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 given by $F = ma$, where $F$ is the net force, $m$ is the mass, and $a$ is the acceleration. We can express it as $a=\frac{F}{m}$.

Step2: Analyze the effect of changing mass and force on acceleration

Case 1: When mass is constant. If we double the net force $F$, from $a=\frac{F}{m}$, the new acceleration $a_{new}=\frac{2F}{m}=2a_{old}$, so the acceleration doubles.
Case 2: When force is constant. If we double the mass $m$, from $a = \frac{F}{m}$, the new acceleration $a_{new}=\frac{F}{2m}=\frac{1}{2}a_{old}$, so the acceleration is halved.

Answer:

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