To determine the correct value for [tex]\( X \)[/tex] in the closed system, we need to understand that in a closed system, the law of conservation of momentum states that the initial momentum must be equal to the final momentum.
Given the data:
- In trial 1, the initial momentum is 3.5 kg·m/s, and the final momentum is 3.5 kg·m/s.
- In trial 2, the initial momentum is 3.7 kg·m/s, and the final momentum is 3.7 kg·m/s.
- In trial 3, the initial momentum is 3.4 kg·m/s, and the final momentum is 3.4 kg·m/s.
- In trial 4, the final momentum is given as 3.6 kg·m/s.
According to the conservation of momentum, the initial momentum for trial 4 must be equal to the final momentum for trial 4.
Therefore, the value for [tex]\( X \)[/tex] should be 3.6 kg·m/s since the initial momentum must equal the final momentum in a closed system.
So, the correct value in place of [tex]\( X \)[/tex] is:
3.6
