Problem $4$

Two objects, m$1$ and m$2,$ collide. The initial momentum of the of the first and second objects are:

P$1$o $=(6,10,-5)$ and p$20=(-3,-13,2)$

The momentum of the first and second objects after the collision are: p$1$f $=(1,-9,4)$ and

p$2$f$=(2,$py$,$Pz$).$

$1)$ Determine pz and Py$.$

$2)$ Determine the final kinetic energy of particle $2$ if m$2=10$ kg

$3)$ Determine the final velocity vector of particle $2.$