Problem $4$

Two objects, $m_1$ and $m_2,$ collide. The initial momentum of the of the first and second objects are:

vec$(p{)}_{10}=(6,10,-5)$ and vec$(p{)}_{20}=(-3,-13,2)$

The momentum of the first and second objects after the collision are: vec$(p{)}_{1f}=(1,-9,4)$ and vec$(p{)}_{2f}=(2,p_y,p_z).$

Determine $p_z$ and $p_y.$

Determine the final kinetic energy of particle $2$ if $m_2=10kg$

Determine the final velocity vector of particle $2.$