A 47 m3 incompressible box is completely submerged in a fluid. Whatvolume of fluid is displaced by the box if the fluid is...

a.) ...air? The density of air is 1.2 kg/m3.
1m3

b.) ...mercury? The density of mercury is is 13.6 g/mL.
2m3

c.) ...helium? The density of helium is 0.1786 g/L.
3m3

d.) ...water? The density of water is 1 g/cm3.
4m3

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Air at 20°C flows through the tube as shown in the figure. Assume that air is an ideal fluid. The density of air is 1.20 kg/m³, the density of mercury is 13600 kg/m³. Suppose that d₁ = 3 mm and d₂ = 1.5 cm.

(a) What is the air speed v₁ at point 1?

(b) What is the air speed v₂ at point 2?

amaranthmouse551

A 149 lb person fully submerged themself in a large graduatedcylinder. As a result, the water level rose from 488 L to 557.7L.

a.) What does the Volume Principle say?
Fluid tends to flow faster where the pressure is lower.
The amount of space an object occupies.
The pressure applied to an enclosed fluid is transmittedundiminished throughout the fluid and to the walls of thecontainer.
The buoyant force on an object wholly or partially submerged in afluid is equal to the weight of the fluid it displaces.
The total amount of volume remains constant.
The amount of fluid displaced by an object is equal to the volumethat has been submerged in the fluid.

b.) What is the person's volume? Express the volume in both L &m3.
__ L
__ m3

c.) Express the person's weight in N.
___N

d.) Determine the person's mass.
___kg

e.) Determine the person's density.
___ kg/m3

f.) Which of the following best describes what will happen andwhy.
The person will float in saltwater but sink in water becauseDsaltwater < Dperson < Dwater.
The person will float in both water & saltwater because theperson's density is less than the density of both liquids.
The person will float in water but sink in saltwater becauseDfreshwater < Dperson < Dsaltwater.
The person will sink in both water & saltwater because theperson's density is more than the density of both liquids

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