Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 15, Problem 50P
A balloon contains gas of density and is to lift a mass M, including the balloon but not the gas. Show that the minimum mass of gas required is mg = Mρg/(ρa − ρg), where ρa is the atmospheric density.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The atmospheric pressure on earth is 101kPa. The surface area of the earth is related to its mean radius r which has a value of 6400km. Calculate the mass of the earth’s atmosphere, assuming g does not vary with height above the Earth’s surface. Calculate the number of nitrogen and oxygen molecules present on this atmosphere (take note: molecules).
A mixture of water (density=1000
kg/m3) and vapor flowing with a
mass rate = 7 kg/sec in a pipe of
1000 m long and 50 mm diameter,
the gas fraction is 20%,then the
volumetric rate of the water is:
1
What is the gauge pressure of the gas in the
closed tube in the figure? (Take the
atmospheric pressure to be 760 mm Hg.)
200 тm Hg
Open to the
atmosphere
(a)
(b) —200 тт Hg
(c)
960 тm Hg
(d)
560 тm Hg
20 cm
Gas-
-Hg
(e) —960 тт Hg
Chapter 15 Solutions
Essential University Physics (3rd Edition)
Ch. 15.1 - What quantity of water has the same mass as 1 m3...Ch. 15.2 - Neglecting friction and other nonconservative...Ch. 15.3 - The density of a rubber ball is three-fifths that...Ch. 15.4 - The photo shows smoke particles tracing...Ch. 15.5 - A large tank is filled with liquid to the level h1...Ch. 15 - Why do your ears pop when you drive up a mountain?Ch. 15 - Commercial aircraft cabins are usually pressurized...Ch. 15 - Water pressure at the bottom of the ocean arises...Ch. 15 - The three containers in Fig. 15.22 are filled to...Ch. 15 - Why is it easier to float in the ocean than in...
Ch. 15 - Figure 15.23 shows a cork suspended from the...Ch. 15 - Meteorologists in the United States usually report...Ch. 15 - A mountain stream, frothy with entrained air...Ch. 15 - Why are dams thicker at the bottom than at the...Ch. 15 - Its not possible to breathe through a snorkel from...Ch. 15 - A helium-filled balloon stops rising long before...Ch. 15 - A barge filled with steel beams overturns in a...Ch. 15 - Why do airplanes take off into the wind?Ch. 15 - Is the flow speed behind a wind turbine greater or...Ch. 15 - The density of molasses is 1600kg/m3. Find the...Ch. 15 - Atomic nuclei have densities around 1017kg/m3,...Ch. 15 - Compressed air with mass 8.8 kg is stored in a...Ch. 15 - The pressure unit torr is defined as the pressure...Ch. 15 - Measurement of small pressure differencesfor...Ch. 15 - Whats the weight of a column of air with...Ch. 15 - A 4680-kg circus elephant balances on one foot. If...Ch. 15 - You unbend a paper clip made from 1.5-mm-diameter...Ch. 15 - Whats the density of a fluid whose pressure...Ch. 15 - A research submarine can withstand an external...Ch. 15 - Prob. 25ECh. 15 - A vertical tube open at the top contains 5.0 cm of...Ch. 15 - A child attempts to drink water through a...Ch. 15 - Barometric pressure in the eye of a hurricane is...Ch. 15 - Prob. 29ECh. 15 - A 5.4-g jewel has apparent weight 32 mN when...Ch. 15 - Styrofoams density is 160kg/m3. What percent error...Ch. 15 - A steel drum has volume 0.23 m3 and mass 16 kg....Ch. 15 - Water flows through a 2.5-cm-diameter pipe at 1.8...Ch. 15 - Show that pressure has the units of energy...Ch. 15 - A typical mass flow rate for the Mississippi River...Ch. 15 - Prob. 36ECh. 15 - A typical human aorta, the main artery from the...Ch. 15 - When a couple with total mass 120 kg lies on a...Ch. 15 - A fully loaded Volvo station wagon has mass 1950...Ch. 15 - Youre stuck in the exit row on a long flight, and...Ch. 15 - A vertical tube 1.0 cm in diameter and open at the...Ch. 15 - Dam breaks present a serious risk of widespread...Ch. 15 - A U-shaped tube open at both ends contains water...Ch. 15 - Prob. 44PCh. 15 - A garage lift has a 45-cm-diameter piston...Ch. 15 - Archimedes purportedly used his principle to...Ch. 15 - Youre testifying in a drunk-driving case for which...Ch. 15 - A glass beaker measures 14 cm high by 5.0 cm in...Ch. 15 - A typical supertanker has mass 2.0 106 kg and...Ch. 15 - A balloon contains gas of density and is to lift a...Ch. 15 - (a) How much helium (density 0.18 kg/m3) is needed...Ch. 15 - A 55-kg swimmer climbs onto a Styrofoam block of...Ch. 15 - If the blood pressure in the unobstructed artery...Ch. 15 - Youre a consultant for maple syrup producers. They...Ch. 15 - The water in a garden hose is at 140-kPa gauge...Ch. 15 - The venturi flowmeter shown in Fig. 15.26 is used...Ch. 15 - A 1.0-cm-diameter venturi flowmeter is inserted in...Ch. 15 - A balloons mass is 1.6 g when its empty. Its...Ch. 15 - Blood with density 1.06 g/cm3 and 10-kPa gauge...Ch. 15 - Prob. 60PCh. 15 - A drinking straw 20 cm long and 3.0 mm in diameter...Ch. 15 - In 2012, film producer James Cameron (Terminator,...Ch. 15 - Prob. 63PCh. 15 - Water emerges from a faucet of diameter d0 in...Ch. 15 - Assuming norm.nl atmospheric pressure, how massive...Ch. 15 - Figure 15.28 shows a simplified diagram of a Pitot...Ch. 15 - At a hearing on a proposed wind farm, a...Ch. 15 - A pencil is weighted so it floats vertically with...Ch. 15 - A can of height h and cross-sectional area A0 is...Ch. 15 - Density and pressure in Earths atmosphere are...Ch. 15 - (a) Use the result of Problem 70 to express...Ch. 15 - A circular pan of liquid with density is centered...Ch. 15 - A solid sphere of radius R and mass M has density ...Ch. 15 - The difference in air pressure between the inside...Ch. 15 - Find the torque that the water exerts about the...Ch. 15 - One vertical wall of a swimming pool is a regular...Ch. 15 - Youre a private investigator assisting a large...Ch. 15 - A plumber conies to your ancient apartment...Ch. 15 - Your class in naval architecture is working on the...Ch. 15 - Prob. 80PPCh. 15 - Prob. 81PPCh. 15 - Prob. 82PPCh. 15 - Prob. 83PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
An object undergoes simple harmonic motion in two mutually perpendicular directions, its position given by r=As...
Essential University Physics: Volume 1 (3rd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
25. (II) One 3.2-kg paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging b...
Physics: Principles with Applications
Free Fall on Different Worlds
Objects in free fall on the earth have acceleration ay = ? 9.8 m/s2. On the moon,...
College Physics: A Strategic Approach (3rd Edition)
A copper wire has a radius of 200 µ m and a length of 5.0 m. The wire is placed under a tension of 3000 N and t...
University Physics Volume 1
41. A converging lens with a focal length of 40 cm and a diverging lens with a focal length of –40 cm are 160 c...
College Physics: A Strategic Approach (4th Edition)
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
- How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardA liquid with a coefficient of volume expansion just fills a spherical shell of volume V (Fig. P16.53). The shell and the open capillary of area A projecting from the top of the sphere are made of a material with an average coefficient of linear expansion . The liquid is free to expand into the capillary. Assuming the temperature increases by T, find the distance h the liquid rises in the capillary.arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40arrow_forward
- An airtight dispenser for drinking water is 25 cm × 10 cm in horizontal dimensions and 20 cm tall. It has a tap of negligible volume that opens at the level of the bottom of the dispenser. Initially, it contains Water to a level 3.0 cm from the top and air at the ambient pressure, 1.00 atm, from there to the top. When the tap is opened, water will flow out until the gauge pressure at the bottom of dispenser, and thus at the opening of the tap, is 0. What volume of water flows out? Assume the temperature is constant, the dispenser is perfectly rigid, and the water has a constant density of 1000 kg/m3.arrow_forward(a) Given that air is 21% oxygen, find the minimum atmospheric pressure that gives a relatively safe partial pressure of oxygen of 0.16 atm. (b) What is the minimum pressure that gives a partial pressure of oxygen above the quickly fatal level of 0.06 atm? (c) The air pressure at the summit of Mount Everest (8848 m) is 0.334 atm. Why have a few people climbed it without oxygen, while some who have tried, even though they had trained at high elevation, had to tum back?arrow_forwardAn airplane is cruising at altitude 10 km. The pressure outside the craft is 0.287 atm; within the passenger compartment, the pressure is 1.00 atm and the temperature is 20C. A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to estimate the speed of the airstream flowing through the leak.arrow_forward
- A backyard swimming pool with a circular base of diameter 6.00 m is filled to depth 1.50 m. (a) Find the absolute pressure at the bottom of the pool. (b) Two persons with combined mass 150 kg enter the pool and float quietly there. No water overflows. Find the pressure increase at the bottom of the pool after they enter the pool and float.arrow_forwardThe spirit-in-glass thermometer, invented in Florence, Italy, around 1054, consists of a tube of liquid (the spirit) containing a number of submerged glass spheres with slightly different masses (Fig. P15.70). At sufficiently low temperatures, all the spheres float, but as the temperature rises, the spheres sink one after another. The device is a crude but interesting tool for measuring temperature. Suppose the tube is filled with ethyl alcohol, whose density is 0.789 45 g/cm3 at 20.0C and decreases to 0.780 97 g/cm3 at 30.0C. (a) Assuming that one of the spheres has a radius of 1.000 cm and is in equilibrium hallway up the tube at 20.0C, determine its mass. (b) When the temperature increases to 30.0C, what mass must a second sphere of the same radius have to be in equilibrium at the halfway point? (c) At 30.0C, the first sphere has fallen to the bottom of the tube. What upward force does the bottom of the tube exert on this sphere?arrow_forwardA light balloon is filled with 400 m3 of helium at atmospheric pressure. (a) At 0C, the balloon can lift a payload of what mass? (b) What If? In Table 15.1, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen?arrow_forward
- A manometer containing water with one end connected to a container of gas has a column height difference of 0.60 m (Fig. P15.72). If the atmospheric pressure on the right column is 1.01 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 103 kg/m3. FIGURE P15.72arrow_forwardBird bones have air pockets to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone air and in water and finds its mass is 45.0 g ad its apparent mass when submerged is 3.60 g (assume the bone is watertight.)(a) What mass of is displaced? (b) What is the volume of the bone? (c) What is its average density?arrow_forwardA garden hose with a diameter of 2.0 cm is used to fill a bucket, which has a volume of 0.10 cubic meters. It takes 1.2 minutes to fill. An adjustable nozzle is attached to the hose to decrease the diameter of the opening, which increases the speed of the water. The hose is held level to the ground at a height of 1.0 meters and the diameter is decreased until a flower bed 3.0 meters away is reached. (a) What is the volume flow rate of the through the nozzle when the diameter 2.0 cm? (b) What does is the speed of coming out of the hose? (c) What does the speed of the water coming out of the hose need to be to reach the flower bed 3.0 meters away? (d) What is be diameter of nozzle needed to reach be flower bed?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Gas density and PV=nRT, the ideal gas law; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=RFF1MIQDdds;License: Standard YouTube License, CC-BY
Weight, Force, Mass & Gravity | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=U78NOo-oxOY;License: Standard Youtube License