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To determine in which trial Object B will travel the fastest, we can analyze the data provided in the table. Specifically, we need to focus on Newton's second law of motion:

\[
F = m \cdot a
\]

In this case, Object A collides with Object B. The speed of Object B after the collision will generally depend on the impulse transferred from Object A to Object B, which depends on the force applied during the collision and the mass of Object B. Since the acceleration of Object A is provided, and force is related to acceleration and mass, we can deduce that the trial with the greatest force exerted on Object B will likely result in Object B moving the fastest.

1. Calculate the force \( F = m \cdot a \) for each trial using the mass and acceleration of Object A.
2. The highest force applied to Object A would likely transfer the most energy to Object B, causing it to reach the highest speed.

Let's go through each trial to calculate the force:

### Calculations for Each Trial

1. **Trial 1**:
   \[
   F = 0.1 \, \text{kg} \times 4.0 \, \text{m/s}^2 = 0.4 \, \text{N}
   \]
2. **Trial 2**:
   \[
   F = 0.2 \, \text{kg} \times 2.2 \, \text{m/s}^2 = 0.44 \, \text{N}
   \]
3. **Trial 3**:
   \[
   F = 0.3 \, \text{kg} \times 2.4 \, \text{m/s}^2 = 0.72 \, \text{N}
   \]
4. **Trial 4**:
   \[
   F = 0.4 \, \text{kg} \times 1.9 \, \text{m/s}^2 = 0.76 \, \text{N}
   \]
5. **Trial 5**:
   \[
   F = 0.5 \, \text{kg} \times 1.2 \, \text{m/s}^2 = 0.6 \, \text{N}
   \]

### Analysis

The highest force is in **Trial 4 (0.76 N)**. Thus, we can infer that **Object B will likely travel the fastest in Trial 4** due to the greatest force applied during this collision.

Would you like further explanation or additional questions? Here are some related questions to deepen understanding:

1. How does changing the mass of Object A affect the force exerted on Object B?
2. Why does Trial 4 have the highest force despite a lower acceleration?
3. How would the final speed of Object B change if its mass were reduced?
4. Can we directly calculate the speed of Object B from this information?
5. What role does momentum play in determining the speed of Object B after the collision?

**Tip:** Remember, force and acceleration are directly proportional; however, the mass involved also influences the resulting force significantly.

In which trial will Object B travel the fastest based on the table provided?

Analyze the provided data to determine in which trial Object B will travel the fastest during a collision with Object A. This physics problem uses Newton's second law of motion to calculate force and understand its impact on acceleration. Suitable for high school students learning about force, mass, and acceleration.

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