### Problem StatementA 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.##### Questions:(A) What is the gauge pressure at the upper face of the block?(B) What is the gauge pressure at the lower face of the block?### Diagram ExplanationThe accompanying diagram shows a container with oil on top and water at the bottom. A cubical block of wood is placed such that it floats, with part of it submerged in oil and a part submerged in water. The block is 10.0 cm tall. The interface between the oil and water is clearly marked. The lower surface of the wood is shown to be 1.75 cm below this oil-water interface.### Calculation StepsIn order to solve the given problem, we need to follow these steps:1. **Identify the pressurized points**: - The upper face of the wood block - The lower face of the wood block2. **Calculate the pressure exerted by the oil column on the upper face of the wood block**: - **Height of oil column above the upper face of the block**: This would be the total height the wood is submerged in oil. 3. **Calculate the pressure at the lower face**: - **Gauge pressure at lower face**: Sum of the pressure contributions of both the oil column and the water column.Parameters to use:- Density of oil: \(\rho_{oil} = 790 \; \text{kg/m}^3\)- Gravitational acceleration: \(g \approx 9.81 \; \text{m/s}^2\)- Height or thickness of oil above upper face: \(h = 10.0 \; \text{cm} - 1.75 \; \text{cm} = 8.25 \; \text{cm}\)- Depth of lower face below the interface: \(1.75 \; \text{cm} + 10.0 \; \text{cm} = 11.75 \; \text{cm}\)This approach ensures a step-by-step thorough understanding, aiding students in grasping the concepts related to buoyancy and pressure in fluids.

Name: ### Problem StatementA cubical block of wood, 10.0 cm on a side, floa
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: ### Problem StatementA 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.##### Questions:(A) What is the gauge pressure at the

Answered: Image /qna-images/answer/b65490c5-6154-45be-884a-22766e1365a6.jpg

Science

Physics

A cubical block of wood, 10.0 cm on a side, flaats at the inter face between oil and woter with its lower surface 1,75 cm below 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 quage pressure at the lower face of the block? Oil 10.0 Wood cm 10.0 Water cm

A cubical block of wood, 10.0 cm on a side, flaats at the inter face between oil and woter with its lower surface 1,75 cm below 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 quage pressure at the lower face of the block? Oil 10.0 Wood cm 10.0 Water cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose the aqueous humor in a person’s eye exerts a force of 0.31 N on the 1.05-cm2 area of the…

A: Suppose the aqueous humor in a person’s eye exerts a force of 0.31 N on the 1.05-cm2 area of the…

Q: Calculate the average pressure exerted on the palm of a shot-putter's hand by the shot if the area…

A: Given data: Area of contact, A=50.0 cm2=50×10-4m2 Force exerted, F=800 N

Q: A swimming pool with a width of 15.0 m and a length of 20.0 m is filled with water. the total force,…

A: Given Data: Width of the pool is, w = 15 m. Length of the pool is, l = 20 m. Total force exerted on…

Q: In the figure, an open tank contains a layer of oil floating on top of a layer of water (of density…

Q: A tank with a flat bottom of area A and vertical sides is filled to a depth A with water. The…

A: pressure on the top= Po pressure at the bottom= Po+ pressure due to volume of water filled in the…

Q: mh.3

A: The objective of the question is to calculate the pressure at a certain depth in the ocean. The…

Q: The deepest point in the ocean is in the Mariana Trench,about 11 km deep. The pressure at the ocean…

Q: As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes.…

Q: What is the fluid density of the unknown liquid if the pressure is 312.202 kPa, height is 2m below…

Q: A container is filed to a depth of 16.0 cm with water. On top of the water floats a 34.0-cm-thick…

Q: A submarine is at a depth such that the water pressure is 200 kPa greater than the air pressure…

Q: crown weighs 25N. You then put it in a cylinderical container of water with a radius of 8 cm, and…

A: Given:- The weight of the crown W = 25 N The Density of the Gold ρ = 9300 kg/m3. The cylindrical…

Q: You design a diving helmet to withstand the pressure of seawater to a depth of 250 m. ρseawater =…

Q: Diagram 2 shows a graph of relationship between 9. pressure, P and volume, V. Rajah 2 menunjukkam…

Q: A container is filled to a depth of 16.0 cm with water. On top of the water floats a 34.0-cm-thick…

Q: One way to force air into an unconscious person’s lungs is to squeeze on a balloon appropriately…

A: Given Data : The height of the water is given as h = 68 cm. The effective area of the balloon is…

Q: The radius of as pnere of lead (B-4.2x101oNIm?)s lo00m ho a depth Of 1.10 X 104m wnere itis expused…

A: Given that:- Bulk modulus of lead=4.2×10^10 N/m^2

Q: When the initial height of the pipe is 10 m and final height to 3 m, what is the final pressure of…

A: Using Bernoulli’s principle, P1+ρgh1=P2+ρgh2 Here, P1 is the initial pressure. P2 is the final…

Q: The cross-xectional area of a small pipe at point A is 6 cm2 and at another point B is 2 cm2. If the…

A: Given, Cross-sectional Area at point "A" (AA)=6 cm2 Cross-sectional Area at point "B" (AB)=2 cm2…

Q: A cylinder swimming has a radius 2m and depth 1.3m. It is filled with salt water of specific gravity…

A: Given:- pool depth h = 1.3 m specific gravity ofsalt water s = 1.03…

Q: Problem 3: Suppose the aqueous humor in a person's eye exerts a force of 0.28 N on the 1.35-cm² area…

Q: The star Sirius has a mass of 1 M⨀ and a radius of 0.01 R⨀. Find its density and mean pressure…

A: Given: Mass of Sirius = 1 solar mass Radius of Sirius = 0.01 solar radius

Q: What is the net force Fret on an airplane window of area 1400 cm2 if the pressure inside the cabin…

Q: A tall glass cylinder is filled with a layer of water 18.0 cm deep, and floating on top of the…

Q: You can chew through very tough objects with your incisors because they exert a large force on the…

A: The area of the tooth, A=1.00 mm210-6 m21.0 mm2=1.00×10-6 m2 The exerting force, F=500 N

Q: Scientist found evidence that mars may once have had an ocean that is 0.500 km deep. The…

A: The given values in the problem is: Height is h=0.500 km Acceleration due to gravity is g=3.71 m/s2…

Q: b) Water flows steadily along a horizontal tube of cross-sectional area 25em2. The static pressure…

A: For a steadily flowing liquid through a pipe, the total pressure is given by, Ptotal=Pstatic+12ρv2…

Q: During forced exhalation, such as when blowing up a balloon, the diaphragm and chest muscles create…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Water pressure acting on a sunk plane at depth is 4x10⁶. What is the magnitude of the force that…

A: Given:- The sunk plane at the depth of d = 4x10⁶ the door with an area of .78m² Find:- Force…

Q: One way to force air into an unconscious person's lungs is to squeeze on a balloon appropriately…

Q: When one end of the capillary is dipped in water, the height of water column is 'h'. The upward…

A: We need to compute-Inner circumference of capillary=?The data given is-Upward force(F)=105…

Q: Water has a density of 1000 kgm/m^3 and seawater has SG of 1.024 and gravitational acceleration at…

Q: Determine the absolute pressure exerted by the sea water in kPa on the body of the diver if he…

Q: At a depth of 1000 m in an ocean (a) what is the absolute pressure? (b) What is the gauge pressure?…

A: Given value--- height = 1000 m. We have to find--- (a) what is the absolute pressure? (b) What…

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.

Topic Video

Question

### Problem Statement

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.

##### Questions:
(A) What is the gauge pressure at the upper face of the block?
(B) What is the gauge pressure at the lower face of the block?

### Diagram Explanation

The accompanying diagram shows a container with oil on top and water at the bottom. A cubical block of wood is placed such that it floats, with part of it submerged in oil and a part submerged in water. The block is 10.0 cm tall. The interface between the oil and water is clearly marked. The lower surface of the wood is shown to be 1.75 cm below this oil-water interface.

### Calculation Steps

In order to solve the given problem, we need to follow these steps:

1. **Identify the pressurized points**:
- The upper face of the wood block
- The lower face of the wood block

2. **Calculate the pressure exerted by the oil column on the upper face of the wood block**:
- **Height of oil column above the upper face of the block**: This would be the total height the wood is submerged in oil.

3. **Calculate the pressure at the lower face**:
- **Gauge pressure at lower face**: Sum of the pressure contributions of both the oil column and the water column.

Parameters to use:
- Density of oil: \(\rho_{oil} = 790 \; \text{kg/m}^3\)
- Gravitational acceleration: \(g \approx 9.81 \; \text{m/s}^2\)
- Height or thickness of oil above upper face: \(h = 10.0 \; \text{cm} - 1.75 \; \text{cm} = 8.25 \; \text{cm}\)
- Depth of lower face below the interface: \(1.75 \; \text{cm} + 10.0 \; \text{cm} = 11.75 \; \text{cm}\)

This approach ensures a step-by-step thorough understanding, aiding students in grasping the concepts related to buoyancy and pressure in fluids.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Hi, I only need help with PART B of this problem. The pressure at the bottom of a cylindrical container with a cross-sectional area of 47.5 cm2 and holding a fluid of density 460 kg/m3 is 115 kPa. (a) Determine the depth of the fluid. (SOLVED - 3 m) (b) Determine the pressure at the bottom of the container if an additional 2.80 10-3 m3 of this fluid is added to the container. (Give your answer to at least 3 significant figures.)
The aqueous humor in a person's eye is exerting a force of 0.135 N on the 1.27 cm2 area of the cornea. a. What pressure is this in mm Hg?
Consider the following. (a) Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 29.9 m. Assume the density of the water is 1.00 x 103 kg/m3 and the air above is at a pressure of 101.3 КРа. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 31.2 cm? Need Help? Read It
Q 14) The pressure in the spinal fluid in the body is mea sured in the manner shown in the figure below. If the pressure of the s pinal fluid is (a) (10 mmHg), what is the reading of the water pressure gauge in units of (em water) if the person's position is in the form of the jurist (b) what is the The eading of the scale if the pers on stands, place the upper part of the ton gue at a height (60 cm) a bove the point K) knowing that the density of the spinal fluid is 105 g/ml, the water is 1.0 g/ml, themed ullary is 13.5 g/ml, and the acceleration is 9.81 m/ s2. P= 10 mm Hg, ? cm H0 (a) 13.6cm (b) 76.6cm O (a) 1.36cm (b) 76.6cm O (a) 13.6cm (b) 7.66cm O (a) 1.36cm (b) 7.66cm
A big rectangular board has 2m length, 2.5m width, and a Im height with a density of 600kg/m^3. la) Determine whether the block floats in water, and (b) if so, how much of the block is above the surface in meters.
Mehul
QI\ A ball made of INOX AISI 365 steel with density of 8.52 gr/cm3 was used to determine the viscosity of oil with specific gravity of 0.91. In the viscometer, the ball traveled 19 cm in 2.2 seconds. If the diameter of the ball is 2.95 mm, what is the viscosity of the oil in pa.s ? assume that water density is 1000 kg/m'.
A salty lake has a relative density of 1.10 .(b) Determine the total pressure at a depth of 7.7 m below the surface.(c) Mercury has a relative density of 13.53 . Calculate the depth of mercury corresponding to the total pressure in part (b).
At a certain ocean depth, the pressure is 1.38x10 Pa. Calculate the change in volume of 1.00 m of seawater carried from the surface to this deepest point. The compressibilityk of water is 45.8x10 11 Pa1. Final answer in three decimal places.
What is the value of pressure inside the bubble of radius 1cm, if the bubble is in water at a depth (H) of 1m? Assume atmospheric pressure to be 1atm, surface tension = 0.075N/m & density of water = 1000kg/m3. a) 110015 Pa b) 109985 Pa c) 26 atm d) 4 atm