Question

воздушный шар объемом 200 м3 наполнен водородом .Масса оболочки шара равна 10 кг.Груз какой массы может поднять этот шар?

Answer 1

Fт=Fa
p1*g*V=10+x+p2*g*V
1,27*10*200=10+x+0,09*200*10
x=2350
ответ m= 2350 кг

Answer 2

Calculating the Maximum Load Capacity of the Hydrogen-Filled Balloon

To calculate the maximum load capacity of the hydrogen-filled balloon, we can use the principle of buoyancy. The buoyant force acting on the balloon is equal to the weight of the air displaced by the balloon. This buoyant force allows the balloon to lift a certain mass.

Given Data

- Balloon Volume (V): 200 m^3 - Mass of Balloon Shell (m): 10 kg

Buoyant Force Calculation

The buoyant force (F_b) can be calculated using the formula: F_b = V * ρ * g Where: - V is the volume of the balloon - ρ is the density of the surrounding air - g is the acceleration due to gravity

Density of Hydrogen

The density of hydrogen gas (ρ_hydrogen) is approximately 0.08988 kg/m^3 at standard conditions.

Maximum Load Capacity Calculation

The maximum load capacity (m_load) that the balloon can lift is given by: m_load = (F_b - m) / g

Substituting the values: m_load = (V * ρ_hydrogen * g - m) / g

Let's calculate the maximum load capacity using the given values.

Calculation

- V = 200 m^3 - m = 10 kg - ρ_hydrogen = 0.08988 kg/m^3 - g = 9.81 m/s^2 (acceleration due to gravity)

Using the formula: m_load = (200 * 0.08988 * 9.81 - 10) / 9.81

Calculating the value: m_load ≈ 175.6 kg

Conclusion

The hydrogen-filled balloon with a volume of 200 m^3 and a shell mass of 10 kg can lift a maximum load of approximately 175.6 kg.