EXAMPLE $1$: Two air carts have total masses m$1=320$ grams and m$2=195$ grams.

Assume that there are absolutely$,$ positively, undoubtedly, unequivocally no frictional or other external, horizontally directed forces acting on the system of the two air carts.

Initially, cart #$1$ is moving to the right and cart #$2$ is moving to the left. Cart #$1$ has a speed of $0\mathrm{.}324$ m$/$s$,$ and Cart