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.

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 the derived form of Newton's second - law \(\sum\vec{F}=\frac{\Delta\vec{p}}{\Delta t}\), we can rewrite it as \(\Delta\vec{p}=\sum\vec{F}\Delta t\).

Step2: Consider the non - zero net force

If \(\sum\vec{F}
eq0\) and \(\Delta t> 0\) (time is passing, so \(\Delta t\) is a non - zero positive quantity), then \(\Delta\vec{p}=\sum\vec{F}\Delta t
eq0\).

Answer:

A. The object's momentum will change.