When a champagne bottle is opened, the cork shoots vertically upward from the bottle into the air due to the pressure difference between the 7.5 atm of the carbon dioxide gas beneath it and the atmospheric air pres- sure. The cork has mass m = 9.1 g and cross-sectional area A=2.5 cm², and the cork's acceleration (assumed constant) lasts for time interval Ar = 1.2 ms. Neglecting air resistance during the flight and assuming the release is outdoors (no ceiling), how high will the cork fly?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![When a champagne bottle is
opened, the cork shoots vertically upward from the bottle into
the air due to the pressure difference between the 7.5 atm of
the carbon dioxide gas beneath it and the atmospheric air pres-
sure. The cork has mass m = 9.1 g and cross-sectional area
A = 2.5 cm², and the cork's acceleration (assumed constant) lasts
for time interval At = 1.2 ms. Neglecting air resistance during
the flight and assuming the release is outdoors (no ceiling), how
high will the cork fly?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca6cb9a3-d47e-45fb-93b0-859af5003338%2F4ba30c2c-0a83-4edb-86d6-3d0d388a7bb1%2Fizgi0d7_processed.png&w=3840&q=75)
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