Question
Which has more momentum? A 100-ton fishing boat going 30 knots or a 3000-ton ship going 10 knots. 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 object has more momentum, we can use the formula for momentum, which is:
\[ \text{Momentum} (p) = \text{Mass} (m) \times \text{Velocity} (v) \]
1. **For the fishing boat:**
- Mass = 100 tons = 100,000 kg (since 1 ton = 1,000 kg)
- Velocity = 30 knots = 30 * 0.51444 m/s ≈ 15.43 m/s (since 1 knot ≈ 0.51444 m/s)
\[
p_{\text{boat}} = 100,000 \text{ kg} \times 15.43 \text{ m/s} \approx 1,543,000 \text{ kg m/s}
\]
2. **For the larger ship:**
- Mass = 3000 tons = 3,000,000 kg
- Velocity = 10 knots = 10 * 0.51444 m/s ≈ 5.14 m/s
\[
p_{\text{ship}} = 3,000,000 \text{ kg} \times 5.14 \text{ m/s} \approx 15,420,000 \text{ kg m/s}
\]
Now we can compare the two momenta:
- Momentum of the fishing boat: approximately 1,543,000 kg m/s
- Momentum of the larger ship: approximately 15,420,000 kg m/s
Thus, the 3000-ton ship going 10 knots has significantly more momentum than the 100-ton fishing boat going 30 knots.
**What kind of question is this?**
This question requires applying a scientific principle (momentum) to compare two different scenarios, making it a physics problem. It involves quantitative reasoning and calculations, helping to deepen understanding of the concept of momentum in relation to mass and velocity. The manner of questioning does not reflect a bossy or polite tone but is straightforward and factual.
\[ \text{Momentum} (p) = \text{Mass} (m) \times \text{Velocity} (v) \]
1. **For the fishing boat:**
- Mass = 100 tons = 100,000 kg (since 1 ton = 1,000 kg)
- Velocity = 30 knots = 30 * 0.51444 m/s ≈ 15.43 m/s (since 1 knot ≈ 0.51444 m/s)
\[
p_{\text{boat}} = 100,000 \text{ kg} \times 15.43 \text{ m/s} \approx 1,543,000 \text{ kg m/s}
\]
2. **For the larger ship:**
- Mass = 3000 tons = 3,000,000 kg
- Velocity = 10 knots = 10 * 0.51444 m/s ≈ 5.14 m/s
\[
p_{\text{ship}} = 3,000,000 \text{ kg} \times 5.14 \text{ m/s} \approx 15,420,000 \text{ kg m/s}
\]
Now we can compare the two momenta:
- Momentum of the fishing boat: approximately 1,543,000 kg m/s
- Momentum of the larger ship: approximately 15,420,000 kg m/s
Thus, the 3000-ton ship going 10 knots has significantly more momentum than the 100-ton fishing boat going 30 knots.
**What kind of question is this?**
This question requires applying a scientific principle (momentum) to compare two different scenarios, making it a physics problem. It involves quantitative reasoning and calculations, helping to deepen understanding of the concept of momentum in relation to mass and velocity. The manner of questioning does not reflect a bossy or polite tone but is straightforward and factual.