Question

Помогите решить задачу по физикеВоздушный шар объемом 45 м. кубических наполнили горячим воздухом плотностью 0.9 кг/м. куб, Плотность окружающего шар воздуха равна 1.3 кг/м.куб. При какой максимальной массе оболочки шар может взлететь? ( найти массу оболочки)

Answer 1

Воздушный шар объемом 45 м. кубических  наполнили горячим воздухом плотностью 0.9 кг/м. куб, Плотность окружающего шар воздуха равна 1.3 кг/м.куб. При какой максимальной массе оболочки шар может взлететь? ( найти массу оболочки)
Дано V=45 м3     p1=0,9 кг/м3   p2=1,3 кг/м3    M- ?

M*g +p1*V*g = Fa
M=(p2*g*V-p1*g*V)/g=V*(p1-p2)=45*(1,3-0,9)=18 кг

Ответ M=18 кг

Answer 2

Problem Analysis

To find the maximum mass of the envelope 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 difference between the weight of the air displaced and the weight of the balloon itself is the maximum mass the balloon can lift.

Solution

To find the maximum mass of the envelope, we can follow these steps:

1. Calculate the weight of the air displaced by the balloon. 2. Calculate the weight of the balloon itself. 3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift.

Calculation

1. Calculate the weight of the air displaced by the balloon: - The volume of the balloon is given as 45 m³. - The density of the surrounding air is given as 1.3 kg/m³. - The weight of the air displaced can be calculated using the formula: weight = density * volume * gravity, where gravity is approximately 9.8 m/s². - Substituting the given values, we get: weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s².

2. Calculate the weight of the balloon itself: - The density of the hot air inside the balloon is given as 0.9 kg/m³. - The volume of the balloon is given as 45 m³. - The weight of the balloon can be calculated using the formula: weight = density * volume * gravity, where gravity is approximately 9.8 m/s². - Substituting the given values, we get: weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - Maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon from the weight of the air displaced to find the maximum mass the balloon can lift: - maximum mass = weight of air displaced - weight of balloon.

Let's calculate the maximum mass of the envelope.

Calculation

1. Calculate the weight of the air displaced by the balloon: - weight of air displaced = 1.3 kg/m³ * 45 m³ * 9.8 m/s² = 1.3 * 45 * 9.8 kg * m/s².

2. Calculate the weight of the balloon itself: - weight of balloon = 0.9 kg/m³ * 45 m³ * 9.8 m/s² = 0.9 * 45 * 9.8 kg * m/s².

3. Subtract the weight of the balloon