Question

Масса оболочки воздушного шара оставляет 200 грамм. Принадувании его гелием шар принимает объем 1000 кубических метров. При этом плотность гелия в шаре состовляет 0,018 кг/м в кубе, а плотность воздуха 1,29 кг/м в кубе. Какую максимальную массу груза может поднять этот шар?

Answer 1

Calculation of Maximum Payload for the Balloon

To calculate the maximum payload that the balloon can lift, we need to consider the buoyant force acting on the balloon. The buoyant force is equal to the weight of the displaced air, which is given by the difference between the weight of the air displaced by the balloon and the weight of the helium inside the balloon.

Let's calculate the maximum payload step by step:

1. Calculate the weight of the air displaced by the balloon: - The volume of the balloon is given as 1000 cubic meters. - The density of air is 1.29 kg/m^3. - Therefore, the weight of the air displaced by the balloon is 1000 cubic meters * 1.29 kg/m^3 = 1290 kg.

2. Calculate the weight of the helium inside the balloon: - The density of helium inside the balloon is 0.018 kg/m^3. - The volume of the balloon is given as 1000 cubic meters. - Therefore, the weight of the helium inside the balloon is 1000 cubic meters * 0.018 kg/m^3 = 18 kg.

3. Calculate the buoyant force: - The buoyant force is equal to the weight of the displaced air minus the weight of the helium inside the balloon. - Buoyant force = 1290 kg - 18 kg = 1272 kg.

Therefore, the maximum payload that the balloon can lift is 1272 kg.

Please note that this calculation assumes ideal conditions and does not take into account other factors such as the weight of the balloon itself, the weight of the envelope, or any other external forces acting on the balloon.

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