If a swimming pool is filled with mercury instead of water, what is the gauge pressure at the bottom of the pool, in atm, if the depth of the mercury in the pool is 5.5 m? The density of mercury is 13.6 x 103 kg/m3.

If a swimming pool is filled with mercury instead of water, what is the gauge pressure at the bottom of the pool, in atm, if the depth of the mercury in the pool is 5.5 m? The density of mercury is 13.6 x 103 kg/m3.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section15.2: Variation Of Pressure With Depth

Problem 15.2QQ

See similar textbooks

Related questions

Q: The Aswan High Dam on the Nile River in Egypt is 111 m high. What is the gauge pressure in the water…

Q: What depth of glycerin (in m) creates a pressure of 1.28 atm? Density of glycerin is 1260 kg/m3

Q: As the depth in a fluid increases, the pressure increases due to the larger weight of the column of…

Q: If the buoyant force was found to be 1.0 N on the submerged cylinder. What is the volume of the…

Q: The pressure exerted by a phonograph needle on a record is surprisingly large. If the equivalent of…

A: Given: Mass (m) = 0.6 g. = 0.6×10-3 kg Radius (r) = 0.24 mm. = 0.24×10-3 m.

Q: A glass tube contains mercury. What would be the height of the column of mercury which would create…

Q: The pressure exerted by a phonograph needle on a record is surprisingly large. If the equivalent of…

A: Given: m = 1 g = 0.001 kg r = 0.2 mm = 0.2 x 10-3 m

Q: Blood plasma (at 37.0°C) is to be supplied to a patient at the rate of 2.80 × 10−6 m3/s. If the tube…

Q: Early barometers contained wine instead of mercury. On a day when the height h of the liquid in the…

A: The height of mercury h=750 mm=0.750 m Density of mercury ρm=13600 kg/m3 The pressure corresponds to…

Q: Water has a density that is 13.6 times less than that of mercury. If an undersea vessel descends to…

A: Ans:- Image-1

Q: The lower half of a 10-m high cylindrical container is filled with water and the upper half with oil…

Q: Blood plasma (at 37.0°C) is to be supplied to a patient at the rate of 2.80 × 10−6 m3/s. If the tube…

A: Pressure difference between plasma and the patient's vein can be calculate using Poiseuille's…

Q: The radius of the small piston is 5 cm, where the radius of the large piston is 30 cm .if a force of…

Q: A submarine dives to a depth of 50.0 m under water. Given a density of sea water of 1,020 kg/m3,…

Q: Point A is 53 cm below the free surface of the liquid, density = 0.750 g/cm3.What will be the…

Q: Mercury is added to a cylindrical container to a depth d and then the rest of the cylinder is filled…

A: Given- Pressure at bottom of container , P =1.4 atm =1.4 x 101325 Pa =141855 Pa Density of mercury…

Q: Given that the weight density of water is 9810 N/m³ , the fluid pressure on a rectangular 2 m × 3 m…

A: The pressure inside a fluid at Depth h is, P=ρgh Here, ρ is density of fluid. The density of water…

Q: At what depth(in meters)in seawater is the gauge pressure 1.00 x 105 Pa? (density of seawater=…

A: As given. The gauge pressure is 1.0*10⁵ pa. The gorge pressure defined as the ( total pressure -…

Q: A submarine dives to a depth of 50.0 m under water. Given a density of sea water of 1,020 kg/m3,…

A: Given : density of sea water, ρ = 1,020 kg/m3 depth of submarine, d = 50.0 m pressure…

Q: How much of an object's height must be submerged in water for the absolute pressure at the bottom of…

A: Given density of water is 1000kg/m^3 and also the Pressure on the object is 1.44 atm We know that…

Q: A solid cube 25.0 cm on each side is immersed in a fluid. The pressure at the top surface of the box…

Q: A solid bowling ball of radius 0.14 m is fully submerged in water. What is the buoyant force acting…

A: Given: The radius of the solid bowling is 0.14 m.

Q: An open-tube manometer is used to measure the pressure in an oxygen tank. when the atmospherric…

Q: A cubical box 25.0 cm on each side is immersed in a fluid. The pressure at the top surface of the…

A: Given that the value of pressure at the top surface of the box and also given the pressure at the…

Q: A U-tube differential manometer is connected to two pipes at A and B. Pipe A Contains oil of…

A: Let the manometric fluid be mercury.

Q: What is the pressure on the sea bottom at a depth of 7500m? The specific gravity of the sea water is…

A: Given data: Depth (h) = 7500 m Specific gravity (SG) = 1.05 Required: The pressure on the sea…

Q: The pressure in a horizontal pipe is 2.02x105 Pa, and the speed of the water flowing in it is 0.40…

Q: and a 5.15 m diameter. It is filled with water to a depth of 0.738 m. There is 0.893 atm of pressure…

Q: The pressure exerted by a phonograph needle on a record is surprisingly large. If the equivalent of…

Q: To suck lemonade of density 1000 kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge…

Q: What is the pressure on a fish 16.0 m under the ocean surface? (Density of ocean water = 1025…

A: We know, P=Pair+ρgd

Q: A cubical block of wood 1010 cmcm on a side, floats at the interface between oil and water with its…

Q: If the relative density of gasoline is 0.70, determine the pressure in the gasoline storage tank…

Q: You come across an open container that is filled with two liquids. Since the two liquids have…

A: Pressure is the result of a force acting upon a certain area. Pressure at the bottom of the…

Q: A submarine dives to a depth of 50.0 m under water. Given a density of sea water of 1,020 kg/m3,…

A: It is given that

Q: A cylinder contains a fluid at a gauge pressure of 350 kN m–2. Express this pressure in terms of a…

A: Pressure be defined as 350 kN.m-2. From the expression of pressure, the head be defined as,…

Q: What is the density of water at a depth where pressure is 70.0 atm, given that its density at the…

A: Let the pressure at the given depth h beneath the water surface be denoted as P. Let the density of…

Q: The gauge pressure in a balloon in measured by means of an open-tube manometer that uses water…

Q: A platinum sphere with radius 0.0179 m is totally immersed in mercury. Find the weight of the…

A: Given data: Radius of the sphere, r=0.0179 m Density of platinum, ρp=2.14×104 kg/m3 Density of…

Q: Consider a soap bubble 0.115 m in diameter, with a surface tension of 0.0370 N/m. What is the gauge…

A: Given, diameter of bubble, d = 0.115 m surface tension of soap bubble, T = 0.0370 Nm

Q: Calculate the absolute pressure at an ocean depth of 70 m. Assume the density of sea water is 1 020…

A: a) The expression for find absolute pressure is P=P0+ρgh Substitute values in the above equation…

Q: Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.2 m. Assume the…

Q: A diver sits on the bottom of a swimming pool, 4 meters under the surface of the fresh water (…

A: Given information:The depth at which the diver is sitting (h) = 4 mThe density of the water (ρ) =…

Q: A cylinder contains a fluid at a gauge pressure of 350 kN m^–2. Express this pressure in termsof a…

A: Gauge Pressure for a fluid is difference between absolute pressure and atmospheric pressure.…

Q: What is the absolute pressure of the rubber tire if its gauge pressure is 0.4 atm?

A: Here given the guage pressure of the rubber tyre is 0.4 atm. We have to calculate the absolute…

Q: At a given instant, the blood pressure in the heart is 16.0 kPa. If an artery in the brain is 0.40 m…

A: Given that, the blood pressure in the heart is 16kPa.

Question

I need help

If a swimming pool is filled with mercury instead of water, what is the gauge pressure at the bottom
of the pool, in atm, if the depth of the mercury in the pool is 5.5 m? The density of mercury is 13.6
x 103 kg/m3.
7.3
O 5.5
O 8.8
O 4.4
O 3.3

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 Given

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

(a) Calculate the absolute pressure at an ocean depth of 1 000 m. Assume the density of seawater is 1 030 kg/m3 and the air above exerts a pressure of 101.3 kPa. (b) At this depth, what is the buoyant force on a spherical submarine having a diameter of 5.00 m?
A tank with a flat bottom of area A and vertical sides is filled to a depth h with water. The pressure is P0 at the top surface. (a) What is the absolute pressure at the bottom of the tank? (b) Suppose an object of mass M and density less than the density of water is placed into the tank and floats. No water overflows. What is the resulting increase in pressure at the bottom of the tank?
A hollow copper (Cu = 8.92 103 kg/m3) spherical shell of mass m = 0.950 kg floats on water with its entire volume below the surface. a. What is the radius of the sphere? b. What is the thickness of the shell wall?
You are pumping up a bicycle tire with a hand pump, the piston of which has a 2.00-cm radius. (a) What force in newtons must you exert to create a pressure of 6.90105 Pa (b) What is unreasonable about this (a) result? (c) Which premises are unreasonable or inconsistent?
Liquid toxic waste with a density of 1752 kg/m3 is flowing through a section of pipe with a radius of 0.312 m at a velocity of 1.64 m/s. a. What is the velocity of the waste after it goes through a constriction and enters a second section of pipe with a radius of 0.222 m? b. If the waste is under a pressure of 850,000 Pa in the first section of pipe, what is the pressure in the second (constricted) section of pipe?
A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? (c) Why does the radius of the balloon tend to increase as it rises to higher altitude?
An 81.5kg man stands on a horizontal surface. (a) What is the volume of the mans body if his average density is 985 kg/m3? (b) What average pressure from his weight is exerted on the horizontal surface. If the mans two feet have a combined area of 4.50 109 m3?
A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? (c) Why does the radius of the balloon tend to increase as it rises to higher altitude?
A spherical submersible 2.00 m in radius, armed with multiple cameras, descends under water in a region of the Atlantic Ocean known for shipwrecks and finds its first shipwreck at a depth of 1.75 103 m. Seawater has density 1.03 103 kg/m3, and the air pressure at the oceans surface is 1.013 105 Pa. a. What is the absolute pressure at the depth of the shipwreck? b. What is the buoyant force on the submersible at the depth of the shipwreck?
A manometer is shown in Figure P15.36. Rank the pressures at the five locations indicated from highest to lowest. Indicate equal pressures, if any. FIGURE P15.36
The human brain and spinal cord are immersed in the cerebrospinal fluid. The fluid is normally continuous between the cranial and spinal cavities and exerts a pressure of 100 to 200 mm of H2O above the prevailing atmospheric pressure. In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height lo which the fluid rises is observed, as shown in Figure P9.83. If the fluid ruses to a height of 160. mm, we write its gauge pressure as 160. mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury. (b) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is blocking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions ran be investigated by means of the Queckensted test. In this procedure, the veins in the patients neck are compressed lo make the blood pressure rise in the brain. The increase in pressure in the blood vessels is transmitted to the cerebrospinal fluid. What should be the normal effect on the height of the fluid in the spinal tap? (c) Suppose compressing the veins had no effect on the level of the fluid. What might account for this phenomenon?
If your body has a density of 995 kg/m3, what fraction of you will be submerged when floating gently in: (a) Freshwater? (b) Salt water, which has a density of 1027 kg/m3?