Question

Масса пустой трехлитровой канистры 370г. Какое давление будет оказывать канистра на горизонтальную поверхность,если её заполнить бензином? Площадь дна 400 см². плотность бензина=710 кг/м³пожалуйста решите в виде оформленной задачи!!!​!​

Answer 1

Ответ:

m = 370 г = 0,37 кг.

Vб = 3 л = 0,003 м3.

ρб = 710 кг/м3.

g = 9,8 м/с2.

S = 400 см2 = 0,04 м2.

P - ?

Давлением Р называется отношение силы F к площади S, на которую эта сила действует: P = F/S.

Канистра с бензином действует силой своего веса F на поверхность стола S. Вес канистры с бензином выразим по формуле: F = m *g + mб *g = (m + mб) *g.

Массу бензина mб выразим формулой: mб = Vб *ρб, где Vб - объём бензина, ρб - плотность бензина.

P = (m + Vб *ρб) *g/S.

P = (0,37 кг + 0,003 м3 *710 кг/м3) *9,8 м/с2/0,04 м2 = 612,5 Па.

Ответ: давление канистры с

Answer 2

Problem Statement:

We are given the following information: - The empty mass of a three-liter canister is 370 grams. - The canister is filled with gasoline. - The area of the bottom of the canister is 400 cm². - The density of gasoline is 710 kg/m³.

We need to determine the pressure exerted by the canister on a horizontal surface when it is filled with gasoline.

Solution:

To solve this problem, we can use the concept of pressure, which is defined as the force per unit area. The pressure exerted by the canister on the surface can be calculated by dividing the weight of the canister and the gasoline it contains by the area of the bottom of the canister.

First, let's calculate the weight of the canister and the gasoline it contains. The weight can be calculated by multiplying the mass by the acceleration due to gravity (g).

Given: - Mass of the empty canister = 370 grams - Density of gasoline = 710 kg/m³ - Volume of the canister = 3 liters = 3000 cm³

To find the weight of the canister and the gasoline, we need to convert the mass of the canister to kilograms and calculate the mass of the gasoline.

Step 1: Convert the mass of the canister to kilograms: - Mass of the canister = 370 grams = 0.37 kilograms

Step 2: Calculate the mass of the gasoline: - Volume of the gasoline = Volume of the canister - Volume of the empty canister - Volume of the gasoline = 3000 cm³ - 0 cm³ (since the canister is empty) - Volume of the gasoline = 3000 cm³ = 3000/1000 = 3 liters = 0.003 m³

- Mass of the gasoline = Density of gasoline * Volume of the gasoline - Mass of the gasoline = 710 kg/m³ * 0.003 m³ = 2.13 kilograms

Step 3: Calculate the total mass of the canister and the gasoline: - Total mass = Mass of the canister + Mass of the gasoline - Total mass = 0.37 kilograms + 2.13 kilograms = 2.5 kilograms

Now that we have the total mass of the canister and the gasoline, we can calculate the pressure exerted by the canister on the surface.

Step 4: Calculate the pressure: - Pressure = Weight / Area - Weight = Total mass * g (where g is the acceleration due to gravity, approximately 9.8 m/s²)

Substituting the values: - Weight = 2.5 kilograms * 9.8 m/s² = 24.5 N - Area = 400 cm² = 400/10000 m² = 0.04 m²

- Pressure = 24.5 N / 0.04 m² = 612.5 Pa

Therefore, the canister will exert a pressure of 612.5 Pascal (Pa) on the horizontal surface when it is filled with gasoline.

Answer:

The canister will exert a pressure of 612.5 Pascal (Pa) on the horizontal surface when it is filled with gasoline.

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