Given data:
Mass of football player,
[tex]M=110\text{ kg}[/tex]Velocity of football player,
[tex]V=8\text{ m/s}[/tex]Mass of the football,
[tex]m=0.410\text{ kg}[/tex]Velocity of football,
[tex]v=25\text{ m/s}[/tex]The momentum of a moving object is given as the product of its mass and velocity. Therefore, the momentum of the football player is given as,
[tex]\begin{gathered} P=MV \\ =(110\text{ kg})\times(8\text{ m/s}) \\ =880\text{ kg}\cdot\text{ m/s} \end{gathered}[/tex]Therefore, the momentum of the football 880 kg.m/s.
The momentum of the football is given as,
[tex]\begin{gathered} p=mv \\ =(0.410\text{ kg})\times(25.0\text{ m/s}) \\ =10.25\text{ kg}\cdot\text{m/s} \end{gathered}[/tex]Therefore, the momentum of the football is 10.25 kg.m/s.
On comparing, the momentum of football player is very large to that of the momentum of the football.