Answer:
The momentum of the two balls if they stick together after the collision is 0.6 kgm/s.
Step-by-step explanation:
Apply the principle of conservation of linear momentum, the total momentum before collision is equal to the total momentum after collision.
Given;
initial momentum of the cue ball = 0.5 kgm/s
initial momentum of the 8 ball = 0.1 kgm/s
![P_(before) = P_(after)\\\\0.5 \ kgm/s + 0.1 \ kgm/s = P_(after)\\\\P_(after) = 0.6 \ kgm/s](https://img.qammunity.org/2021/formulas/physics/high-school/xolcuhxz0xudzvs8pmmixjhpjle9kct3t3.png)
Therefore, the momentum of the two balls if they stick together after the collision is 0.6 kgm/s.