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To solve this problem, we need to calculate the total momentum of the system of two hockey players just before they collide. We can use the principle of conservation of momentum, which states that the total momentum of a closed system remains constant if there is no external force acting on it. 

Let's break down the problem:

1. **Momentum of the first player** (66 kg moving north at 1.5 m/s):
   \[
   p_1 = m_1 \times v_1 = 66 \, \text{kg} \times 1.5 \, \text{m/s} = 99 \, \text{kg} \cdot \text{m/s (north)}
   \]

2. **Momentum of the second player** (75 kg moving south at 1.2 m/s):
   \[
   p_2 = m_2 \times v_2 = 75 \, \text{kg} \times 1.2 \, \text{m/s} = 90 \, \text{kg} \cdot \text{m/s (south)}
   \]

Since the two players are moving in opposite directions, we need to assign opposite signs to their momenta. Let's assume north is positive and south is negative.

Thus:
\[
\text{Total momentum} = p_1 - p_2 = 99 \, \text{kg} \cdot \text{m/s} - 90 \, \text{kg} \cdot \text{m/s} = 9 \, \text{kg} \cdot \text{m/s (north)}
\]

### Answer:
The correct answer is:
**D. 9 kg·m/s north**

Would you like further details, or do you have any questions?

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Here are some related questions for further exploration:
1. What would happen to the momentum if one player stopped moving after the collision?
2. How would the outcome differ if the masses of the players were reversed?
3. What if both players were moving in the same direction before the collision?
4. How does an elastic collision differ from an inelastic collision in terms of momentum?
5. How would the momentum change if there was an external force acting on the system?

**Tip:** Remember, in problems involving opposite directions, assign a positive or negative sign based on a chosen reference direction to keep track of vector quantities accurately.

Two hockey players are about to collide on the ice. One player has a mass of 66 kg and is traveling at 1.5 m/s north. The other has a mass of 75 kg and is traveling at 1.2 m/s south. The system consists of the two hockey players.

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

Learn how to calculate the total momentum in an elastic collision between two hockey players. This physics problem applies the law of conservation of momentum and involves vector calculations. Suitable for high school physics students.

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