Problem $19.$

Two blocks slide toward each other on a frictionless surface. Block $1$ moves to the right with a velocity of $\backslash (4$ a $\backslash ),$ and block $2$ moves to the left with a velocity of $\backslash ($ a $\backslash ),$ where $\backslash ($ a $\backslash )$ is a parameter. After the blocks collide, if block $1$ travels to the right with a velocity of $\backslash ($ a $\backslash ),$ and block $2$ travels to the right with a velocity of $\backslash (5$ a $\backslash ),$ what is the ratio of the mass of block $1$ to the mass of block $\backslash (2\backslash$left$($m$\_\{1\}/$ m$\_\{2\}\backslash$right$)\backslash )?$

Group of answer choices

$0\mathrm{.}25$

$0\mathrm{.}5$

$1$

$2$

$3$

$4$

$6$

None of the other answers