Question

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 net force (n) 16 16 8 8 mass (kg) 4 2 4 2 acceleration (m/s²) 4 8 2 4

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. So, $a=\frac{F}{m}$.

Step2: Analyze the effect of changing mass with constant force

When the net force $F$ is constant, if the mass $m$ is doubled, from $a=\frac{F}{m}$, the new acceleration $a_{new}=\frac{F}{2m}=\frac{1}{2}a_{old}$. That is, the acceleration is decreased by half.

Step3: Analyze the effect of changing force with constant mass

When the mass $m$ is constant, if the net force $F$ is doubled, from $a = \frac{F}{m}$, the new acceleration $a_{new}=\frac{2F}{m}=2a_{old}$. That is, the acceleration is increased by 2 times.

Answer:

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