Question

При загрузке глубина осадки судна увеличилась на 1,5 м.Опредилите массу груза,принятого кораблём,если площадь сечения корабля на кровне воды в среднем равна 4000 м в квадрате? Варианты ответов: а) 6000 т б) 2000 т в) 40 000 т

Answer 1

1.m=ρhS=1000* 1,5 * 4000=6000 т

Answer 2

Calculation of Cargo Mass

To determine the mass of the cargo carried by the ship, we can use the principle of buoyancy. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

In this case, the increase in the ship's draft (depth of submersion) by 1.5 meters indicates that the ship has displaced an additional volume of water equal to the volume of the cargo. We can calculate the mass of the cargo by multiplying the volume of water displaced by the cargo by the density of water.

The formula for calculating the mass of the cargo is:

Mass of Cargo = Volume of Water Displaced by Cargo × Density of Water

The volume of water displaced by the cargo can be calculated by multiplying the increase in draft by the cross-sectional area of the ship at the waterline.

Given that the cross-sectional area of the ship at the waterline is 4000 square meters and the increase in draft is 1.5 meters, we can calculate the volume of water displaced by the cargo.

Volume of Water Displaced by Cargo = Increase in Draft × Cross-sectional Area of Ship at Waterline

Let's calculate the mass of the cargo using the given values:

Volume of Water Displaced by Cargo = 1.5 meters × 4000 square meters

To proceed with the calculation, we need the density of water. The density of water is approximately 1000 kilograms per cubic meter.

Density of Water = 1000 kilograms per cubic meter

Now we can calculate the mass of the cargo:

Mass of Cargo = Volume of Water Displaced by Cargo × Density of Water

Substituting the values into the equation:

Mass of Cargo = (1.5 meters × 4000 square meters) × 1000 kilograms per cubic meter

Calculating the result:

Mass of Cargo = 6,000,000 kilograms

Therefore, the mass of the cargo carried by the ship is 6,000,000 kilograms or 6000 metric tons.