Question 4880 Deck General

70% 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?

A 49.0 feet
B 50.0 feet
C 51.0 feet
D 51.8 feet
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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