Question

In: Physics

In a total-immersion measurement of a Santa’s density, he is found to have a mass of...

In a total-immersion measurement of a Santa’s density, he is found to have a mass of 122 kg in air and an apparent mass of 0.1875 kg when completely submerged with lungs almost totally empty.

What mass, in kilograms, of water does Santa displace?

What is Santa’s volume, in cubic meters?

Calculate Santa’s average density, in kilograms per cubic meter

If Santa’s lung capacity is 2.75 L, is he able to float without treading water with his lungs filled with air? Assume the density of air is 1.29 kg/m3

Expert Solution

Using Archimedes' Principle-

Buoyant force, = Apparent Weight

(a) Mass of water displaced,

(b) Volume of Santa is equal to the volume of water displaced by Santa, which can be given by-

(c) Santa's average density is given by-

(d) When Santa's lungs are filled with air, the buoyant force will be-

Now,

Buoyant force is positive, therefore we can conclude that Sanat will be able to float.

genius_generous answered 2 years ago

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