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 8 kg-m/s northeast 8 kg-m/s northeast 16 kg-m/s southwest

3 answers

To solve this problem, we need to add the momentum vectors of the two objects before collision to find the combined momentum after the collision.

The first object has a momentum of 12 kg-m/s, moving northeast. We can represent this momentum as a vector with magnitude 12, pointing in the northeast direction.

The second object has a momentum of 4 kg-m/s, moving southwest. We can represent this momentum as a vector with magnitude 4, pointing in the southwest direction.

To find the combined momentum after the collision, we add these two momentum vectors together. Since they are on the same path, we can simply add their magnitudes and choose the direction based on the larger momentum.

12 kg-m/s + 4 kg-m/s = 16 kg-m/s

The momentum after the collision is 16 kg-m/s. Since the larger momentum is from the northeast direction, the answer is 16 kg-m/s northeast. Therefore, the correct response is:

16 kg-m/s northeast
is this right
Yes, that is correct. The combined momentum after the collision is 16 kg-m/s, and it is in the northeast direction.