About one-third of the body of a person floating in the Dead Sea will be above the waterline. Assuming that the human body density is find the density of the water in the Dead Sea. (Why is it so much greater than
The density of Dead Sea water is
The water of the dead is way saltier than the normal water. Therefore, the density of the water is high.
The fraction of the body of a person floating in the Dead Sea is
The density of the human body is,
By using the fraction of the body, which is inside the water, we can find out the ratio of the volume of the seawater displaced by the submerged body to the total volume of the person’s body Then using Archimedes’ principle, we can find .
The fraction can be written as
Weight of the sea water displaced by the body.
Buoyant force acting on the 1/3 body of a person is,
According to Archimedes principle, we can equate equation
Therefore, the density of Dead Sea water is
The density of the dead sea water is much higher than the normal water. The dead sea is located in the region where temperature is quite high and rainfall is quite low. Therefore, the rate of evaporation in the region is quite high. As a result, the water of the dead is way saltier than the normal water. Therefore, the density of the water is high.
Models of torpedoes are sometimes tested in a horizontal pipe of flowing water, much as a wind tunnel is used to test model airplanes. Consider a circular pipe of internal diameter and a torpedo model aligned along the long axis of the pipe. The model has a diameter and is to be tested with water flowing past it at .
(a) With what speed must the water flow in the part of the pipe that is unconstricted by the model?
(b) What will the pressure difference be between the constricted and unconstricted parts of the pipe?
When a pilot takes a tight turn at high speed in a modern fighter airplane, the blood pressure at the brain level decreases, blood no longer perfuse the brain, and the blood in the brain drains. If the heart maintains the (hydrostatic) gauge pressure in the aorta at (or ) when the pilot undergoes a horizontal centripetal acceleration of . What is the blood pressure () at the brain, localid="1657253735468" radially inward from the heart? The perfusion in the brain is small enough that the vision switches to black and white and narrows to “tunnel vision” and the pilot can undergo g-LOC (“g-induced loss of consciousness”). Blood density is.
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