What minimum height must the sides have for this boat to float in perfectly calm water?

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boat floats @ level weight of water displaced = mass of object floating, so...

let x = height of sides in meters.

mass of steel boat

(7 * 10 * 0.05 + 2 * 10 * 0.05 * x + 2 * 7 * 0.05 * x) * 7900
13460* x + 27650

volume of boat

7 * 10 * x = 70x
density of water 1 gram / cubic cm or 1000 kg / cubic meter
weight of water displaced boat 70 * 1000 * x = 70000 * x

since 2 masses equal...

70000 * x = 13460 * x + 27650
56540 * x = 27650
x = 2765 / 5654 = (aprox) 0.49 meters = 49 cm

the bottom of steel boat 7.0 m x 10 m x 5.0 cm piece of steel, (steel =7900 kg/m^3) sides made of 0.51-cm-thick steel.

minimum height must sides have boat float in calm water?
answer in cm

thanks


Science & Mathematics Physics Next



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