Question

10. Масса оболочки воздушного шара составляет 300 кг. При надувании его гелием шар принимает объём 1000 м2, при этом плотность гелия в шаре 0,18 кг/м3. Плотность воздуха 1,29 кг/м3. Какую максимальную массу груза может поднять этот шар?​

Answer 1

Ответ:

пусть шар движется равномерно прямолинейно (без ускорения)

условие полета шара (получается через 1 закон ньютона, но быстрее просто им воспользоваться):

Fa = mg + m0g + m(г)g,

где Fa - Архимедова сила, m(г) - масса гелия внутри шара

p(в) g V = mg + g (m0 + p(г) V),

m = V (p(в) - p(г)) - m0,

m = 10^3 * 1,11 - 300 = 810 кг

Answer 2

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 air displaced by the balloon.

The weight of the air displaced by the balloon can be calculated using the formula:

Weight of air displaced = Density of air x Volume of the balloon

The weight of the balloon and the weight of the payload should be less than or equal to the weight of the air displaced.

Given information: - Mass of the balloon shell = 300 kg - Volume of the balloon = 1000 m^3 - Density of helium in the balloon = 0.18 kg/m^3 - Density of air = 1.29 kg/m^3

Let's calculate the maximum payload that the balloon can lift.

Calculation:

1. Calculate the weight of the air displaced by the balloon: - Density of air = 1.29 kg/m^3 - Volume of the balloon = 1000 m^3

Weight of air displaced = Density of air x Volume of the balloon

2. Calculate the weight of the balloon: - Mass of the balloon shell = 300 kg

3. Calculate the maximum payload: - Maximum payload = Weight of air displaced - Weight of the balloon

Let's perform the calculations:

1. Weight of air displaced: - Density of air = 1.29 kg/m^3 - Volume of the balloon = 1000 m^3

Weight of air displaced = 1.29 kg/m^3 x 1000 m^3 = 1290 kg

2. Weight of the balloon: - Mass of the balloon shell = 300 kg

Weight of the balloon = 300 kg

3. Maximum payload: - Maximum payload = Weight of air displaced - Weight of the balloon - Maximum payload = 1290 kg - 300 kg = 990 kg

Therefore, the maximum payload that this balloon can lift is 990 kg.

Please note that the calculations provided are based on the given information and assumptions.