Question
Which has more momentum? A 100 ton fishing boat going 30 knots or a 3000 ton ship going 10 knots.ResponsesThis is a bossy question. What kind of question is this
This is a bossy question.This is a polite problem.
This is a bossy question.This is a polite problem.
Answers
GPT-4o mini
To determine which vessel has more momentum, we need to calculate the momentum for both the fishing boat and the larger ship. Momentum is calculated using the formula:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
1. **Fishing Boat:**
- Mass = 100 tons = 100,000 kg (since 1 ton is approximately 1,000 kg)
- Velocity = 30 knots = 30 × 0.51444 m/s ≈ 15.24 m/s (1 knot is approximately 0.51444 m/s)
- Momentum = 100,000 kg × 15.24 m/s = 1,524,000 kg·m/s
2. **3000 Ton Ship:**
- Mass = 3000 tons = 3,000,000 kg
- Velocity = 10 knots = 10 × 0.51444 m/s ≈ 5.14 m/s
- Momentum = 3,000,000 kg × 5.14 m/s = 15,420,000 kg·m/s
Now, we can compare the momentum:
- Fishing Boat momentum: 1,524,000 kg·m/s
- Ship momentum: 15,420,000 kg·m/s
**Conclusion:** The 3000 ton ship going 10 knots has more momentum than the 100 ton fishing boat going 30 knots.
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
1. **Fishing Boat:**
- Mass = 100 tons = 100,000 kg (since 1 ton is approximately 1,000 kg)
- Velocity = 30 knots = 30 × 0.51444 m/s ≈ 15.24 m/s (1 knot is approximately 0.51444 m/s)
- Momentum = 100,000 kg × 15.24 m/s = 1,524,000 kg·m/s
2. **3000 Ton Ship:**
- Mass = 3000 tons = 3,000,000 kg
- Velocity = 10 knots = 10 × 0.51444 m/s ≈ 5.14 m/s
- Momentum = 3,000,000 kg × 5.14 m/s = 15,420,000 kg·m/s
Now, we can compare the momentum:
- Fishing Boat momentum: 1,524,000 kg·m/s
- Ship momentum: 15,420,000 kg·m/s
**Conclusion:** The 3000 ton ship going 10 knots has more momentum than the 100 ton fishing boat going 30 knots.