Question 2670 Deck Safety

70% to pass

Your vessel displaces 641 tons. The existing deck cargo has a center of gravity of 3.6 feet above the deck and weighs 36 tons. If you load 22 tons of ground tackle with an estimated center of gravity of 2.0 feet above the deck, what is the final height of the CG of the deck cargo?

A 2.33 feet
B 2.55 feet
C 2.77 feet
D 2.99 feet
AI Explanation

The correct answer is D) 2.99 feet. To calculate the final height of the CG of the deck cargo, we need to use the formula for the weighted average of the centers of gravity: Final CG = (Existing CG * Existing Weight + New CG * New Weight) / (Existing Weight + New Weight) Given: - Existing CG = 3.6 feet - Existing Weight = 36 tons - New CG = 2.0 feet - New Weight = 22 tons Plugging these values into the formula: Final CG = (3.6 * 36 + 2.0 * 22) / (36 + 22) Final CG = 2.99 feet The other options are incorrect because they do not correctly apply the weighted average formula to calculate the final CG of the deck cargo.

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Official Resources
46 CFR Lifesaving Equipment USCG Marine Safety Center USCG National Maritime Center
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