Question

Железный цилиндр опущен в мензурку с водой. Уровень воды в мензурке был 80 л, а после погружения стал 120 л. Определите P данного цилиндра, если плотность железа— 7,8 г/см3, а g=10H/кг

Answer 1

Fa = ρ₁*g*ΔV
Fт = ρ₂*g*ΔV
P = Fт - Fa = ρ₂*g*ΔV - ρ₁*g*ΔV = g*ΔV*(ρ₂ - ρ₁) = 10 Н/кг *(120 - 80) * 10⁻³ м³ * (7800 кг/м³ - 1000 кг/м³) = 10 Н/кг * 40*10⁻³ м³ * 6800 кг/м³ = 2720 Н

Answer 2

Calculation of the Volume of the Iron Cylinder

To determine the pressure (P) of the given iron cylinder, we first need to calculate the volume of the cylinder. We can use the change in water level in the measuring cylinder to find the volume of the submerged part of the cylinder.

The initial water level in the measuring cylinder was 80 liters, and after the cylinder was submerged, the water level rose to 120 liters. Therefore, the change in water level is 120 liters - 80 liters = 40 liters.

To convert the volume from liters to cubic centimeters (cm³), we use the conversion factor: 1 liter = 1000 cm³.

So, the change in volume is 40 liters * 1000 cm³/liter = 40,000 cm³.

Calculation of the Density of the Iron Cylinder

Next, we need to calculate the mass of the iron cylinder. We can use the density of iron and the volume of the submerged part of the cylinder to find the mass.

The density of iron is given as 7.8 g/cm³.

The volume of the submerged part of the cylinder is 40,000 cm³.

To calculate the mass, we use the formula: mass = density * volume.

So, the mass of the iron cylinder is 7.8 g/cm³ * 40,000 cm³ = 312,000 g.

Calculation of the Weight of the Iron Cylinder

To calculate the weight of the iron cylinder, we need to multiply the mass by the acceleration due to gravity.

The acceleration due to gravity (g) is given as 10 m/s².

To convert the mass from grams to kilograms, we divide by 1000.

So, the weight of the iron cylinder is (312,000 g / 1000) kg * 10 m/s² = 3120 kg * m/s² = 3120 N.

Calculation of the Pressure of the Iron Cylinder

Finally, we can calculate the pressure (P) of the iron cylinder using the formula: pressure = force / area.

The force is the weight of the iron cylinder, which is 3120 N.

To calculate the area, we need to know the cross-sectional area of the cylinder. Unfortunately, this information is not provided in the question. Without the cross-sectional area, we cannot calculate the pressure accurately.

Please provide the cross-sectional area of the iron cylinder so that we can calculate the pressure accurately.