Question

Сколько человек массой 70 кг могут подняться на воздушном шаре объемом 800 м3, который наполнен гелием, если шар весит 5000 Н?

Answer 1

Если даны давление и температура, до плотности гелия и воздуха рассчитываются по формуле: Ро(греческая буква!) = Mp/RT; молярная масса гелия М1 = 0,004 кг/моль; воздуха М2 = 0,029 кг/моль; R = 8,31 - газовая постоянная. Если сказано, что нормальные условия (р = 100000 Па, Т = 273 К), то плотности можно взять из таблиц. 
Подъемной силой воздушного шара называется разность силы АРхимеда воздуха и силы тяжести газа, заполняющего шар: F = (Po2 - Po1)Vg. 
Чтобы шар поднимался, эта сила должна быть больше либо равна суммарной силы тяжести оболочки и груза, т.е.людей: 
F >= (mоб + mлюд)g; отсюда сможешь найти число людей. Желаю успеха!

Answer 2

Calculating the Maximum Number of People a Hot Air Balloon Can Lift

To calculate the maximum number of people with a mass of 70 kg that a hot air balloon with a volume of 800 m^3, filled with helium, can lift, we can use the following steps:

1. Calculate the Buoyant Force Acting on the Balloon: - The buoyant force acting on the balloon can be calculated using the formula: ``` Buoyant force = Weight of air displaced - Weight of balloon ``` - The weight of air displaced can be calculated using the formula: ``` Weight of air displaced = Density of air * Volume of the balloon * Acceleration due to gravity ``` - The weight of the balloon is given as 5000 N.

2. Calculate the Maximum Load the Balloon Can Lift: - Once we have the buoyant force, we can calculate the maximum load the balloon can lift by subtracting the weight of the balloon from the buoyant force.

3. Determine the Maximum Number of People: - Finally, we can divide the maximum load by the mass of each person (70 kg) to determine the maximum number of people the balloon can lift.

Let's calculate these values step by step.

Calculating the Buoyant Force

The buoyant force acting on the balloon can be calculated using the formula: ``` Buoyant force = Weight of air displaced - Weight of balloon ``` The weight of air displaced can be calculated using the formula: ``` Weight of air displaced = Density of air * Volume of the balloon * Acceleration due to gravity ``` The weight of the balloon is given as 5000 N.

Calculating the Maximum Load the Balloon Can Lift

Once we have the buoyant force, we can calculate the maximum load the balloon can lift by subtracting the weight of the balloon from the buoyant force.

Determining the Maximum Number of People

Finally, we can divide the maximum load by the mass of each person (70 kg) to determine the maximum number of people the balloon can lift.

Let's proceed with the calculations.