Final answer:
The x-component of the total momentum of the system before the collision is 10.62 kg*m/s, and the y-component is 15.30 kg*m/s. The x and y-components of the total momentum of the system after the collision cannot be determined without additional information.
Step-by-step explanation:
When dealing with collisions in 2-dimensions, the x-component of the total momentum of the system before the collision is calculated by multiplying the mass of Block A by its velocity in the x-direction: 3.54 kg * 3.00 m/s = 10.62 kg*m/s.
The y-component of the total momentum of the system before the collision is calculated by multiplying the mass of Block B by its velocity in the y-direction: 4.25 kg * 3.60 m/s = 15.30 kg*m/s.
After the collision, momentum is still conserved in each dimension. The x-component of the total momentum of the system after the collision depends on the final velocities of Block A and Block B, which are not given in the question. Therefore, it is not possible to determine the x-component of the momentum after the collision without additional information.
Similarly, the y-component of the total momentum of the system after the collision also depends on the final velocities of Block A and Block B, which are not provided. So, it is not possible to determine the y-component of the momentum after the collision without additional information.