:** - **Description:** Piece A moves, while Piece B appears stationary. This is similar in logic to Graph 2 in relation to momentum transfer.**Question: Which graphs pertain to physically possible explosions?**- Graph 1- Graph 2- Graphs 2, 4, and 5- Graphs 1 and 6- Graphs 1 and 3- None of the aboveUnderstanding these graphs is crucial in applying principles of momentum conservation. Each graph needs to satisfy the law of conservation of momentum to be physically accurate. Evaluate and determine which scenarios mathematically align with the principles governing an explosive reaction on a frictionless surface.

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Description: **Title: Explosive Motion: Understanding Momentum Conservation****Introduction:**An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass \( m_A \) and piece B with mass \( m_B \). These pieces then move across

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An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass ma and piece B with mass mg. These pieces then move across the floor along an x-axis. Graphs of position versus time for the two pieces are given below. (1) (2) (3) (4) (5) (6) Which graphs pertain to physically possible explosions? O Graph 1 O Graph 2 o Graphs 2, 4, and 5 O Graphs 1 and 6 O Graphs 1 and 3 O None of the above.

An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass ma and piece B with mass mg. These pieces then move across the floor along an x-axis. Graphs of position versus time for the two pieces are given below. (1) (2) (3) (4) (5) (6) Which graphs pertain to physically possible explosions? O Graph 1 O Graph 2 o Graphs 2, 4, and 5 O Graphs 1 and 6 O Graphs 1 and 3 O None of the above.

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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Question

**Title: Explosive Motion: Understanding Momentum Conservation**

**Introduction:**

An initially stationary box on a frictionless floor explodes into two pieces: piece A with mass \( m_A \) and piece B with mass \( m_B \). These pieces then move across the floor along an x-axis. Their motion is represented through a series of position versus time graphs below.

**Graph Descriptions:**

1. **Graph 1:**
- **Axes:** Position (x-axis) versus Time (y-axis)
- **Description:** Both piece A and piece B have diverging position lines indicating opposite directions from a common origin. This suggests a classic conservation of momentum scenario where both pieces move apart in opposite directions with respect to their initial point.

2. **Graph 2:**
- **Description:** Piece A remains stationary (horizontal line), while piece B moves in the positive x direction. This could represent a case where one piece remains at the explosion point while all momentum transfers to the other piece.

3. **Graph 3:**
- **Description:** Both pieces A and B move in the same direction. This is less likely for a momentum conservation scenario as explosions typically result in movement in opposite directions.

4. **Graph 4:**
- **Description:** Both pieces move apart in opposite directions similar to Graph 1, indicating another possible valid scenario for conservation of momentum.

5. **Graph 5:**
- **Description:** Both pieces move in opposite directions, but piece B's magnitude and slope are greater than A. This suggests that B received greater speed or had less mass than A.

6. **Graph 6:**
- **Description:** Piece A moves, while Piece B appears stationary. This is similar in logic to Graph 2 in relation to momentum transfer.

**Question: Which graphs pertain to physically possible explosions?**

- Graph 1
- Graph 2
- Graphs 2, 4, and 5
- Graphs 1 and 6
- Graphs 1 and 3
- None of the above

Understanding these graphs is crucial in applying principles of momentum conservation. Each graph needs to satisfy the law of conservation of momentum to be physically accurate. Evaluate and determine which scenarios mathematically align with the principles governing an explosive reaction on a frictionless surface.

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