Question

newtons second law of motion states that the acceleration of an object is dependent on the objects mass and the amount of force applied to the object. the table shows data from an investigation of newtons second law. which statement describes the pattern established in the data included in the chart? a doubling of the net force increases acceleration 4 times when the objects mass is constant. a doubling of the net force decreases acceleration 2 times when the objects mass is constant. a doubling of the mass decreases the acceleration of the object by half when the net force is constant. a doubling of the mass increases the acceleration of the object 2 times when the net force is constant. clear my selection

Explanation:

Step1: Recall Newton's second - law formula

Newton's second law is $F = ma$, where $F$ is net force, $m$ is mass and $a$ is acceleration. So, $a=\frac{F}{m}$.

Step2: Analyze the cases when mass is constant

When the mass $m$ is constant, if we consider two cases with forces $F_1$ and $F_2$ and corresponding accelerations $a_1$ and $a_2$. From $a=\frac{F}{m}$, we have $\frac{a_2}{a_1}=\frac{F_2}{F_1}$. When the net - force is doubled (from $F_1$ to $F_2 = 2F_1$) and $m$ is constant, $a_2 = 2a_1$.

Step3: Analyze the cases when force is constant

When the force $F$ is constant, if we consider two cases with masses $m_1$ and $m_2$ and corresponding accelerations $a_1$ and $a_2$. From $a=\frac{F}{m}$, we have $\frac{a_2}{a_1}=\frac{m_1}{m_2}$. When the mass is doubled (from $m_1$ to $m_2 = 2m_1$) and $F$ is constant, $a_2=\frac{1}{2}a_1$.

Answer:

A doubling of the net force increases acceleration 2 times when the object's mass is constant.