Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are: Ball Mass Initial Velocity 1 2.5 kg 2 1.5 kg 2 m/s 1 m/s 3 1.23 kg -0.43 m/s 4 1.02 kg -0.32 m/s

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Chapter1: Units, Trigonometry. And Vectors
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**Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are:**

| Ball | Mass    | Initial Velocity |
|------|---------|------------------|
| 1    | 2.5 kg  | 2 m/s            |
| 2    | 1.5 kg  | 1 m/s            |
| 3    | 1.23 kg | -0.43 m/s        |
| 4    | 1.02 kg | -0.32 m/s        |

**Diagram Explanation:**

The diagram below depicts four distinct balls, each represented by a colored circle and labeled with numbers 1 through 4. Each ball has an arrow, indicating its velocity direction and magnitude. The arrows are colored green.

- **Ball 1** (red) is moving to the right.
- **Ball 2** (green) is also moving to the right.
- **Ball 3** (blue) moves to the left, meaning it has a negative velocity.
- **Ball 4** (pink) is similarly moving to the left with a negative velocity.

At the bottom, the image shows the balls lined up together in the sequence of their numbered labels, indicating they have collided and are stuck together, now moving as a single unit.

### Physics Concept:
This scenario involves the conservation of momentum, where the total momentum before the collision is equal to the total momentum after the collision. This principle allows us to calculate the final velocity of the combined mass system.
Transcribed Image Text:**Four balls collide and stick together as shown. What is the final velocity of the set given the masses and velocities before colliding are:** | Ball | Mass | Initial Velocity | |------|---------|------------------| | 1 | 2.5 kg | 2 m/s | | 2 | 1.5 kg | 1 m/s | | 3 | 1.23 kg | -0.43 m/s | | 4 | 1.02 kg | -0.32 m/s | **Diagram Explanation:** The diagram below depicts four distinct balls, each represented by a colored circle and labeled with numbers 1 through 4. Each ball has an arrow, indicating its velocity direction and magnitude. The arrows are colored green. - **Ball 1** (red) is moving to the right. - **Ball 2** (green) is also moving to the right. - **Ball 3** (blue) moves to the left, meaning it has a negative velocity. - **Ball 4** (pink) is similarly moving to the left with a negative velocity. At the bottom, the image shows the balls lined up together in the sequence of their numbered labels, indicating they have collided and are stuck together, now moving as a single unit. ### Physics Concept: This scenario involves the conservation of momentum, where the total momentum before the collision is equal to the total momentum after the collision. This principle allows us to calculate the final velocity of the combined mass system.
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