In a collision where two objects stick together, the principle of conservation of momentum states that the total momentum of the system before the collision must equal the total momentum of the system after the collision.
Before the collision:
- Ball 1 has a momentum of 10 kg m/s (to the right).
- Ball 2 is at rest, so its momentum is 0 kg m/s.
The total initial momentum of the system is:
\[ \text{Total initial momentum} = \text{Momentum of Ball 1} + \text{Momentum of Ball 2} = 10 , \text{kg m/s} + 0 , \text{kg m/s} = 10 , \text{kg m/s} \]
After the collision, since the balls stick together and move to the right, the final momentum of the system will also be 10 kg m/s, as momentum is conserved.
Thus, the final momentum of the system is:
\[ \text{Final momentum} = 10 , \text{kg m/s} \]
The correct answer is 10 kg m/s.