Buoyancy in Swimming Pool · PhysicsBowl 2017 #22

Physics · fluid-mechanics

Problem

A large swimming pool is filled with a liquid having a density of 5.00×102kgm35.00×10^2 \frac{kg}{m^3}. A person wants to see what happens if she jumps into the deep end of the pool (3.0 meters deep). Which one of the following choices correctly identifies what will happen to the person? Assume that the person does not try to move their arms or legs until discovering what happens after equilibrium is established. (A) The person will float with much more than 50% of their body's volume above the liquid's surface. (B) The person will float with approximately 50% of their body's volume above the liquid's surface. (C) The person will float with much less than 50% of their body's volume above the liquid's surface. (D) The person will sink but remain off the bottom of the pool. (E) The person will sink to the pool's bottom.

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