The submerged fraction of a person when floating gently in fresh water is 0.989. The fraction of a person is submerged when floating gently in salt water with a density of 1027 kg/m³ is 0.963
fs = ρo / ρf
fs = Submerged fraction
ρo = Density of object
ρf = Density of fluid.
a ) For fresh water,
ρo = ρp = 989 kg / m³
ρf = ρw = 1000 kg / m³
fs = 989 / 1000
fs = 0.989
b ) For salt water,
ρo = ρp = 989 kg / m³
ρf = ρs = 1027 kg / m³
fs = 989 / 1027
fs = 0.963
Therefore,
a ) In fresh water, the submerged fraction is 0.989
b ) In salt water, the submerged fraction is 0.963
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