One object is traveling northeast with a momentum of 12 kg-m/s, while a second object is traveling southwest on the same path as the first object with a momentum of 4 kg-m/s. When the two objects collide, they stick together. What is the momentum after their collision?(1 point)

Question

Responses

8 kg-m/s southwest
8 kg-m/s southwest

16 kg-m/s southwest
16 kg-m/s southwest

16 kg-m/s northeast
16 kg-m/s northeast

8 kg-m/s northeast

Answer 1

To find the momentum after the collision, we need to add the momenta of the two objects before the collision.

The first object has a momentum of 12 kg-m/s traveling northeast. Since momentum is a vector quantity, we can represent this momentum as (12 kg-m/s) northeast.

The second object has a momentum of 4 kg-m/s traveling southwest. Again, since momentum is a vector quantity, we can represent this momentum as (4 kg-m/s) southwest.

When the two objects collide and stick together, their momenta combine.

Adding the two momenta, (12 kg-m/s) northeast and (4 kg-m/s) southwest, we get (12 kg-m/s + 4 kg-m/s) = 16 kg-m/s northeast.

Therefore, the momentum after their collision is 16 kg-m/s northeast.