College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 9, Problem 47P

Old Faithful geyser in Yellowstone Park erupts at approximately 1-hour intervals, and the height of the fountain reaches 40.0 m (Fig. P9.47). (a) Consider the rising stream as a series of separate drops. Analyze the free-fall motion of one of the drops to determine the speed at which the water leaves the ground. (b) Treat the rising stream as an ideal fluid in streamline flow. Use Bernoulli’s equation to determine the speed of the water as it leaves ground level. (c) What is the pressure (above atmospheric pressure) in the heated underground chamber 175 m below the vent? You may assume the chamber is large compared with the geyser vent.

(a)

Expert Solution
Check Mark
To determine
The speed at which the water leaves the ground.

Answer to Problem 47P

The speed at which the water leaves the ground is 28.0m/s .

Explanation of Solution

When one of the drop reaches the maximum height, its speed would be vy2=0=v0y2+2ay(Δy)v0y=2ay(Δy) .

Given info: The deceleration of the water drop is 9.80m/s2 and the height of the fountain is 40.0m .

The formula for the speed of the water drop is,

v0y=2(9.80m/s2)(40.0m)=28.0m/s

Thus, the speed at which the water leaves the ground is 28.0m/s .

Conclusion:

Therefore, the speed at which the water leaves the ground is 28.0m/s .

(b)

Expert Solution
Check Mark
To determine
The speed of the speed of the water as it leaves ground level.

Answer to Problem 47P

The speed of the speed of the water as it leaves ground level is 28.0m/s .

Explanation of Solution

By treating this as an ideal fluid in stream line flow using Bernoulli’s equation, the speed of the water is (1/2)ρvgeyser2=0+ρg(ytopyvent) and vgeyser=2g(ytopyvent) .

Given info: Acceleration due to gravity is 9.80m/s2 and the height of the fountain is 40.0m .

The formula for the speed of geyser is,

vgeyser=2g(ytopyvent)

  • g is acceleration due to gravity.
  • (ytopyvent) is height of the fountain.

Substitute 9.80m/s2 for g and 40.0m for (ytopyvent) to find vgeyser .

vgeyser=2(9.80m/s2)(40.0m)=28.0m/s2

Thus, the speed of the speed of the water as it leaves ground level is 28.0m/s

Conclusion:

Therefore, the speed of the speed of the water as it leaves ground level is 28.0m/s

(c)

Expert Solution
Check Mark
To determine
The pressure in the heated underground chamber 175 m below the vent.

Answer to Problem 47P

The pressure in the heated underground chamber 175 m below the vent is 2.11MPa .

Explanation of Solution

Bernoulli’s equation between the chamber and the geyser vent by considering vchamber0 gives P+0+ρgychamber=Patm+(1/2)ρvvent2+ρgyvent and the pressure difference is PPatm=ρ[(1/2)vvent2+g(yventychamber)] . This measurement represents the gauge pressure.

Given info: Density of water is 1.00kg/m3 , speed of vent is 28.0m/s , acceleration due to gravity is 9.80m/s2 , and the distance of the underground chamber is 175m .

The formula for the pressure in the heated underground chamber is,

PPatm=ρ[(1/2)vvent2+g(yventychamber)]

  • ρ is density of geyser.
  • vvent is speed of vent.
  • g is acceleration due to gravity.
  • yventychamber is the distance of underground chamber.

Substitute 1.00kg/m3 for ρ , 28.0m/s for vvent , 9.80m/s2 for g , and 175m for yventychamber to find PPatm .

PPatm=(1.00kg/m3)[(1/2)(28.0m/s)2+(9.80m/s2)(175m)]=2.11MPa

Thus, the pressure in the heated underground chamber 175 m below the vent is 2.11MPa .

Conclusion:

Therefore, the pressure in the heated underground chamber 175 m below the vent is 2.11MPa .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
a cubic foot of argon at 20 degrees celsius is isentropically compressed from 1 atm to 425 KPa. What is the new temperature and density?
Calculate the variance of the calculated accelerations. The free fall height was 1753 mm. The measured release and catch times were:  222.22 800.00 61.11 641.67 0.00 588.89 11.11 588.89 8.33 588.89 11.11 588.89 5.56 586.11 2.78 583.33   Give in the answer window the calculated repeated experiment variance in m/s2.
No chatgpt pls will upvote

Chapter 9 Solutions

College Physics

Ch. 9 - Figure CQ9.4 shows aerial views from directly...Ch. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Water flows along a streamline down a river of...Ch. 9 - During inhalation, the pressure in the lungs is...Ch. 9 - The water supply for a city is often provided from...Ch. 9 - An ice cube is placed in a glass of water. What...Ch. 9 - Prob. 11CQCh. 9 - Will an ice cube float higher in water or in an...Ch. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - A person in a boat floating in a small pond throws...Ch. 9 - One of the predicted problems due to global...Ch. 9 - An 81.5kg man stands on a horizontal surface. (a)...Ch. 9 - The weight of Earths atmosphere exerts an average...Ch. 9 - Calculate the mass of a solid gold rectangular bar...Ch. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Suppose a distant world with surface gravity of...Ch. 9 - Prob. 8PCh. 9 - (a) Calculate the absolute pressure at the bottom...Ch. 9 - Mercury is poured into a U-tube as shown in Figure...Ch. 9 - A collapsible plastic bag (Fig. F9.11) contains a...Ch. 9 - A hydraulic jack has an input piston of area 0.050...Ch. 9 - A container is filled to a depth of 20.0 cm with...Ch. 9 - Blaise Pascal duplicated Torricellis barometer...Ch. 9 - A sphygmomanometer is a device used to measure...Ch. 9 - Piston in Figure P9.16 has a diameter of 0.25...Ch. 9 - Buoyant Forces and Archimedes Principle A...Ch. 9 - Prob. 18PCh. 9 - A small ferryboat is 4.00 m wide and 6.00 m long....Ch. 9 - A 62.0-kg survivor of a cruise line disaster rests...Ch. 9 - A hot-air balloon consists of a basket banging...Ch. 9 - A large balloon of mass 226 kg is filled with...Ch. 9 - A spherical weather balloon is filled with...Ch. 9 - The average human has a density of 945 kg/m3 after...Ch. 9 - On October 21, 2001, Ian Ashpole of the United...Ch. 9 - The gravitational force exerted on a solid object...Ch. 9 - A cube of wood having an edge dimension of 20.0 cm...Ch. 9 - A light spring of force constant k = 160 N/m rests...Ch. 9 - A sample of an unknown material appears to weigh...Ch. 9 - An object weighing 300 N in air is immersed in...Ch. 9 - A 1.00-kg beaker containing 2.00 kg of oil...Ch. 9 - A horizontal pipe narrows from a radius of 0.250 m...Ch. 9 - A large water tank is 3.00 m high and filled lo...Ch. 9 - Wafer flowing through a garden hose of diameter...Ch. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - A hypodermic syringe contain a medicine with the...Ch. 9 - When a person inhales, air moves down the bronchus...Ch. 9 - A jet airplane in level flight has a mass of 8.66 ...Ch. 9 - A man attaches a divider to an outdoor faucet so...Ch. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - A jet of water squirts out horizontally from a...Ch. 9 - A large storage tank, open to the atmosphere at...Ch. 9 - The inside diameters of the larger portions of the...Ch. 9 - Water is pumped through a pipe of diameter 15.0 cm...Ch. 9 - Old Faithful geyser in Yellowstone Park erupts at...Ch. 9 - The Venturi tube shown in Figure P9.48 may be used...Ch. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - A certain fluid has a density of 1.080 kg/m3 and...Ch. 9 - Whole blood has a surface tension of 0.058 N/m and...Ch. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Spherical panicles of a protein of density 1.8...Ch. 9 - A hypodermic needle is 3.0 era in length and 0.30...Ch. 9 - Prob. 59PCh. 9 - The aorta in humans has a diameter of about 2.0...Ch. 9 - Prob. 61PCh. 9 - Glycerin in water diffuses along a horizontal...Ch. 9 - Prob. 63PCh. 9 - Small spheres of diameter 1.00 mm fall through 20C...Ch. 9 - The Deformation of Solids 65. A 200.-kg load is...Ch. 9 - A 25.0-m long steel cable with a cross-sectional...Ch. 9 - A plank 2.00 cm thick and 15.0 cm wide is firmly...Ch. 9 - Artificial diamonds can be made using...Ch. 9 - For safety in climbing, a mountaineer uses a nylon...Ch. 9 - Assume that if the shear stress in steel exceeds...Ch. 9 - Bone has a Youngs modulus of 18 109 Pa. Under...Ch. 9 - A stainless-steel orthodontic: wire is applied to...Ch. 9 - A high-speed lifting mechanism supports an 800.-kg...Ch. 9 - The deepest point in the ocean is in the Mariana...Ch. 9 - Prob. 75PCh. 9 - The total cross-sectional area of the load-bearing...Ch. 9 - An iron block of volume 0.20 m5 is suspended from...Ch. 9 - Prob. 78APCh. 9 - In most species of clingfish (family...Ch. 9 - Prob. 80APCh. 9 - Prob. 81APCh. 9 - Superman attempts to drink water through a very...Ch. 9 - The human brain and spinal cord are immersed in...Ch. 9 - A Hydrometer is an instrument used to determine...Ch. 9 - Prob. 85APCh. 9 - A helium-filled balloon, whose envelope has a mass...Ch. 9 - A light spring of constant A = 90.0 N/m is...Ch. 9 - A U-tube open at both ends is partially filled...Ch. 9 - In about 1657. Otto von Guericke, inventor of the...Ch. 9 - Oil having a density of 930 kg/m3 floats on water....Ch. 9 - Prob. 91AP
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Fluids in Motion: Crash Course Physics #15; Author: Crash Course;https://www.youtube.com/watch?v=fJefjG3xhW0;License: Standard YouTube License, CC-BY