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According to the law of conservation of momentum, what is the total momentum of the system after they collide? Assume the collision is elastic.

A. 173 kg·m/s south
B. 173 kg·m/s north
C. 23 kg·m/s north
D. 23 kg·m/s south

Answer :

To solve this problem, we'll apply the law of conservation of momentum, which states that in the absence of external forces, the total momentum of a system remains constant before and after a collision.

Since the problem mentions that the collision is elastic, and no external forces are influencing the system, it follows that:

1. Total Initial Momentum = Total Final Momentum

Let's consider the information given:

- The initial momentum of the system is given as 173 kg-m/s north.

Since momentum is conserved in an elastic collision, the total momentum of the system after the collision must remain the same as it was initially. Therefore:

- The total momentum of the system after they collide is also 173 kg-m/s north.

Hence, the correct answer is:

B. 173 kg-m/s north

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