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This table shows values of mass, velocity, and momentum, but the units for mass and velocity are not consistent, which affects how we calculate momentum. The formula for momentum is:

\[
p = mv
\]

Where:
- \( p \) is momentum,
- \( m \) is mass (in kilograms),
- \( v \) is velocity (in meters per second, \( \text{ms}^{-1} \)).

To verify or compute the momentum values, we need to ensure the mass is in kilograms (kg) and the velocity is in meters per second (m/s).

Let’s go through each row and convert all values to consistent units (SI units: kilograms for mass, meters per second for velocity) to see if the given momentum values are correct.

---

### Row 1:
- **Mass**: 4.5 g = \( 4.5 \times 10^{-3} \) kg
- **Velocity**: 20 m/s (already in m/s)
\[
\text{Momentum} = (4.5 \times 10^{-3} \, \text{kg}) \times (20 \, \text{ms}^{-1}) = 9.0 \times 10^{-2} \, \text{kgms}^{-1}
\]
The given momentum \( 9.0 \times 10^{-2} \, \text{kgms}^{-1} \) is correct.

---

### Row 2:
- **Mass**: 23 tonnes = \( 23 \times 10^{3} \) kg = 23,000 kg
- **Velocity**: 78 km/h = \( \frac{78 \times 1000}{3600} \, \text{m/s} = 21.67 \, \text{m/s} \)
\[
\text{Momentum} = (23,000 \, \text{kg}) \times (21.67 \, \text{ms}^{-1}) = 497,510 \, \text{kgms}^{-1}
\]
The momentum is not provided in the table, but we calculate it as approximately \( 4.975 \times 10^5 \, \text{kgms}^{-1} \).

---

### Row 3:
- **Mass**: 67,000 µg = \( 67,000 \times 10^{-6} \) g = \( 67 \times 10^{-3} \) g = \( 6.7 \times 10^{-5} \) kg
- **Velocity**: 34 cm/s = \( 34 \times 10^{-2} \, \text{ms}^{-1} = 0.34 \, \text{ms}^{-1} \)
\[
\text{Momentum} = (6.7 \times 10^{-5} \, \text{kg}) \times (0.34 \, \text{ms}^{-1}) = 2.278 \times 10^{-5} \, \text{kgms}^{-1}
\]
The momentum is not provided in the table, but it is approximately \( 2.28 \times 10^{-5} \, \text{kgms}^{-1} \).

---

### Row 4:
- **Mass**: 2 kg (already in kg)
- **Velocity**: 52 dm/s = \( 52 \times 10^{-1} \, \text{ms}^{-1} = 5.2 \, \text{ms}^{-1} \)
\[
\text{Momentum} = (2 \, \text{kg}) \times (5.2 \, \text{ms}^{-1}) = 10.4 \, \text{kgms}^{-1}
\]
Momentum is not provided in the table but is \( 10.4 \, \text{kgms}^{-1} \).

---

### Row 5:
- **Mass**: 45,000,000 mg = \( 45,000,000 \times 10^{-6} \) kg = 45 kg
- **Velocity**: \( 0.00000046c \) where \( c = 3 \times 10^8 \, \text{ms}^{-1} \), so:
\[
0.00000046c = 0.00000046 \times 3 \times 10^8 \, \text{ms}^{-1} = 138 \, \text{ms}^{-1}
\]
\[
\text{Momentum} = (45 \, \text{kg}) \times (138 \, \text{ms}^{-1}) = 6,210 \, \text{kgms}^{-1}
\]
Momentum is not provided in the table but is \( 6,210 \, \text{kgms}^{-1} \).

---

Would you like to delve deeper into any specific calculation? Here are some related questions:

1. How does unit conversion affect the momentum calculations?
2. How can you apply momentum conservation in different physical systems?
3. What happens to momentum when velocity approaches the speed of light?
4. How can momentum be applied to real-life engineering problems?
5. What is the relativistic momentum formula for velocities close to the speed of light?

**Tip**: Always ensure that units are consistent when performing physical calculations, especially in problems involving mass, velocity, and momentum!

The table displays mass, velocity, and momentum values with inconsistent units for mass and velocity, affecting the momentum calculation. The task involves converting all values to consistent units (SI units: kilograms for mass, meters per second for velocity) and verifying or computing the momentum values.

This detailed guide walks through momentum calculations, including unit conversions from various mass and velocity units to standard SI units, and checks the consistency of given momentum values. Key physics concepts include momentum (p = mv) and mass-velocity relationships, suitable for high school students.

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