Question

Баржа длиной 20м и шириной 5м опустилась в воду на 10см, кода на её бот погрузили трактор. Найдите массу трактора.

Answer 1

v=20*5*0.1=10м3
Fa=1000*10*10=100000H
P=Fa=100000H
P=gm
m=100000/10=10000кг=10т

Answer 2

Calculation of the Tractor's Mass

To find the mass of the tractor, we can use the principle of buoyancy. When the barge is lowered into the water, it displaces a certain volume of water equal to its own volume. The weight of the water displaced is equal to the buoyant force acting on the barge. This buoyant force is equal to the weight of the barge and the tractor combined.

Given: - Length of the barge: 20m - Width of the barge: 5m - Submersion depth of the barge: 10cm

To calculate the mass of the tractor, we need to determine the volume of water displaced by the barge. The volume of water displaced is equal to the submerged volume of the barge.

The submerged volume of the barge can be calculated by multiplying the length, width, and submersion depth:

Submerged volume of the barge = Length x Width x Submersion depth

Substituting the given values:

Submerged volume of the barge = 20m x 5m x 0.1m = 10m³

Now, we need to find the mass of water displaced by the barge. The density of water is approximately 1000 kg/m³.

Mass of water displaced = Density of water x Submerged volume of the barge

Substituting the values:

Mass of water displaced = 1000 kg/m³ x 10m³ = 10,000 kg

Since the buoyant force is equal to the weight of the barge and the tractor combined, we can equate it to the mass of water displaced:

Buoyant force = Mass of water displaced = Mass of barge + Mass of tractor

We want to find the mass of the tractor, so we rearrange the equation:

Mass of tractor = Mass of water displaced - Mass of barge

Substituting the values:

Mass of tractor = 10,000 kg - (mass of the barge)

Unfortunately, the mass of the barge is not provided in the question, so we cannot calculate the exact mass of the tractor without this information.