Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 14, Problem 39P
To determine
The amount of helium required to lift a light balloon with
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The atmospheric pressure P(x) (measured in inches of mercury) at height x miles above sea level satisfies the differential equation P (x) = -.2P(x). Find the formula for P(x) if the atmospheric pressure at sea level is 29.92.
Variation of Pressure in the atmosphere.
The pressure of the atmosphere decreases as we move higher in the atmosphere. The
decrease in pressure is proportional to the decrease in density of air.
р
=
2|2°
P
P
Where
P = pressure at any point in the atmosphere,
and p = density of air at any point in the atmosphere
Po pressure at sea level = 1.013 x 105 Pa,
and Po air density at sea level = 1.3 kg/m³.
a) What is the density p in terms of po, P, and Po?
b) Start from the formula dP = - p g dy to determine the pressure at any height y.
Note: P is variable
c) What is the pressure if the height is 5.0 km above sea level?
d) At what height above sea level is the pressure equal to ½ Po ?
The density of the earth's atmosphere follows an exponential function,
D(h) = 1.3 e-h/7640
where h is the distance above the earth's surface in meters and D is the density in kg/m. What
mass of air sits above a Im? area on the surface? (You can ignore the curvature of the earth's
surface: that will contribute very little extra efect.)
Chapter 14 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 14.1 - Suppose you are standing directly behind someone...Ch. 14.2 - The pressure at the bottom of a filled glass of...Ch. 14.3 - Several common barometers are built, with a...Ch. 14.4 - You are shipwrecked and floating in the middle of...Ch. 14.6 - You observe two helium balloons floating next to...Ch. 14 - Prob. 1OQCh. 14 - Prob. 2OQCh. 14 - Prob. 3OQCh. 14 - Prob. 4OQCh. 14 - Prob. 5OQ
Ch. 14 - Prob. 6OQCh. 14 - Prob. 7OQCh. 14 - Prob. 8OQCh. 14 - Prob. 9OQCh. 14 - Prob. 10OQCh. 14 - Prob. 11OQCh. 14 - Prob. 12OQCh. 14 - Prob. 13OQCh. 14 - Prob. 14OQCh. 14 - Prob. 15OQCh. 14 - Prob. 16OQCh. 14 - Prob. 1CQCh. 14 - Prob. 2CQCh. 14 - Prob. 3CQCh. 14 - Prob. 4CQCh. 14 - Prob. 5CQCh. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - Prob. 9CQCh. 14 - Prob. 10CQCh. 14 - Prob. 11CQCh. 14 - Prob. 12CQCh. 14 - Prob. 13CQCh. 14 - Prob. 14CQCh. 14 - Prob. 15CQCh. 14 - Prob. 16CQCh. 14 - Prob. 17CQCh. 14 - Prob. 18CQCh. 14 - Prob. 19CQCh. 14 - A large man sits on a four-legged chair with his...Ch. 14 - Prob. 2PCh. 14 - Prob. 3PCh. 14 - Estimate the total mass of the Earths atmosphere....Ch. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Prob. 7PCh. 14 - Prob. 8PCh. 14 - Prob. 9PCh. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - Prob. 13PCh. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - Prob. 16PCh. 14 - Prob. 17PCh. 14 - Review. A solid sphere of brass (bulk modulus of...Ch. 14 - Prob. 19PCh. 14 - The human brain and spinal cord are immersed in...Ch. 14 - Blaise Pascal duplicated Torricellis barometer...Ch. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - Prob. 24PCh. 14 - Prob. 25PCh. 14 - Prob. 26PCh. 14 - A 10.0-kg block of metal measuring 12.0 cm by 10.0...Ch. 14 - Prob. 28PCh. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - A plastic sphere floats in water with 50.0% of its...Ch. 14 - A spherical vessel used for deep-sea exploration...Ch. 14 - A wooden block of volume 5.24 104 m3 floats in...Ch. 14 - The weight of a rectangular block of low-density...Ch. 14 - Prob. 35PCh. 14 - A hydrometer is an instrument used to determine...Ch. 14 - Prob. 37PCh. 14 - Prob. 38PCh. 14 - Prob. 39PCh. 14 - Water flowing through a garden hose of diameter...Ch. 14 - Prob. 41PCh. 14 - Prob. 42PCh. 14 - Prob. 43PCh. 14 - Prob. 44PCh. 14 - A legendary Dutch boy saved Holland by plugging a...Ch. 14 - Prob. 46PCh. 14 - Water is pumped up from the Colorado River to...Ch. 14 - Prob. 48PCh. 14 - Prob. 49PCh. 14 - Review. Old Faithful Geyser in Yellowstone...Ch. 14 - Prob. 51PCh. 14 - An airplane has a mass of 1.60 104 kg, and each...Ch. 14 - Prob. 53PCh. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - Decades ago, it was thought that huge herbivorous...Ch. 14 - Prob. 57APCh. 14 - Prob. 58APCh. 14 - Prob. 59APCh. 14 - Prob. 60APCh. 14 - Prob. 61APCh. 14 - The true weight of an object can be measured in a...Ch. 14 - Prob. 63APCh. 14 - Review. Assume a certain liquid, with density 1...Ch. 14 - Prob. 65APCh. 14 - Prob. 66APCh. 14 - Prob. 67APCh. 14 - A common parameter that can be used to predict...Ch. 14 - Evangelista Torricelli was the first person to...Ch. 14 - Review. With reference to the dam studied in...Ch. 14 - Prob. 71APCh. 14 - Prob. 72APCh. 14 - In 1983, the United States began coining the...Ch. 14 - Prob. 74APCh. 14 - Prob. 75APCh. 14 - The spirit-in-glass thermometer, invented in...Ch. 14 - Prob. 77APCh. 14 - Review. In a water pistol, a piston drives water...Ch. 14 - Prob. 79APCh. 14 - Prob. 80APCh. 14 - Prob. 81APCh. 14 - A woman is draining her fish tank by siphoning the...Ch. 14 - Prob. 83APCh. 14 - Prob. 84APCh. 14 - Prob. 85CPCh. 14 - Prob. 86CPCh. 14 - Prob. 87CP
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