In FIGURE Q14.5, is pA larger than, smaller than, or equal to pB? Explain
Pressure on both points are equal. so pA = pB
Two points A and B is shown in the diagram below.
The pressure of liquid depends on the density and depth below the surface and atmospheric pressure.
P = hρg + Atmospheric pressure.
P = pressure
h = depth of point from the surface or opening
ρ = density of liquid
g = gravitational acceleration
In this case both will have same height so pressure will remain same.
The floating ship will not impact the pressure on the point below. The weight of ship will be countered by buoyant force.
So pA = pB.
It's possible to use the ideal-gas law to show that the density of the earth's atmosphere decreases exponentially with height. That is, , where is the height above sea level, is the density at sea level (you can use the Table value), and is called the scale height of the atmosphere.
a. Determine the value of .
Hint: What is the weight of a column of air?
b. What is the density of the air in Denver, at an elevation of ? What percent of sea-level density is this?
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