A $2\mathrm{.}04-kg$ particle has a velocity $(2\mathrm{.}10$hat$(i)-2\mathrm{.}91$hat$(j))\frac{m}{s},$ and a $2\mathrm{.}94-kg$ particle has a velocity $(1\mathrm{.}04$hat$(i)+5\mathrm{.}92$hat$(j))\frac{m}{s}.$

$($a$)$ Find the velocity of the center of mass.

$(hat(i)+,$hat$(j))\frac{m}{s}$

$($b$)$ Find the total momentum of the system.

hat$(i)+$

j$)kg*\frac{m}{s}$