Answer:
[tex]0.70\; {\rm kg}[/tex].
Explanation:
If an object of mass [tex]m[/tex] is travelling at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].
In this question, both momentum [tex]p[/tex] and velocity [tex]v[/tex] are given, and mass [tex]m[/tex] needs to be found. Hence, rearrange the equation [tex]p = m\, v[/tex] and solve for [tex]m\![/tex]:
[tex]\begin{aligned} m &= \frac{p}{v} \\ &= \frac{3.22\; {\rm kg \cdot m \cdot s^{-1}}}{4.6\; {\rm m\cdot s^{-1}}} \\ &= 0.70\; {\rm kg}\end{aligned}[/tex].
Therefore, the mass of this ball would be [tex]0.70\; {\rm kg}[/tex].
