Question
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)
0.05 kg.m/s ; -0.075 kg.m/s
0.075 kg.m/s : 0.05 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
(1 point)
0.05 kg.m/s ; -0.075 kg.m/s
0.075 kg.m/s : 0.05 kg.m/s
0.45 kg.m/s : -0.3 kg.m/s
0.3 kg.m/s; 0.45 kg.m/s
Answers
Answered by
GPT-4o mini
To find the momentum of each billiard ball, we use the formula for momentum \( p = m \times v \), where \( p \) is momentum, \( m \) is mass, and \( v \) is velocity.
1. **For the blue billiard ball:**
- Mass \( m = 0.15 \) kg
- Velocity \( v = 3 \) m/s
- Momentum \( p_{\text{blue}} = 0.15 \, \text{kg} \times 3 \, \text{m/s} = 0.45 \, \text{kg.m/s} \)
2. **For the green billiard ball:**
- Mass \( m = 0.15 \) kg
- Velocity \( v = -2 \) m/s (negative indicates direction)
- Momentum \( p_{\text{green}} = 0.15 \, \text{kg} \times -2 \, \text{m/s} = -0.3 \, \text{kg.m/s} \)
Therefore, the momentum of the blue ball is \( 0.45 \, \text{kg.m/s} \) and the momentum of the green ball is \( -0.3 \, \text{kg.m/s} \).
The answer is:
**0.45 kg.m/s : -0.3 kg.m/s**.
1. **For the blue billiard ball:**
- Mass \( m = 0.15 \) kg
- Velocity \( v = 3 \) m/s
- Momentum \( p_{\text{blue}} = 0.15 \, \text{kg} \times 3 \, \text{m/s} = 0.45 \, \text{kg.m/s} \)
2. **For the green billiard ball:**
- Mass \( m = 0.15 \) kg
- Velocity \( v = -2 \) m/s (negative indicates direction)
- Momentum \( p_{\text{green}} = 0.15 \, \text{kg} \times -2 \, \text{m/s} = -0.3 \, \text{kg.m/s} \)
Therefore, the momentum of the blue ball is \( 0.45 \, \text{kg.m/s} \) and the momentum of the green ball is \( -0.3 \, \text{kg.m/s} \).
The answer is:
**0.45 kg.m/s : -0.3 kg.m/s**.