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) Responses 8 kg-m/s southwest 8 kg-m/s southwest 16 kg-m/s northeast 16 kg-m/s northeast 16 kg-m/s southwest 16 kg-m/s southwest 8 kg-m/s northeast 8 kg-m/s northeast
To determine the momentum after the collision, we need to calculate the total momentum of the two objects before the collision.
The first object has a momentum of 12 kg-m/s in the northeast direction, while the second object has a momentum of 4 kg-m/s in the southwest direction.
Since they are in opposite directions, we can subtract the momentum of the second object from the first object to get the total momentum before the collision:
12 kg-m/s - 4 kg-m/s = 8 kg-m/s northeast
Therefore, the total momentum before the collision is 8 kg-m/s northeast.
When the two objects collide and stick together, they combine their masses and momenta. Since they stick together, their final momentum will be the same as the total momentum before the collision, which is 8 kg-m/s northeast.
Therefore, the momentum after their collision is 8 kg-m/s northeast.