Question

The density of alcohol is 806 kg/m^{3}. A sphere is
placed 24 cm below the surface where it experiences a buoyant force
of 135 N. Calculate (a) the radius of the sphere (b) the pressure
at that depth.

Answer #1

A hollow steel sphere (the density of steel is 7820
kg/m3) with an internal diameter of 10 cm and a
thickness of 7mm is attached to a wooden cylinder (the wood has a
density of 900 kg/m3) with a length 50 cm and a diameter
of 20 cm. The inside of the sphere is filled with a fluid. If the
system is neutrally buoyant in water with a density of 998.2
kg/m3, determine the density of the fluid inside the...

What is the total hydrostatic pressure 250 cm below the surface
of water which is open to the air at sea level?
a) 24.5 kPa
b) 24.6 kPa
c) 103.8 kPa
d) 125.8 kPa
2. What is the buoyant force on an object of density 400
kg/m3 and total volume of 1.5 m3 when the
object is held and submerged in water so that 20% of its volume is
above the surface of water?
a) 1176 N
b) 4704 N...

4:A submarine descends into the sea to a depth of 200 m below
the surface of water.
The density of the sea water is 1.03 g/cm3. Atmospheric
pressure is 1.0 x105 Pa.[10 marks]
Calculate:
(a) The increase in pressure as it descends from the surface
to a depth of 70 m.
(b) On another dive, the submarine experiences a total
pressure of 6.5 x105 Pa.
A hatch cover on the submarine has an area of 3.5 m2.
Calculate the force...

Part A
Calculate the buoyant force of air (density 1.20 kg/m3 ) on a
spherical party balloon that has a radius of 14.6 cm .
Express your answer to three significant figures and include
appropriate units
Part B
If the rubber of the balloon itself has a mass of 2.00 g and the
balloon is filled with helium (density 0.166 kg/m3 ), calculate the
net upward force (the “lift”) that acts on it in air.
Express your answer to three...

A certain man has a mass of 79 kg and a density of
991 kg/m3 (excluding the air in his lungs).
Calculate his volume in cubic meters.
Find the buoyant force, in newtons, that air exerts on him. Use
1.29 kg/m3 for the density of air.
What is the ratio of the buoyant force to his weight?

A hollow sphere of inner radius 8.71 cm and outer radius 9.79 cm
floats half-submerged in a liquid of density 898.00
kg/m3. (a) What is the mass of the
sphere? (b) Calculate the density of the material
of which the sphere is made.

A 15-kg metallic cube with uniform density is immersed to a
depth of 2.0 m in a lake. If a buoyant force of 49 N acts
on the cube, what is the density (in kg/m3) of the metal?
Answer: 3000

A 3.2 kg balloon is filled with helium. The balloon is a sphere
with a radius of 4.9 m. Density helium = 0.179kg/m3 Volume of a
sphere = 4/3 πr3 (20 points)(a) What is the volume of the
balloon?(b) What is the weight of the helium inside? (c) What is
the buoyant force on the balloon as it floats in air?(d) What is
the total downward force on the balloon?

A cylindrical container with cross-sectional area of 62cm2 holds a
fluid of density 806
kg/m3. At the bottom of the container the pressure is 120kPa
i. What is the depth of the fluid?
ii. Find the pressure at the bottom of the container after an
additional
2.05 × 10−3?3of this fluid is added to the
container.

A balloon filled with helium gas has an average density of ρb =
0.41 kg/m3. The density of the air is about ρa = 1.23 kg/m3. The
volume of the balloon is Vb = 0.069 m3. The balloon is floating
upward with acceleration a.
a) Express the weight of the balloon, W, in terms of
ρb and Vb.
b) Calculate the numerical value of W in
N.
c) Express the buoyant force Fb in terms of
ρa and Vb.
d)...

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