Question

identify the true statements. choose all answers that apply: a if an object is accelerating, it must be experiencing a nonzero σf⃗. b if an object is remaining at rest, it must be experiencing zero σf⃗. c if an object is moving, it must be experiencing a nonzero σf⃗. related content newtons first law newtons second law

Explanation:

Step1: Recall Newton's second - law

Newton's second law is $\Sigma\vec{F}=m\vec{a}$, where $\Sigma\vec{F}$ is the net force, $m$ is mass and $\vec{a}$ is acceleration.

Step2: Analyze statement A

If an object is accelerating ($\vec{a}
eq0$), and since $m > 0$, from $\Sigma\vec{F}=m\vec{a}$, then $\Sigma\vec{F}
eq0$. So statement A is true.

Step3: Analyze statement B

If an object is remaining at rest, its acceleration $\vec{a} = 0$. From $\Sigma\vec{F}=m\vec{a}$, with $m>0$ and $\vec{a} = 0$, we get $\Sigma\vec{F}=0$. So statement B is true.

Step4: Analyze statement C

An object can be moving with a constant velocity, in which case $\vec{a}=0$. From $\Sigma\vec{F}=m\vec{a}$, $\Sigma\vec{F}=0$. So just because an object is moving does not mean it has a non - zero net force. Statement C is false.

Answer:

A. If an object is accelerating, it must be experiencing a nonzero $\Sigma\vec{F}$.
B. If an object is remaining at rest, it must be experiencing zero $\Sigma\vec{F}$.