Final answer:
The question involves a physics problem related to a traffic collision where two trucks collide, and the conservation of momentum is used to determine the combined wreckage's resultant velocity post-collision.
Step-by-step explanation:
The question involves a traffic collision where two trucks with known forces (mass times acceleration due to gravity) and velocities in different directions collide. To solve this, the principles of conservation of momentum and vector addition are utilized. Momentum is a vector quantity, which means it has both magnitude and direction and is conserved in collisions. Here, we're looking for the resultant velocity of the system after the collision, which can be found by vectorially adding the individual momenta of the two trucks before the collision to get the total momentum. This total momentum will equal the momentum after the collision since momentum is conserved. The velocity of the combined mass after the collision is then obtained by dividing the total momentum vector by the total mass of the system.
The approach is similar to the problem of a car and a truck colliding at an intersection mentioned in the reference, where after the collision, the momentum vectors are added to find the final velocity vector of the combined wreckage. These types of problems are fundamental in the study of mechanics within physics courses. When solving, units must be consistent, and directions should be treated with appropriate positive or negative signs to reflect their vector nature.