What is the volume of the professor's body? Round the final answer to two decimal places. Calculate the buoyant force on the professor under water. Round the final answer to one decimal place. The professor jumps off a 10-m platform and hits the water at 45.7 ft/s (31.2 mph). Considering buoyancy and gravity alone (i.e. ignoring drag), will the water eventually bring him to rest? Yes or no?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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The density of a human body depends on the fraction of fat composing the body, since fat is less dense than muscle. Human fat tissue has a density of about 0.9 kg/liter (900 kg∕m3), so fat floats. Meanwhile the density of fat-free tissue is about 1.1 kg/liter (1100 kg∕m3), so this tissue sinks. Consider two males, both 140 lb. One is a typical American physics professor, who shall go unnamed. With 18% body fat, the density of his body is 1.81 slug∕ft3. The other 140-lb male is Michael Phelps, with a reported 6% body fat, the minimum “essential” fat without being considered medically ill. The mass density of Michael’s body is 1.98 slug∕ft3 and the mass density of water is 1.94 slug∕ft3.

What is the volume of the professor's body? Round the final answer to two decimal places.

Calculate the buoyant force on the professor under water. Round the final answer to one decimal place.

The professor jumps off a 10-m platform and hits the water at 45.7 ft/s (31.2 mph).

Considering buoyancy and gravity alone (i.e. ignoring drag), will the water eventually bring him to rest? Yes or no?

The professor jumps off a 10-m platform and hits the water at 45.7 ft/s (31.2 mph). How far will he travel in the water before coming to rest? Round the final answer to one decimal place.

What is Michael’s body volume? Round the final answer to two decimal places.

Determine the buoyant force on Michael under water. Round the final answer to one decimal place.

Considering buoyancy and gravity alone (i.e. ignoring drag), will the water eventually bring Michael to rest? Yes or no?

 
 
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