Question

Вес тела в воздухе 12,6Н, а в жидкости — 10,6Н. Чему равна масса вытесненной жидкости? (g=10н/кг) ответ выразите в кг

Answer 1

P₀=12,6 Н
P=10,6 Н

m=?

Исходя из формулы силы Архимеда (выталкивающей силы), она равна весу вытесненной жидкости. Следовательно, масса будет равна частному от деления силы Архимеда на ускорение свободного падения. А сила Архимеда равна разнице веса тела в жидкости и веса тела в воздухе:
$m=\frac{Fa}{g} = \frac{P_{0}-P }{g}$ = (12,6 Н - 10,6 Н) / 10 Н/кг = 2 Н / 10 Н/кг = 0,2 кг.
Ответ: масса вытесненной жидкости равна 0,2 кг.

Answer 2

Calculating the Mass of the Displaced Liquid

To calculate the mass of the displaced liquid, we can use the formula:

F = ρVg

Where: - F = force exerted by the liquid on the body - ρ = density of the liquid - V = volume of the liquid displaced - g = acceleration due to gravity

The force exerted by the liquid on the body can be calculated using the difference in weight between the body in air and in the liquid.

Given: - Weight of the body in air, F_air = 12.6 N - Weight of the body in the liquid, F_liquid = 10.6 N - Acceleration due to gravity, g = 10 N/kg

We can calculate the volume of the liquid displaced and then use the density of the liquid to find its mass.

Calculating the Volume of the Displaced Liquid

The difference in weight between the body in air and in the liquid is equal to the weight of the displaced liquid. Therefore, the force exerted by the liquid on the body is:

F = F_air - F_liquid

Substituting the given values: F = 12.6 N - 10.6 N = 2 N

Now, we can use the formula F = ρVg to find the volume of the displaced liquid.

Finding the Density of the Liquid

To find the density of the liquid, we need to know the volume of the displaced liquid and the force exerted by it. The density can be calculated using the formula:

ρ = F / (Vg)

Calculating the Mass of the Displaced Liquid

Once the density of the liquid is known, the mass of the displaced liquid can be calculated using the formula:

m = ρV

We can now proceed with the calculations to find the mass of the displaced liquid.