The United States possesses the ten largest warships in the world—aircraft carri

Question

The United States possesses the ten largest warships in the world—aircraft carriers of the Nimitz class—and is building two more. Suppose one of the ships bobs up to float 12.0 cm higher in the ocean water when 55 fighters take off from it in a time interval of 25 min, at a location where the free fall acceleration is 9.78 m/s2. The planes have average laden mass of 29040 kg. Find the horizontal area enclosed by the waterline of the ship. (Use 1030 kg/m3 as the density of ocean water.)

___m^2? it is not 23.95

Explanation / Answer

total mass M = 55 * 29040kg = 1597200 kg

volume of seawater with that mass:
V = m / = 1597200kg / 1030kg/m³ = 1550,67 m³

Assuming a constant horizontal cross-section, the required area is
A = V / h = 1550.67m³ / 0.120m = 12922.3301 m²

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