
Будет ли тонуть груз массой 10 кг, объемом 4 л, помещённый в воду?


Ответы на вопрос




Will a 10 kg cargo with a volume of 4 liters sink in water?
According to the principle of buoyancy, an object will sink in water if its weight is greater than the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the object.
To determine if the cargo will sink or float, we need to compare its weight to the buoyant force.
The weight of the cargo can be calculated using the formula:
Weight = mass x gravitational acceleration
Given that the mass of the cargo is 10 kg, we can calculate its weight.
Weight = 10 kg x 9.8 m/s^2 (gravitational acceleration)
The buoyant force can be calculated using the formula:
Buoyant force = density of water x volume of water displaced x gravitational acceleration
The density of water is approximately 1000 kg/m^3.
The volume of water displaced by the cargo is equal to its volume, which is 4 liters or 0.004 m^3.
Buoyant force = 1000 kg/m^3 x 0.004 m^3 x 9.8 m/s^2
Now, let's compare the weight of the cargo to the buoyant force.
If the weight of the cargo is greater than the buoyant force, it will sink. If the weight is less than the buoyant force, it will float.
Let's calculate the weight and the buoyant force:
Weight = 10 kg x 9.8 m/s^2 = 98 N
Buoyant force = 1000 kg/m^3 x 0.004 m^3 x 9.8 m/s^2 = 39.2 N
Since the weight of the cargo (98 N) is greater than the buoyant force (39.2 N), the cargo will sink in water.
Therefore, a cargo with a mass of 10 kg and a volume of 4 liters, when placed in water, will sink.


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