Question

newtons second law is represented mathematically as: $vec{a}=\frac{sigmavec{f}}{m}$. complete the statements. acceleration is related to net force. the larger the net force acting on an object, the the objects acceleration will be (for the same $m$). acceleration is related to mass. the larger an objects mass, the the objects acceleration will be (for the same $sigmavec{f}$). show calculator

Explanation:

Step1: Analyze force - acceleration relationship

From $\vec{a}=\frac{\sum\vec{F}}{m}$, when $m$ is constant, $\vec{a}$ and $\sum\vec{F}$ are directly proportional.

Step2: Analyze mass - acceleration relationship

From $\vec{a}=\frac{\sum\vec{F}}{m}$, when $\sum\vec{F}$ is constant, $\vec{a}$ and $m$ are inversely proportional.

Answer:

Acceleration is directly related to net force. The larger the net force acting on an object, the larger the object's acceleration will be (for the same $m$).
Acceleration is inversely related to mass. The larger an object's mass, the smaller the object's acceleration will be (for the same $\sum\vec{F}$).