5. What is the relationship (inverse, proportional, equal, squared, et cetera) between your object system's acceleration and the net force acting on it? How do you know? $$ \qquad $$ $$ \qquad $$ $$ \qquad $$

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To determine the relationship between an object's acceleration and the net force acting on it, 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 analyze the relationship between acceleration and net force:

1. **Direct Proportionality**: The equation can be rearranged to express acceleration in terms of force:

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

This shows that acceleration $$ a $$ is directly proportional to the net force $$ F $$ when the mass $$ m $$ is constant. This means that if the net force increases, the acceleration increases proportionally, and vice versa.

2. **Constant Mass**: The relationship holds true as long as the mass of the object remains constant. If the mass changes, the relationship would need to be re-evaluated.

3. **Conclusion**: Therefore, the relationship between acceleration and net force is that they are directly proportional to each other when mass is constant. This conclusion is supported by experimental evidence and is a fundamental principle in classical mechanics.

In summary, the relationship between an object's acceleration and the net force acting on it is **directly proportional**.
Acceleration is directly proportional to the net force acting on an object when the mass remains constant.

5. What is the relationship (inverse, proportional, equal, squared, et cetera) between your object system's acceleration and the net force acting on it? How do you know? \( \qquad \) \( \qquad \) \( \qquad \)

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