Question

10/09 exit ticket: data analysis question: describe the relationship between force, mass, and acceleration based on your lab data. instructions: use your data table and graph from todays lab to explain what happens to acceleration when for what you actually observed during the investigation. sentence starters: - \as the force increased, the acceleration...\ - \when the mass increased, the acceleration...\ - \this shows that the relationship between force, mass, and acceleration is...\

Explanation:

Step1: Recall Newton's second - law

According to Newton's second - law, the formula is $F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration.

Step2: Analyze force - acceleration relationship

From $F = ma$, when mass $m$ is constant, $a=\frac{F}{m}$. So, as the force $F$ increased, the acceleration $a$ increased proportionally.

Step3: Analyze mass - acceleration relationship

From $F = ma$, when force $F$ is constant, $a=\frac{F}{m}$. So, when the mass $m$ increased, the acceleration $a$ decreased.

Step4: Summarize the relationship

This shows that the relationship between force, mass, and acceleration is that force is directly proportional to acceleration when mass is constant, and acceleration is inversely proportional to mass when force is constant.

Answer:

As the force increased, the acceleration increased proportionally when mass was held constant. When the mass increased, the acceleration decreased when force was held constant. This shows that the relationship between force, mass, and acceleration is that force is directly proportional to acceleration when mass is constant and acceleration is inversely proportional to mass when force is constant.