2D inelastic collision and K of CM

[sci-doo]

Homework Statement

Car 1 (1500kg) is heading north 80km/h, Car 2 (3500kg) is heading east 50km/h. They collide inelastically.
a.) Speed and direction of the wreck (car 1 + car 2)?
b.) The kinetic energy lost?
HERE I HAVE A PROBLEM:
c.) What is the kinetic energy of the two-particle systems center of mass before and after the collision?
d.) Where was the lost kinetic energy hidden before the collision?

2. The attempt at a solution
a. is just vector sum p1+p2 where I can get the velocity by dividing it with the masses (about 12m/s), I can get the angle too (34,438... deg)
b. wrecks K minus K of car 1 and car 2 = - 360532,40... J so about 360 kJ lost
c. But this one I don't understand. I'd say it stays the same, because... well, that's what I calculated (CM from the v-vectors = v of CM), yet I don't really believe it...
d. ... after all shouldn't the K be lost to deformation of bodies (+heat etc.)? Does the K of CM stay the same anyways?

 

[sci-doo]

Ok, I found something useful on the net:
http://courses.washington.edu/ph122mo/A08/MT3info.html"
# Inelastic collisions

* momentum is still conserved
* kinetic energy of center of mass motion cannot be lost
* maximum energy loss for items sticking together after collision


And that is really all I needed to know.