The total momentum of a closed system before a collision is equal to the total momentum of the system after the collision, according to the law of conservation of momentum.
In this case, before the collision, the system has a momentum of 3 kg⋅m/s from the moving billiard ball. The other billiard balls are initially at rest, so their momentum is 0.
After the collision, the total momentum of all the balls combined will still equal the initial momentum:
- Total momentum after the collision = momentum before the collision = 3 kg⋅m/s.
Therefore, the correct response is:
3 kg⋅m/s.