Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9 cer claim/evidence/reasoning: based on the data you collected and ana…

Question

9 cer claim/evidence/reasoning: based on the data you collected and analyzed, make a claim that answers the following question and then provide evidence and reasoning to support your claim. question: how do net force and mass affect the acceleration of an object? claim: write a statement that answers the question.

Explanation:

Step1: Recall Newton's second - law

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

Step2: Analyze the relationship

From $F = ma$, we can express $a=\frac{F}{m}$. This shows that the acceleration of an object is directly proportional to the net force acting on it when the mass is constant. That is, if the mass remains the same, an increase in the net force will lead to an increase in acceleration, and a decrease in the net force will lead to a decrease in acceleration. Also, the acceleration is inversely proportional to the mass when the net force is constant. So, an increase in mass will result in a decrease in acceleration, and a decrease in mass will result in an increase in acceleration.

Answer:

The acceleration of an object is directly proportional to the net force acting on it when the mass is constant and inversely proportional to the mass when the net force is constant.