Question

Плотность воздуха 1,3 кг/м3. Груз какой максимальной массы сможет поднять воздушный шар общей массой 50 кг и объѐмом 100 м3?

Answer 1

Po=1.3 кг/м3   m1=50 кг    V=100 м3  m2=?
===
m1*g + m2*g=po*g*V
m2=po*V - m1=1.3*100 - 50=80 кг

Answer 2

Calculation of the Maximum Mass the Balloon Can Lift

To calculate the maximum mass that an air 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 can be calculated using the formula:

Weight of air displaced = Density of air * Volume of the balloon * Acceleration due to gravity.

Given that the density of air is 1.3 kg/m^3, the volume of the balloon is 100 m^3, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight of air displaced:

Weight of air displaced = 1.3 kg/m^3 * 100 m^3 * 9.8 m/s^2.

Let's calculate the weight of air displaced:

Weight of air displaced = 1.3 kg/m^3 * 100 m^3 * 9.8 m/s^2 = 1274 kg.

Therefore, the maximum mass that the balloon can lift is approximately 1274 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 gas inside the balloon, and any additional weight attached to the balloon.