### Problems 1. A 80 cm tall cylinder is filled with water (\(\rho_{\text{water}} = 1000 \, \text{kg/m}^3\)) and oil (\(\rho_{\text{oil}} = 600 \, \text{kg/m}^3\)) and is capped on the bottom so no fluid is flowing. It contains equal amounts of the two fluids **by weight**. What is the pressure at the bottom of the cup? 2. An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly. (a) What is the speed of the water leaving the hose? (b) What is the gauge pressure in the hose at point A? #### Diagram Explanation - The diagram shows a rectangular pool with water up to 1.25 m depth. - A hose originates from the bottom of the pool, curves over the edge of the pool wall, and extends downward. - The hose is labeled with a red section where the water leaves, noted as point A. The diagram helps illustrate the path of the water as it drains from the pool through the hose, highlighting the geometric details pertinent to the problem.
### Problems 1. A 80 cm tall cylinder is filled with water (\(\rho_{\text{water}} = 1000 \, \text{kg/m}^3\)) and oil (\(\rho_{\text{oil}} = 600 \, \text{kg/m}^3\)) and is capped on the bottom so no fluid is flowing. It contains equal amounts of the two fluids **by weight**. What is the pressure at the bottom of the cup? 2. An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly. (a) What is the speed of the water leaving the hose? (b) What is the gauge pressure in the hose at point A? #### Diagram Explanation - The diagram shows a rectangular pool with water up to 1.25 m depth. - A hose originates from the bottom of the pool, curves over the edge of the pool wall, and extends downward. - The hose is labeled with a red section where the water leaves, noted as point A. The diagram helps illustrate the path of the water as it drains from the pool through the hose, highlighting the geometric details pertinent to the problem.
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)...
Related questions
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
Transcribed Image Text:### Problems
1. A 80 cm tall cylinder is filled with water (\(\rho_{\text{water}} = 1000 \, \text{kg/m}^3\)) and oil (\(\rho_{\text{oil}} = 600 \, \text{kg/m}^3\)) and is capped on the bottom so no fluid is flowing. It contains equal amounts of the two fluids **by weight**. What is the pressure at the bottom of the cup?
2. An above ground pool is being drained using a single hose as shown in the picture below. The hose has a circular cross-section with a diameter of 3.5 cm and runs from the bottom of the pool, up over the side of the pool, and extends 1.0 m below the pool where water is leaving the hose. The pool wall is 1.5 m tall and the pool is currently filled to a depth of 1.25 m. Assume the pool is much larger than the hose so that the depth of the pool changes very slowly.
(a) What is the speed of the water leaving the hose?
(b) What is the gauge pressure in the hose at point A?
#### Diagram Explanation
- The diagram shows a rectangular pool with water up to 1.25 m depth.
- A hose originates from the bottom of the pool, curves over the edge of the pool wall, and extends downward.
- The hose is labeled with a red section where the water leaves, noted as point A.
The diagram helps illustrate the path of the water as it drains from the pool through the hose, highlighting the geometric details pertinent to the problem.
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!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON