Let's go through the questions one by one.
Question 1: The blue billiard ball is moving at 3 m/s, and the green billiard ball is moving at -2 m/s. The negative sign indicates that the green ball is moving in the opposite direction to the blue ball.
- Answer: In opposite directions, towards each other.
Question 2: To calculate the momentum of each ball:
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Momentum of the blue ball: \( p_{blue} = m \cdot v = 0.15 , \text{kg} \cdot 3 , \text{m/s} = 0.45 , \text{kg.m/s} \)
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Momentum of the green ball: \( p_{green} = m \cdot v = 0.15 , \text{kg} \cdot (-2) , \text{m/s} = -0.3 , \text{kg.m/s} \)
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Answer: 0.45 kg.m/s ; -0.3 kg.m/s
Question 3: After the collision, if the blue ball stays in place, its momentum is 0 kg·m/s because it is not moving.
- Answer: 0 kg.m/s
Question 4: Since the blue ball remains stationary after collision, and there is conservation of momentum, we need to determine the motion of the green ball. The total momentum before the collision is the sum of their momenta:
- Total momentum before = \( 0.45 , \text{kg.m/s} + (-0.3 , \text{kg.m/s}) = 0.15 , \text{kg.m/s} \) Since the blue ball is now stationary and momentum must be conserved, the green ball must have a momentum of +0.15 kg·m/s.
However, based on the options available, an error may exist in the options because: After the collision, if the blue ball is at rest and the green ball continues to move, it cannot simply reverse direction while still causing the total momentum to preserve.
Given that the direction is not mentioned in the problem, if we erroneously consider it moving forward, we would look for the closest option based on conservation:
- Assuming it maintains positive momentum in the same direction, we would go with:
- Answer: 1.0 kg.m/s in the same direction from its original travel direction.
Given the inconsistencies, please verify the context carefully.