The fraction of the person submerged when floating gently on the freshwater is 0.973.
The average density of the human body = 973 kg/m³.
According to the Archimedes' principle, when a body floats in a fluid it experience is an upward force on it which is called buoyancy the buoyancy on an object is equal to the weight of the fluid that is displaced by the body.
If a body floats than the buoyancy must be equal to the weight of the body.
therefore buoyancy B can be given as
B = Vρg
V is the volume of the body,
ρ is the density of the body.
Also
B = V'xg
V' is the portion of the body submerged in fresh water,
x is the density of the fresh water.
Density of fresh water is 1000kg/m³.
Equating both the equations of 'B'
Vρ = V'x
ρ/x = V'/V
V'/V = 973/1000
So, the fraction of the human body submerged in freshwater is 0.973.
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