A test tube standing vertically in a test-tube rack contains 2.5 cm of oil (ρ=0.81 g / cm^3) and

step 1 So we know that the pressure is equal to densely times the height and then times the acceleratio

Question

A test tube standing vertically in a test-tube rack contains $2.5 \mathrm{cm}$ of oil $\left(\rho=0.81 \mathrm{g} / \mathrm{cm}^{3}\right)$ and $6.5 \mathrm{cm}$ of water. What is the pressure exerted by the two liquids on the bottom of the test tube?

   A test tube standing vertically in a test-tube rack contains $2.5 \mathrm{cm}$ of oil $\left(\rho=0.81 \mathrm{g} / \mathrm{cm}^{3}\right)$ and $6.5 \mathrm{cm}$
of water. What is the pressure exerted by the two liquids on the bottom of the test tube?

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 13, Problem 83

Instant Answer

Solved by Expert Dading Chen

05/26/2020

Step 1

The pressure exerted by a liquid column is given by the formula $P=\rho g h$, where $\rho$ is the density of the liquid, $g$ is the acceleration due to gravity, and $h$ is the height of the liquid column. Show more…

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A test tube standing vertically in a test-tube rack contains $2.5 \mathrm{cm}$ of oil $\left(\rho=0.81 \mathrm{g} / \mathrm{cm}^{3}\right)$ and $6.5 \mathrm{cm}$ of water. What is the pressure exerted by the two liquids on the bottom of the test tube?

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Key Concepts

Pressure Addition in Layered Fluids

When different liquids are layered in a container, the overall pressure at the bottom is the sum of the pressures contributed by each individual liquid layer. Each layer, regardless of its type, exerts pressure based on its own density and height, and these pressures add together to give the total pressure at the bottom.

Hydrostatic Pressure

Hydrostatic pressure refers to the pressure exerted by a fluid at rest, resulting from the weight of the fluid above a given point. It is calculated by the formula P = ?gh, where ? is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column above the point in question.

Density

Density is a measure of mass per unit volume. It is a crucial physical property in fluid mechanics because it directly influences the magnitude of the pressure a fluid can exert when at rest, as seen in the formula for hydrostatic pressure.

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