Question

объём судна под ватерлинией равен 100 м3. Рассчитайте, чему равна сила Архимеда. Можно ли на судно погрузить 70т груза, если масса судна 30т?

Answer 1

Ответ: 1МН; можно погрузить 70 т груза.

Объяснение:

Дано:

V=100м³

ρ=1000кг/м³

m1=70т=70000кг

m=30т=30000кг

-----------------------

Fa-?

Fa=ρgV=1000*10*100=1000000Н=1МН

Вес груза и судна равны:

Р=(m1+m)*g=(70000+30000)*10=1000000Н=1МН

Можно на судно погрузить 70т груза.

Answer 2

Calculation of Archimedes' Force

To calculate the Archimedes' force, we need to know the volume of the ship submerged in water and the density of water. The Archimedes' force is equal to the weight of the water displaced by the submerged part of the ship.

Given: - Volume of the ship below the waterline = 100 m^3 - Density of water = 1000 kg/m^3 (approximate value)

To calculate the Archimedes' force, we can use the formula:

Archimedes' force = Volume of the ship below the waterline * Density of water * Acceleration due to gravity

Substituting the given values:

Archimedes' force = 100 m^3 * 1000 kg/m^3 * 9.8 m/s^2

Calculating the above expression, we find that the Archimedes' force is approximately 980,000 N.

Can the Ship Carry 70 tons of Cargo?

To determine if the ship can carry 70 tons of cargo, we need to consider the total weight of the ship and the cargo.

Given: - Mass of the ship = 30 tons - Mass of the cargo = 70 tons

To determine if the ship can carry the cargo, we need to compare the total weight of the ship and the cargo with the buoyant force exerted by the water.

The buoyant force is equal to the weight of the water displaced by the submerged part of the ship. In this case, the buoyant force is equal to the Archimedes' force calculated earlier.

If the total weight of the ship and the cargo is less than or equal to the buoyant force, then the ship can carry the cargo.

Let's calculate the total weight of the ship and the cargo:

Total weight = Mass of the ship + Mass of the cargo Total weight = 30 tons + 70 tons Total weight = 100 tons

Comparing the total weight with the Archimedes' force:

Total weight = 100 tons = 100,000 kg Archimedes' force = 980,000 N

Since the total weight of the ship and the cargo is less than the Archimedes' force, it is possible to load 70 tons of cargo onto the ship.

Please note that this calculation assumes ideal conditions and does not take into account other factors such as stability, load distribution, and safety regulations. It is always important to consider these factors when determining the maximum load capacity of a ship.