Problem $1\mathrm{.}15$: A beryllium atom $)=(8\mathrm{.}00u$ traveling initially with $40\mathrm{.}0$keV fissures into two atoms of helium $)=(4\mathrm{.}00u$ with the release of $92\mathrm{.}0$keV and one of the two helium atoms is found to be traveling in the same direction as the initial beryllium atom while the other is oppositely directed. Determine the velocity of the products: $($a$)$ in the laboratory frame and $($b$)$ in the center$-$of$-$momentum frame. $($c$)$ Show that your answers for parts $($a$)$ and $($b$)$ agree with Galilean transformations.