Question

newtons second law can be written in different forms. one form is shown below.

$$ \\frac{\\sum \\vec{f}}{m}=\\vec{a} $$

this equation can be rearranged to a different form which includes momentum $(\vec{p})$.
drag and match each equation to the step that produces it.

step	resulting form of newtons second law
substitute using $\vec{a}=\frac{\delta \vec{v}}{\delta t}$	$$\sum \vec{f}=m \vec{a}$$
move the scalar $m$ inside $\delta \vec{v}$	$$\sum \vec{f}=\frac{\delta m \vec{v}}{\delta t}$$
substitute using $\vec{p}=m \vec{v}$	$$\sum \vec{f}=\frac{\delta \vec{p}}{\delta t}$$

if an object experiences a nonzero net force, what can we conclude about its momentum?
choose 1 answer:

a the objects momentum will change.
b the objects momentum will not change.
c we dont have enough information to conclude anything about the objects momentum.

Explanation:

Step1: Analyze the formula $\sum\vec{F}=\frac{\Delta\vec{p}}{\Delta t}$

From Newton's second law in the form $\sum\vec{F}=\frac{\Delta\vec{p}}{\Delta t}$, if $\sum\vec{F}
eq0$, then $\Delta\vec{p}
eq0$.

Step2: Interpret the meaning of $\Delta\vec{p}$

The symbol $\Delta\vec{p}$ represents the change in momentum. If $\Delta\vec{p}
eq0$, it means the momentum of the object changes.

Answer:

A. The object’s momentum will change.