Final answer:
The buoyant force equals your body weight when floating. Given the density of the Great Salt Lake and your mass and volume, approximately 9.17% of your volume will be above water while floating in the lake.
Step-by-step explanation:
To calculate the percentage of your volume that would be above water while floating in the Great Salt Lake with a water density of 1100 kg/m3 and your body's parameters being a mass of 60 kg and a volume of 60 L (0.06 m3), we use the principle of buoyancy.
According to Archimedes' principle, the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. Since you are floating without sinking or rising, the buoyant force is equal to your weight. The volume of water displaced while floating would have a mass equal to your mass.
Buoyancy calculation: The mass of the displaced water is given by the density of the water (ρw) times the displaced volume (Vd). Therefore, ρw × Vd = your mass (m).
Since you are given the density of the lake water to be 1100 kg/m3 and your mass is 60 kg, the volume of water you displace while floating (Vd) would be 60 kg / 1100 kg/m3, which equals approximately 0.0545 m3.
Your total volume is given as 0.06 m3. Therefore, the percentage of your volume above water is
((0.06 m3 - 0.0545 m3) / 0.06 m3) × 100%, which equals approximately 9.17%.
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