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## 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?

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?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?