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Review. (a) Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth h below the surface, the volume Vi of the balloon at the surface, the pressure P0 at the surface, and the density ρw of the water. Assume the water temperature does not change with depth, (b) Does the bouyant force increase or decrease as the balloon is submerged? (c) At what depth is the buoyant force one-half the surface value?

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Priyanka
PriyankaLv10
5 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. Which of the following are VECTORS? Choose all thatapply.
1
pressure __momentum density masspowerdisplacement

b.) Which of the following can be measured in CALORIES? Choose allthat apply.
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mass angularmomentum weight potentialenergy power __work

c.) For a submarine, identify when it will have the LEAST buoyantforce acting on it. Assume thatneither the volume of the submarinenor the density of the waterchange. Choose all thatapply.
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When it is empty and fully submerged ata depth of 50 m. When it isfullof cargo and floating on the surface. When it isin dry dock andno part of it is submerged in water.When it is empty and floatingon thesurface. When it is empty, fully submerged, andresting on thebottom at a depth of 100 m. When it isfull of cargo and fullysubmerged at a depth of 50 m.When it is full of cargo,fullysubmerged, and resting on the bottom at a depth of 100m.

d.) Which of the following statements are IMPOSSIBLE? Choose allthat apply.
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A perfectly functioning hydraulic had apressure of 33 psi in thefluid near the small piston and apressure of 19 psi in the fluidnear the big piston.A 32 L container displaced 44 L oforange juicewhen fully submerged. A substanceunderwent melting during which itstemperature changed 74°F. A 37 lb brick was fully submergedinwater. The buoyant force on the brick was 41 lb. As adirectresult, the brick was neutrally buoyant. Last Sunday,the Sunheated the Moon via convection. Thetemperature inside a vacuumchamber was measured to be 13°C.
A beach ball made of thin plastic is submerged in a pool. Whathappens to the buoyant force as the ball is taken from the surfaceto the bottom. The expert answer says it increases, but I do notfollow that. My thought is:
As the beach ball is taken deeper, it will compress due to theincreased pressure of the column of water above it. As itcompresses, the volume of the beach ball will decrease. As thevolume decreases, it has a smaller surface area. Since B=?fluid*g*h and h decreases, Bdecreases.
Is my thought process correct?

11.34 - In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16 X 108 Pa (about 1.15 X 10° atm). (a) If a cubic meter of water is taken from the surface to this depth, what is the change in its volume? (Normal atmospheric pressure is about 1.0 X 10Pa. Assume that k for seawater is the same as the freshwater value given in Table 11.2.) (b) What is the density of seawater at this depth? (At the surface, seawater has a density of 1.03 X 10° kg/m”.)

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