Final answer:
The total momentum of the system of two cars, each with a mass of 1300 kg and approaching each other at 19 m/s, is 0 kg·m/s because the momenta cancel each other out.
Step-by-step explanation:
The magnitude of the total momentum of a system comprising two cars each with mass 1300 kg approaching each other at speeds of 19 m/s is calculated using the formula for momentum, p = mv, where m is mass and v is velocity. Since momentum is a vector quantity and the cars are moving towards each other, their momenta will cancel each other out. One car's momentum is 1300 kg × 19 m/s = 24700 kg·m/s and the other car has equal magnitude but opposite direction. The total system momentum is 0 kg·m/s because the momenta add up to zero due to being in opposite directions.