QuestionJune 11, 2025

The model being tested is Newton's Second Law F_(net)=ma After graphing the variables according to the "rule of thumb: for independent and dependent variables, what kind of relationship would we expect between mass and acceleration? Hint: As mass increases what should happen to the acceleration if the force is constant? Quadratic: y=ax^2+bx+c Linear: y=mx+b Inverse: y=(a)/(x) Proportional: y=mx

The model being tested is Newton's Second Law F_(net)=ma After graphing the variables according to the "rule of thumb: for independent and dependent variables, what kind of relationship would we expect between mass and acceleration? Hint: As mass increases what should happen to the acceleration if the force is constant? Quadratic: y=ax^2+bx+c Linear: y=mx+b Inverse: y=(a)/(x) Proportional: y=mx
The model being tested is Newton's Second Law F_(net)=ma After graphing the variables
according to the "rule of thumb: for independent and dependent variables, what kind of
relationship would we expect between mass and acceleration?
Hint: As mass increases what should happen to the acceleration if the force is constant?
Quadratic: y=ax^2+bx+c
Linear: y=mx+b
Inverse: y=(a)/(x)
Proportional: y=mx

Solution
4.5(146 votes)

Answer

Inverse: y=\frac {a}{x} Explanation 1. Identify the relationship According to Newton's Second Law F_{net} = ma, if force F is constant, then acceleration a is inversely proportional to mass m. This implies a = \frac{F}{m}. 2. Determine the type of relationship The equation a = \frac{F}{m} matches the form y = \frac{a}{x}, indicating an inverse relationship between mass and acceleration when force is constant.

Explanation

1. Identify the relationship<br /> According to Newton's Second Law $F_{net} = ma$, if force $F$ is constant, then acceleration $a$ is inversely proportional to mass $m$. This implies $a = \frac{F}{m}$.<br /><br />2. Determine the type of relationship<br /> The equation $a = \frac{F}{m}$ matches the form $y = \frac{a}{x}$, indicating an inverse relationship between mass and acceleration when force is constant.
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