A 2,200$2,200$ kilogram Metcedes Benz traveling east at 35$35$ meters per second collodes head on with a 2,400$2,400$ kilogram Ford Explorer traveling west at 33.5$33\mathrm{.}5$ meters per second.

a)$)$ What is the magnitude of the total momentum of the two car system before the collision?

b)$)$ If the cars collide inelastically ($($the two masses stick together)$)$ what will be the magnitude and direction of their mutual velocity?

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