**Educational Example on Buoyancy and Fluid Dynamics**A cubical block of wood, 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.75 cm below the interface. The density of oil is 790 kg/m³.**(A)** What is the gauge pressure at the upper face of the block?**(B)** What is the mass and density of the block?---**Diagram Explanation:**The accompanying diagram shows a beaker containing two immiscible liquids: oil and water. The oil layer is on top, and the water layer is on the bottom. Within the beaker, a cubical block of wood is floating such that it partially submerges in both liquids. The block has a total side length of 10.0 cm.- The oil layer is depicted as the top layer of liquid.- The water layer is depicted as the bottom layer of liquid.- The block of wood is drawn partially submerged in both liquids, with a clear distinction between the oil and water interface.- Measurements are given: the total height of the block is 10 cm, with 1.75 cm of the block submerged below the oil-water interface into the water.This setup illustrates the principles of buoyancy and fluid pressure, where the pressure at various depths and the density of the immersed object can be analyzed to understand its floating behavior.

Name: **Educational Example on Buoyancy and Fluid Dynamics**A cubical block
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Description: **Educational Example on Buoyancy and Fluid Dynamics**A cubical block of wood, 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.75 cm below the interface. The density of oil is 790 kg/m³.**(A)** What is the g

Given Side of cube = 10cm = 0.1m Density of oil = 790kg/m3

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Physics

A cubical block of wood, 10.0 cm on a side, flaats at the interface between oil and woter with its lower surface 1,75 cm belaw the interface. The density of oil is 790 kg/m? (A.) What is the gavge pressure at the upper face of the block? (B) What is the mass ond density of the black? Oil 10.0 Wood cm 米 10.0 Water cm ト

A cubical block of wood, 10.0 cm on a side, flaats at the interface between oil and woter with its lower surface 1,75 cm belaw the interface. The density of oil is 790 kg/m? (A.) What is the gavge pressure at the upper face of the block? (B) What is the mass ond density of the black? Oil 10.0 Wood cm 米 10.0 Water cm ト

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 16P: A hydrometer is an instrument used to determine liquid density. A simple one is sketched in Figure...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

**Educational Example on Buoyancy and Fluid Dynamics**

A cubical block of wood, 10.0 cm on a side, floats at the interface between oil and water with its lower surface 1.75 cm below the interface. The density of oil is 790 kg/m³.

**(A)** What is the gauge pressure at the upper face of the block?

**(B)** What is the mass and density of the block?

---

**Diagram Explanation:**

The accompanying diagram shows a beaker containing two immiscible liquids: oil and water. The oil layer is on top, and the water layer is on the bottom. Within the beaker, a cubical block of wood is floating such that it partially submerges in both liquids. The block has a total side length of 10.0 cm.

- The oil layer is depicted as the top layer of liquid.
- The water layer is depicted as the bottom layer of liquid.
- The block of wood is drawn partially submerged in both liquids, with a clear distinction between the oil and water interface.
- Measurements are given: the total height of the block is 10 cm, with 1.75 cm of the block submerged below the oil-water interface into the water.

This setup illustrates the principles of buoyancy and fluid pressure, where the pressure at various depths and the density of the immersed object can be analyzed to understand its floating behavior.

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