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Weight Difference F38C14

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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.