Final answer:
The total momentum of a system before and after a collision is conserved. In this case, the total momentum of the system after the collision can be found by adding the individual momenta of the two objects. The total momentum of the system after the collision is 50 kg m/s.
Step-by-step explanation:
The total momentum of a system before and after a collision is conserved. In this case, the total momentum of the system after the collision can be found by adding the individual momenta of the two objects.
The momentum of the first object, with mass 5 kg and initial velocity 10 m/s, is given by momentum = mass x velocity = 5 kg x 10 m/s = 50 kg m/s.
The second object is at rest, so its momentum is 0 kg m/s.
Therefore, the total momentum of the system after the collision is 50 kg m/s + 0 kg m/s = 50 kg m/s.