Question 4880Deck General70% to pass
A floating MODU displacing 20,000 long tons with a VCG of 50 feet loads 100 long tons at 100 feet above the baseline and 200 long tons at 130 feet above the baseline. What is the new KG?
AI Explanation
The correct answer is C) 51.0 feet.
To calculate the new KG (Keel to Center of Gravity) after the additional load, we can use the formula: (Original Weight * Original KG + Additional Weight 1 * Height 1 + Additional Weight 2 * Height 2) / (Original Weight + Additional Weight 1 + Additional Weight 2).
Given:
- Original displacement: 20,000 long tons
- Original VCG (Vertical Center of Gravity): 50 feet
- Additional load 1: 100 long tons at 100 feet above the baseline
- Additional load 2: 200 long tons at 130 feet above the baseline
Plugging in the values, we get:
(20,000 * 50 + 100 * 100 + 200 * 130) / (20,000 + 100 + 200) = 51.0 feet
The other options are incorrect because they do not match the calculated value of 51.0 feet for the new KG.
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