4. Qualitatively, what was the effect on your object's or system's acceleration as the net force acting increased? Support your answer with data $$ \qquad $$ $$ \qquad $$ $$ \qquad $$

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UpStudy AI · Accepted Answer

To analyze the effect of increasing net force on an object's or system's acceleration, we can refer to Newton's second law of motion, which states:

$$
F = m \cdot a
$$

where:
- $$ F $$ is the net force acting on the object,
- $$ m $$ is the mass of the object,
- $$ a $$ is the acceleration of the object.

From this equation, we can derive that:

$$
a = \frac{F}{m}
$$

This means that acceleration ($$ a $$) is directly proportional to the net force ($$ F $$) acting on the object, provided that the mass ($$ m $$) remains constant.

### Qualitative Analysis

1. **Increasing Net Force**: As the net force acting on the object increases, the acceleration of the object also increases. This is because a larger force results in a greater change in velocity over time.

2. **Constant Mass**: If the mass of the object does not change, the relationship between force and acceleration remains linear. For example, if the net force doubles, the acceleration will also double.

### Supporting Data

To support this qualitative analysis, we can consider hypothetical data:

- **Example Data**:
  - For a mass $$ m = 2 \, \text{kg} $$:
    - If $$ F = 2 \, \text{N} $$, then $$ a = \frac{2 \, \text{N}}{2 \, \text{kg}} = 1 \, \text{m/s}^2 $$
    - If $$ F = 4 \, \text{N} $$, then $$ a = \frac{4 \, \text{N}}{2 \, \text{kg}} = 2 \, \text{m/s}^2 $$
    - If $$ F = 6 \, \text{N} $$, then $$ a = \frac{6 \, \text{N}}{2 \, \text{kg}} = 3 \, \text{m/s}^2 $$

From this data, we can observe that as the net force increases from 2 N to 6 N, the acceleration increases from 1 m/s² to 3 m/s², demonstrating a direct relationship between force and acceleration.

### Conclusion

In conclusion, as the net force acting on an object increases, the acceleration of that object also increases, assuming the mass remains constant. This relationship is fundamental in understanding motion and is supported by both theoretical principles and empirical data.
As the net force increases, the object's acceleration also increases. This is because, according to Newton's second law ($$ F = m \cdot a $$), more force leads to more acceleration when the mass stays the same.

4. Qualitatively, what was the effect on your object's or system's acceleration as the net force acting increased? Support your answer with data \( \qquad \) \( \qquad \) \( \qquad \)

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