The momentum of the coupled cars is 0.16 kg m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two cars must be conserved before and after they couple together.
Mathematically, this can be written as
where:
is the mass of the two cars
is the initial velocity of the first car
is the initial velocity of the second car, which is at rest
ithe momentum of the coupled cars, after the collision
By re-arranging the equation and substituting the values that we have, we find the final momentum:

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