A $4\mathrm{.}6-kg$ object has an initial velocity of $19\mathrm{.}6\frac{m}{s}$ in the positive $x-$direction. An $8\mathrm{.}5-kg$ object, moving in the opposite direction, has a velocity of $4\mathrm{.}0\frac{m}{s}.$ The two collide completely inelastically.

a$)$ The initial kinetic energy of the $4\mathrm{.}6-kg$ object is about:

b$)$ The initial kinetic energy of the $8\mathrm{.}5-kg$ object is about:

c$)$ The total initial kinetic energy of the system is about:

d$)$ The initial net momentum of the system is about:

e$)$ The final common velocity of the two objects is about

f$)$ After the collision, the objects move in the original direction of the mass.

g$)$ The final total kinetic energy of the system is about:

h$)$ The percentage of the kinetic energy lost in the collision is about: