You construct an ocean-going barge out of 2.50×10^5 kg of iron. The shape of you

Question

You construct an ocean-going barge out of 2.50×10^5 kg of iron. The shape of your barge is a rectangular bottom measuring 18.0 m x 15.0 m and having vertical sides.

A) What is the minimum height the sides must be so that your barge will float in the ocean?
h min = ? cm

B) Suppose you make the sides 75.0 % higher than the minimum necessary. What is the mass of the heaviest load you could carry in the ocean without sinking?
m = ? kg

C) If your barge goes up the Mississippi River, which is fresh water, how much extra mass can you carry without sinking?
m = ? kg

Explanation / Answer

A 89.9 cm B 1.88 x 10^5 kg C 1.75 x 10^5 kg

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