Often when salty sea water meets a source of fresh water they do not readily mix. The salt water is slightly more dense than fresh water and thus sinks below the fresh water. A cork of density ρc is tied to the sea floor at a depth dS below the divide between the salty and fresh water layers. This divide is located a depth dF below the surface. Let the density of the salt and freshwater be ρS and ρF, respectively. Use gauge pressure throughout. a) What is the pressure at the location of the cork? b) What is the tension in the rope? c) A diver decides to cut the rope tethering the cork. How long does it take for the cork to reach the surface?

Often when salty sea water meets a source of fresh water they do not readily mix. The salt water is slightly more dense than fresh water and thus sinks below the fresh water. A cork of density ρc is tied to the sea floor at a depth dS below the divide between the salty and fresh water layers. This divide is located a depth dF below the surface. Let the density of the salt and freshwater be ρS and ρF, respectively. Use gauge pressure throughout. a) What is the pressure at the location of the cork? b) What is the tension in the rope? c) A diver decides to cut the rope tethering the cork. How long does it take for the cork to reach the surface?

Related questions

Q: A reservoir has a shape that is approximately rectangular. It is being held by a dam that is 525…

A: Given value--- breadth = 525 m. length = 12700 m. height = 84 m. We have to find--- What is the…

Q: A U-tube contains liquid of unknown density. An oil of density 830 kg/m3 is poured into one arm of…

A: Given that:- Density of oil=830kg/m^3

Q: 1000kg/m is flowing through a pipe that has an area of 0.5m2 with a velocity of 1 m/s at position A.…

Q: Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of…

A: A Given Speed of the upper surface v1=127m/s Speed of the bottom surface v2=104m/s The density of…

Q: Airplanes are able to fly by utilizing Bernoulli's principle. The shape of an airplane's wing is…

A: The Bernoulli principle is just conservation of energy when applied to fluid dynamics. It states…

Q: Calculate the difference in blood pressure between the feet and top of the head for a person who is…

Q: 1. Suppose a person is 182 cm tall. A typical blood pressure is often given as 110/70 mm Hg, with a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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

A: The objective of this question is to calculate the pressure exerted on the floor by the heel of a…

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

Q: A liquid is flowing through a horizontal pipe whose radius is 0.0224 m. The pipe bends straight…

A: Given: Horizontal pipe radii, r1=0.0224 m Pipe bent height, h=8.8 m Another horizontal pipe radii,…

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

Q: The standard atmospheric pressure at sea level is P0 = 1.01 × 105 Pa. About how deep must you go…

A: Given : Po = 1.01 x 105 Pa P = 2Po Density (ρ) = 1,000 kg/m3

Q: Water is stored in a pressurised container at a height ??= 11.2 m. It then moves through a…

Q: A submarine is at a depth of 700 m under the water. What is the force on a circular hatch of 1.00 m…

A: Given that------ depth h = 700 m. Diameter of circular hatch d = 1 m. Question ? What is the…

Q: A glucose solution of viscosity 2.2 x 10 N•s/m² and density 1030 kg/m³ flows from an elevated open…

A: Given, Viscosity, μ=2.2×10-3 N.s/m2 Density, ρ=1030 kg/m3 Radius, r=0.2mm Length, l=3cm Pressure,…

Q: A trench in the Pacific Ocean is 59m deep. Assuming that sea water has an average density of…

A: depth (h) = 59 m density of sea water (d) = 1040 kgm3

Q: A traditional mercury barometer consists of a vertical tube that is open at the bottom and rests in…

Q: barometer

Q: Consider a submarine at a depth 100 m below the ocean water surface. The submarine has two side…

Q: Water flows with a constant speed through pipe of constant cross-sectional area in the ground floor…

A: Part a: The pressure difference between top (P1) and bottom (P2) is given in terms of density of…

Q: The picture shows a section of pipe within a closed system (not open at the ends). Water (density…

Q: 10: A person is diving in a lake in the depth of h = 9.5 m. The density of the water is ρ = 1.0…

Q: A pipe delivers water at a rate of 1.6 x 10-4 cubic meters of water per second. The pipe consists of…

Q: A dam retaining water is 660m wide. At its deepest, the water reaches a depth of 120m. What is the…

A: Height = 120 m density of water = 1000 kg/m3Using P = h * d * g where h is the depth d is the…

Q: The figure below shows a horizontal pipe with a varying cross section. A liquid with a density of…

A: Given: The density of liquid, ρ=1.65 gcm3=1.65 gcm3×10-3 kg1 g×1 cm3 10-6 m3=1650 kgm3 The…

Q: A new gel is being developed to use inside padding and helmets to cushion the body from impacts. The…

Q: At 20°C, the viscosity of water is 1.0x10-3 Pa-s and the viscosity of molasses is 51 Pa-s. Consider…

Q: :2. A plastic bag contains an IV solution with a density of 1.05 g/cm3. If the gauge pressure in the…

A: The given values are,

Q: Water enters a 4 cm diameter pipe at a pressure of 210 kPa and a velocity of 4 m/s. The pipe…

Q: The pressure inside an inflatable habitat on Mars is measured by a mercury manometer. The difference…

A: To solve this problem, we can use the principles of hydrostatic pressure in a fluid column. The…

Q: A horizontal pipe (Venturi Tube) 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in…

A: Given data The first diameter is d1=10.0 cm The second diameter is d2=5.00 cm The first pressure is…

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…

Question

a) What is the pressure at the location of the cork?

b) What is the tension in the rope?

c) A diver decides to cut the rope tethering the cork. How long does it take for the cork to reach the surface?

Fresh wates
pr
Salt water
Figure 2: Setup for question 2

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Water flows with a constant speed through a pipe of constant cross-sectional area in the ground floor (y1=0m) of a house. The pipe rises (y2=5.0m) to reach a shower head on the second floor. The pressure at ground level is 140kPa. a) what is the pressure at the shower head? b) what is the maximum height that water from the ground level could reach?
You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.200 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.
Fluids Q1
The air above an airplane wing moves faster than the air below it. A certain airplane wing has an area of 124m^2. The wind speed above the wing is 258m/s and below it is 220m/s. Assuming that the elevation and air density (1.23kg/m^3) are approximately the same at these two points, what is the pressure difference caused by the wind speeds? What is the lift force on the wing?
A 46kg woman wearing shoes with high heels has her weight resting only on an area of 5.5 x 10-³ m² per shoe. a) How much pressure acts on the woman's feet? (both feet!) ✓ ✓ ✓ b) If the woman stood flat footed without high heeled shoes, what affect would it have on the pressure she feels on her feet? Circle one of the following: ✓ a. Increase Pressure b. Decrease Pressure c. No Change in Pressure
Three solid objects are floating in a liquid, as in the drawing. They have different weights and volumes, but have the same thickness (the dimension perpendicular to the screen). Rank the objects according to their density, largest first. O A, C, B O A, B, C O B, A, C O B, C, A O C, A, B C
A horizontal water pipe is constricted and tapers to a smaller radius. The speed of the water as it passes through the constricted section will be greater. What about the pressure of the water flowing into this pipe? Answers: a) The water pressure will be the same in the widest section as in the narrowest of the pipe. b) The water pressure will be higher when it flows through the narrowest section of the pipe. c) The water pressure will be higher when it flows through the widest section of the pipe. d) There is no relationship between the velocity and the pressure of the water flowing inside the pipe.
1. Suppose a person is 182 cm tall. A typical blood pressure is often given as 110/70 mm Hg, with a mean pressure of 80 mm Hg. A. Do you think this is the gauge pressure or absolute pressure? Why? If the pressure at the top of the head is about 39 mm Hg, how far away is this person's head from the heart? Assume the density of blood is about 6% higher than that of water. t, What then would be the blood pressure.of this 6, person at their feet? b. Suppose this person suffers a puncture wound around the same height as the heart where the opening is about 3 mm in diameter. How far could blood shoot from their body assuming it comes out horizontally with 0 m/s initial horizontal velocity? %3D = 0.754 Since horizontal velocity is zero it will not go eny for than body Please explain the variábles used in the equation to solve for F= P.A in partad of this question. Comment > Thank yo!!
A person is laying flat on their stomach while tanning at the beach. What is the force on the person's back from the pressure of the atmosphere? Approximate the surface of the person's back as a 0.6 m x 0.5 m rectangle and recall that atmospheric pressure is Patm = 1.01 x 105 N/m2.
help A hypodermic needle is 3cm long and 0.3mm in diameter. Determine the excess pressure that is required along the needle for the water flow through the needle to be 1L / s. Consider u = 1,005x10 ^ -3 Pa.s