Question

Визначте об'єм зануреної у воду частини машини-амфібії, якщо на неї діє архімедова сила 140 кН. Якою є маса машини-амфібії?​

Answer 1

Объяснение:

в = 140000/100*10 = 14 м3

Сила тяжіння, що діє на машину-амфібію, дорівнює архімедовій силі: Fm = Fv; mg = pra,gK. Маса машини-амфібії:

м = 1000*10*14/10 = 14000 кг = 14 т

відповідь 14 м3 и 14 т

Answer 2

Calculating the Volume of the Submerged Portion of an Amphibious Vehicle

To calculate the volume of the submerged portion of an amphibious vehicle, we can use the formula for the buoyant force acting on the vehicle, which is equal to the weight of the water displaced by the vehicle. The buoyant force can be calculated using the formula:

Buoyant force = Weight of the water displaced = Density of water × Volume of water displaced × g

Where: - Density of water is approximately 1000 kg/m³ - g is the acceleration due to gravity, which is approximately 9.81 m/s²

Given that the buoyant force acting on the amphibious vehicle is 140 kN, we can use this information to calculate the volume of the water displaced, which will be equal to the volume of the submerged portion of the vehicle.

Calculating the Volume

Using the formula for the buoyant force, we can rearrange it to solve for the volume of water displaced:

Volume of water displaced = Buoyant force / (Density of water × g)

Substituting the given values: Volume of water displaced = 140,000 N / (1000 kg/m³ × 9.81 m/s²)

Calculating the volume of water displaced will give us the volume of the submerged portion of the amphibious vehicle.

Determining the Mass of the Amphibious Vehicle

To determine the mass of the amphibious vehicle, we can use the relationship between weight, mass, and gravity:

Weight = Mass × g

Given that the weight of the amphibious vehicle is equal to the buoyant force acting on it, which is 140 kN, we can rearrange the formula to solve for the mass:

Mass = Weight / g

Substituting the given values: Mass = 140,000 N / 9.81 m/s²

Calculating the mass of the amphibious vehicle will provide us with the answer to the second part of the question.

By using these calculations, we can determine both the volume of the submerged portion of the amphibious vehicle and the mass of the vehicle.