Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 0, Problem 25P
To determine
The volume of earth’s atmosphere.
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How many cubic meters of helium are required to lift a light balloon with a 370-kg payload to a height of 7,998 m? Take pu. = 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 = Poe-z/8,000, where z is in meters and Po = 1.20 kg/m is the density of air at sea level.
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Calculate the average density of the earth in terms of g, G and R.
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 ?
Chapter 0 Solutions
Physics Fundamentals
Ch. 0 - Prob. 1PCh. 0 - Prob. 2PCh. 0 - Prob. 3PCh. 0 - Prob. 4PCh. 0 - Prob. 5PCh. 0 - Prob. 6PCh. 0 - Prob. 7PCh. 0 - Prob. 8PCh. 0 - Prob. 9PCh. 0 - Prob. 10P
Ch. 0 - Prob. 11PCh. 0 - Prob. 12PCh. 0 - Prob. 13PCh. 0 - Prob. 14PCh. 0 - Prob. 15PCh. 0 - Prob. 16PCh. 0 - Prob. 17PCh. 0 - Prob. 18PCh. 0 - Prob. 19PCh. 0 - Prob. 20PCh. 0 - Prob. 21PCh. 0 - Prob. 22PCh. 0 - Prob. 23PCh. 0 - Prob. 24PCh. 0 - Prob. 25PCh. 0 - Prob. 26PCh. 0 - Prob. 27PCh. 0 - Prob. 28PCh. 0 - Prob. 29PCh. 0 - Prob. 30PCh. 0 - Prob. 31PCh. 0 - Prob. 32PCh. 0 - Prob. 33PCh. 0 - Prob. 34P
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