Weight Difference F38C14
1. **State the problem:** We need to find how much more the weight of the module is on Earth compared to Venus, given the weight on Venus is 1356.27 kg.
2. **Given data:**
- Weight on Venus = 1356.27 kg
- Mass of the module = 3300 lb (Note: 1 lb = 0.453592 kg)
3. **Convert mass from pounds to kilograms:**
$$3300 \times 0.453592 = 1496.8536\text{ kg}$$
4. **Recall the relationship between weight and mass:**
Weight = Mass \times Gravity
5. **Calculate gravity on Venus:**
$$g_{Venus} = \frac{Weight_{Venus}}{Mass} = \frac{1356.27}{1496.8536} \approx 0.9059\text{ m/s}^2$$
6. **Calculate weight on Earth:**
Earth's gravity is approximately 9.81 m/s², so
$$Weight_{Earth} = Mass \times g_{Earth} = 1496.8536 \times 9.81 = 14682.18\text{ kg (force equivalent)}$$
7. **Calculate the difference in weight between Earth and Venus:**
$$\text{Difference} = Weight_{Earth} - Weight_{Venus} = 14682.18 - 1356.27 = 13325.91\text{ kg (force equivalent)}$$
8. **Interpretation:** The module weighs 13325.91 kg more on Earth than on Venus.
**Final answer:**
$$\boxed{13325.91}$$ kilograms more on Earth than on Venus.