The next two questions refer to the following situation: Two masses travel at the same speed, and they collide at the origin. After the collision, the two masses are stuck together. The mass, M₁, of the object traveling in the positive x-direction is 1 kg. After the collision the combined masses travel at 30° with respect to the x-axis, as shown. 2. The kinetic energy after the collision is + 0=30° Equal to the kinetic energy before the collision. OSmaller than the kinetic energy before the collision. Larger than the kinetic energy before the collision.

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**Collision of Two Masses and Kinetic Energy Analysis**

The following scenario illustrates the collision of two masses:

**Situation:**

Two masses travel at the same speed and collide at the origin. After the collision, the two masses stick together. The mass \( M_1 \) of the object traveling in the positive x-direction is 1 kg. After the collision, the combined masses travel at an angle of 30° with respect to the x-axis.

- **Diagram Explanation:**
  - Before collision: 
    - Two objects labeled as 1 and 2 are moving toward each other. Both are shown with velocity \( v \).
  - After collision: 
    - The combined masses (1 and 2) move together in a single direction at an angle \( \theta = 30^\circ \) relative to the x-axis.

**Question:**

2. The kinetic energy after the collision is
   - ⭕ Equal to the kinetic energy before the collision.
   - ○ Smaller than the kinetic energy before the collision.
   - ○ Larger than the kinetic energy before the collision.

**Explanation:**

The question asks about the kinetic energy comparison before and after the collision event. The possible options provided are to evaluate whether the kinetic energy remains equal, becomes smaller, or becomes larger after the collision.
Transcribed Image Text:**Collision of Two Masses and Kinetic Energy Analysis** The following scenario illustrates the collision of two masses: **Situation:** Two masses travel at the same speed and collide at the origin. After the collision, the two masses stick together. The mass \( M_1 \) of the object traveling in the positive x-direction is 1 kg. After the collision, the combined masses travel at an angle of 30° with respect to the x-axis. - **Diagram Explanation:** - Before collision: - Two objects labeled as 1 and 2 are moving toward each other. Both are shown with velocity \( v \). - After collision: - The combined masses (1 and 2) move together in a single direction at an angle \( \theta = 30^\circ \) relative to the x-axis. **Question:** 2. The kinetic energy after the collision is - ⭕ Equal to the kinetic energy before the collision. - ○ Smaller than the kinetic energy before the collision. - ○ Larger than the kinetic energy before the collision. **Explanation:** The question asks about the kinetic energy comparison before and after the collision event. The possible options provided are to evaluate whether the kinetic energy remains equal, becomes smaller, or becomes larger after the collision.
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