A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s, as shown in Figure 3. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. Fragment 2 moves with a speed ?ଶ  at an angle ? relative to the positive x-axis, as shown in the figure. Find ?ଶ  and ?. Assume that any external forces are small enough to be ignored.

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A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s, as shown in Figure 3. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. Fragment 2 moves with a speed ?ଶ
 at an angle ? relative to the positive x-axis, as shown in the figure. Find ?ଶ  and ?. Assume that any external forces are small enough to be ignored.

**Figure 3 Explanation**

The diagram consists of two segments labeled "Before" and "After," each including x and y axes. It represents a collision scenario in physics with given masses and velocities.

**Before Collision:**

- A single object with a mass of 1.2 kg is shown moving horizontally along the positive x-axis with a velocity of 0.50 m/s.

**After Collision:**

- The original object has split into two separate objects post-collision.
- **Object 1**: This object has a mass of 0.40 kg and is moving downward along the negative y-axis with a velocity of 0.90 m/s.
- **Object 2**: This object has a mass of 0.80 kg and moves in a direction forming an angle θ with the positive x-axis. Its velocity is denoted as v₂, but the exact value is not provided.

Arrows indicate the direction of movement for each object, and lines are used to represent velocity vectors, which include both magnitude and direction. The angle θ represents the direction of Object 2's movement relative to the x-axis.
Transcribed Image Text:**Figure 3 Explanation** The diagram consists of two segments labeled "Before" and "After," each including x and y axes. It represents a collision scenario in physics with given masses and velocities. **Before Collision:** - A single object with a mass of 1.2 kg is shown moving horizontally along the positive x-axis with a velocity of 0.50 m/s. **After Collision:** - The original object has split into two separate objects post-collision. - **Object 1**: This object has a mass of 0.40 kg and is moving downward along the negative y-axis with a velocity of 0.90 m/s. - **Object 2**: This object has a mass of 0.80 kg and moves in a direction forming an angle θ with the positive x-axis. Its velocity is denoted as v₂, but the exact value is not provided. Arrows indicate the direction of movement for each object, and lines are used to represent velocity vectors, which include both magnitude and direction. The angle θ represents the direction of Object 2's movement relative to the x-axis.
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