Question

The average human has a density of 945 kg/m3 after inhalation, and 1020 kg/m3 after exhalation. Fresh water has a density of 1000 kg/3, sea water a density of about 1025 kg/m3, and the Dead Sea (which is actually a lake), a density of about 1230 kg/3. Which of the following statements are true?
a. The human body has nearly the same density as salt water after exhaling.
b. The human body will always float in the Dead Sea.
c.A human would float in fresh water after exhaling

Answer 1

Answer:

a. The human body has nearly the same density as salt water after exhaling.

b. The human body will always float in the Dead Sea.

Explanation:

According to the concept of floating on the basis of  density, any body that is put in a fluid of density greater than its own density will always float due to the force of buoyancy from the liquid.

• The portion of the object submerged  while the object is floating depends upon the density of the object as compared to the density of the fluid. This is governed by the equation:

$\rho_f.V_s=\rho_o.V_o$

where:

$\rho_f=$ density of the fluid

$\rho_o=$ density of the object

$V_s=$ volume of the object submerged in the fluid

$V_o=$ total volume of the object