Question
A blue and a green billiard ball, each have a mass of 0.15 kg. Before they collide, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. What direction are they traveling?
(1 point)
Responses
In opposite directions, away from each other.
In opposite directions, away from each other.
Not enough information is provided to determine the direction of travel.
Not enough information is provided to determine the direction of travel.
At a 90-degree angle to each other.
At a 90-degree angle to each other.
In opposite directions, towards each other.
In opposite directions, towards each other.
Question 2
What is the momentum of the blue and the green billiard balls respectively, before the collision, if each has a mass of 0.15 kg and the blue ball has a speed of 3 m/s and the green has a speed of -2 m/s?(1 point)
Responses
0.075 kg.m/s : 0.05 kg.m/s
0.075 kg.m/s : 0.05 kg.m/s
0.05 kg.m/s ; -0.075 kg.m/s
0.05 kg.m/s ; -0.075 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
Question 3
A blue and a green billiard ball, each with a mass of 0.15 kg, collide directly. Before the collision, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. After the collision, the blue ball stays in place. what is the total momentum of the blue ball after the collision?(1 point)
Responses
0.45 kg.m/s
0.45 kg.m/s
0 kg.m/s
0 kg.m/s
1.0 kg.m/s
1.0 kg.m/s
-1.0 kg.m/s
-1.0 kg.m/s
Question 4
A blue and a green billiard ball, each with a mass of 0.15 kg, collide directly. Before the collision, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. After the collision, the blue ball stays in place while the green ball continues in motion. What is the momentum and direction of the green ball?(1 point)
Responses
1.0 kg.m/s in the same direction from its original travel direction.
1.0 kg.m/s in the same direction from its original travel direction.
0 kg.m/s, sitting still.
0 kg.m/s, sitting still.
0.3 kg.m/s straight ahead
0.3 kg.m/s straight ahead
1.0 kg.m/s in the opposite direction from its original travel direction.
1.0 kg.m/s in the opposite direction from its original travel direction.
(1 point)
Responses
In opposite directions, away from each other.
In opposite directions, away from each other.
Not enough information is provided to determine the direction of travel.
Not enough information is provided to determine the direction of travel.
At a 90-degree angle to each other.
At a 90-degree angle to each other.
In opposite directions, towards each other.
In opposite directions, towards each other.
Question 2
What is the momentum of the blue and the green billiard balls respectively, before the collision, if each has a mass of 0.15 kg and the blue ball has a speed of 3 m/s and the green has a speed of -2 m/s?(1 point)
Responses
0.075 kg.m/s : 0.05 kg.m/s
0.075 kg.m/s : 0.05 kg.m/s
0.05 kg.m/s ; -0.075 kg.m/s
0.05 kg.m/s ; -0.075 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
Question 3
A blue and a green billiard ball, each with a mass of 0.15 kg, collide directly. Before the collision, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. After the collision, the blue ball stays in place. what is the total momentum of the blue ball after the collision?(1 point)
Responses
0.45 kg.m/s
0.45 kg.m/s
0 kg.m/s
0 kg.m/s
1.0 kg.m/s
1.0 kg.m/s
-1.0 kg.m/s
-1.0 kg.m/s
Question 4
A blue and a green billiard ball, each with a mass of 0.15 kg, collide directly. Before the collision, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. After the collision, the blue ball stays in place while the green ball continues in motion. What is the momentum and direction of the green ball?(1 point)
Responses
1.0 kg.m/s in the same direction from its original travel direction.
1.0 kg.m/s in the same direction from its original travel direction.
0 kg.m/s, sitting still.
0 kg.m/s, sitting still.
0.3 kg.m/s straight ahead
0.3 kg.m/s straight ahead
1.0 kg.m/s in the opposite direction from its original travel direction.
1.0 kg.m/s in the opposite direction from its original travel direction.
Answers
GPT-4o mini
Let's address each question one at a time.
### Question 1
**What direction are they traveling?**
- The blue ball is moving at a speed of 3 m/s, and we can consider this as moving to the right (positive direction).
- The green ball is moving at a speed of -2 m/s, indicating that it is moving to the left (negative direction).
**Answer:** **In opposite directions, away from each other.**
---
### Question 2
**What is the momentum of the blue and the green billiard balls respectively, before the collision?**
Momentum is calculated as \( p = m \times v \).
- For the blue ball: \( p_{blue} = 0.15 \, \text{kg} \times 3 \, \text{m/s} = 0.45 \, \text{kg.m/s} \)
- For the green ball: \( p_{green} = 0.15 \, \text{kg} \times (-2) \, \text{m/s} = -0.3 \, \text{kg.m/s} \)
**Answer:** **0.45 kg.m/s : -0.3 kg.m/s**
---
### Question 3
**What is the total momentum of the blue ball after the collision?**
If the blue ball stays in place after the collision, its speed is 0 m/s.
- Thus, \( p_{blue} = 0.15 \, \text{kg} \times 0 \, \text{m/s} = 0 \, \text{kg.m/s} \)
**Answer:** **0 kg.m/s**
---
### Question 4
**What is the momentum and direction of the green ball?**
In this case, if the blue ball stays in place (momentum = 0 kg.m/s), then due to the conservation of momentum, the green ball must carry the original total momentum that was in the system before the collision.
- Total initial momentum before the collision: \( 0.45 \, \text{kg.m/s} - 0.3 \, \text{kg.m/s} = 0.15 \, \text{kg.m/s} \)
If the blue ball is stationary after and the green ball is in motion, that indicates that the green ball is moving away from the blue ball in the same direction it was initially traveling before the collision.
**Answer:** **1.0 kg.m/s in the same direction from its original travel direction.**
(Note: However, if following conservation of momentum, this value seems incorrect, and there seems to be a discrepancy in the answers provided. For momentum after collision, you'll need further context or values from the question to confirm.)
### Question 1
**What direction are they traveling?**
- The blue ball is moving at a speed of 3 m/s, and we can consider this as moving to the right (positive direction).
- The green ball is moving at a speed of -2 m/s, indicating that it is moving to the left (negative direction).
**Answer:** **In opposite directions, away from each other.**
---
### Question 2
**What is the momentum of the blue and the green billiard balls respectively, before the collision?**
Momentum is calculated as \( p = m \times v \).
- For the blue ball: \( p_{blue} = 0.15 \, \text{kg} \times 3 \, \text{m/s} = 0.45 \, \text{kg.m/s} \)
- For the green ball: \( p_{green} = 0.15 \, \text{kg} \times (-2) \, \text{m/s} = -0.3 \, \text{kg.m/s} \)
**Answer:** **0.45 kg.m/s : -0.3 kg.m/s**
---
### Question 3
**What is the total momentum of the blue ball after the collision?**
If the blue ball stays in place after the collision, its speed is 0 m/s.
- Thus, \( p_{blue} = 0.15 \, \text{kg} \times 0 \, \text{m/s} = 0 \, \text{kg.m/s} \)
**Answer:** **0 kg.m/s**
---
### Question 4
**What is the momentum and direction of the green ball?**
In this case, if the blue ball stays in place (momentum = 0 kg.m/s), then due to the conservation of momentum, the green ball must carry the original total momentum that was in the system before the collision.
- Total initial momentum before the collision: \( 0.45 \, \text{kg.m/s} - 0.3 \, \text{kg.m/s} = 0.15 \, \text{kg.m/s} \)
If the blue ball is stationary after and the green ball is in motion, that indicates that the green ball is moving away from the blue ball in the same direction it was initially traveling before the collision.
**Answer:** **1.0 kg.m/s in the same direction from its original travel direction.**
(Note: However, if following conservation of momentum, this value seems incorrect, and there seems to be a discrepancy in the answers provided. For momentum after collision, you'll need further context or values from the question to confirm.)