Question

momentum ($\vec{p}$) is defined mathematically as:
$\vec{p}=m\vec{v}$
complete the statements.

• momentum and mass are related. the larger a moving objects mass is, the the objects momentum is (for the same $\vec{v}$).
• momentum and velocity are related. the larger an objects velocity is, the the objects momentum is (for the same $m$).

Explanation:

Step1: Analyze the relationship between momentum and mass

Given $\vec{p}=m\vec{v}$, when $\vec{v}$ is constant. If $m$ increases, $\vec{p}$ increases. So momentum and mass are directly related. The larger a moving object's mass is, the larger the object's momentum is (for the same $\vec{v}$).

Step2: Analyze the relationship between momentum and velocity

Given $\vec{p}=m\vec{v}$, when $m$ is constant. If $\vec{v}$ increases, $\vec{p}$ increases. So momentum and velocity are directly related. The larger an object's velocity is, the larger the object's momentum is (for the same $m$).

Answer:

Momentum and mass are directly related. The larger a moving object's mass is, the larger the object's momentum is (for the same $\vec{v}$). Momentum and velocity are directly related. The larger an object's velocity is, the larger the object's momentum is (for the same $m$).