Question

Density of water =1000kg/m^3 Conversion: 1000L =1m^3

A princess's ball falls down a well. The density of the well water is a constant 1000 kg/m3. The ball has a 10 cm diameter.

a. If the ball sinks, what is the buoyant force on the ball?

b. If the ball floats, with half of it in and half out of the water, what is its density?

c. If the ball weighs 350g, does it float or sink?

Answer #1

A 10.0-pound ball of radius of 260 cm is thrown into seawater
(density 1029 kg/m3).
(d) If the ball floats on seawater, what
percentage fraction of the ball’s volume is below the water
surface?
(e) What is the maximum diameter a ball with
m = 10.0 pound so that it does not float on water but
sinks to the ground?

A 10.0-pound ball of radius of 260 cm is thrown into seawater
(density 1029 kg/m3).
(d) If
the ball floats on seawater, what percentage fraction of the ball’s
volume is below the water
surface?
(e) What is the maximum diameter a ball
with m = 10.0 pound so that it does not float on water but
sinks to the ground?

A ball floats with 1/3 of its volume above the surface of a
fresh water pool. What is the density of the ball? The density of
fresh water is 1000 kg/m3.

A sphere of radius R is completely submerged in a container of
water. The sphere displaces 1m^3 of water. What is the buoyant
force? Assume the density of water ρw = 1000kg/m3 . Hint: The
volume of a sphere is given by V = 4/3πR3
Then, find the density of the sphere given that its weight in
air is 15, 000 kg · m/s2 and the radius R = 1m

The density of gold = 19, 300 kg/m3 which is 19 times
the density of water. Can gold float on water?
Explain.
2/5 of the volume of a solid is under water of density =
1000 kg/m3; find the density of the solid; (c) the same solid
floats so that 3/5 of its volume is under liquid. Find the density
of liquid. Volume of the solid = 5.0 x 10-3 m3

1.)The Buoyant Force from a fluid to an object depends on which
of the following factors?
a.)The volume of the object
b.)The volume of the fluid
c.)The density of the fluid
d.)The density of the object
2.)Why did the Titanic sink after it hit an iceberg and water
rushed into the hull through the hole created by the
collision?
a.)The density of water has increased
b.)The density of the boat increased
c.)The mass of the boat has decreased
d.)The volume...

A plastic rod with a mass of m = 300g and a volume of V = 200
cm^3 is held under fresh water (p = 1000 kg/m^3) and then
released.
A.) What is the mass of the water displaced by the rod?
B.) What is the buoyant force acting on the rod?
C.) What is the apparent weight of the rod?
D.) Will the rod sink or float?

If the experiment has been done correctly, you will have
discovered that the density of water has a maximum value at a
temperature of 4 °C. The density of water is often quoted as being
1.000 g cm-3 (or 1000 kg m-3) at this temperature. The density of
ice at 0 °C is approximately 0.917 g cm-3 (or 917 kg m-3). An
iceberg will therefore float because it is less dense than the
fluid it is immersed in. Consider an...

A flower falls to the bottom of a lake. Once it is on the
bottom, it will release pollen (a little sphere) which begins to
float towards the surface The drag force on a sphere in fluid is
Fdrag=6πrηv,
where r=100 μm is the radius of the pollen,
η=10^−3 Ns/m^2 is the viscosity of water and v is the
velocity of the pollen. The density of pollen is
p=300kg/m^3 and the density of water is
ρw=1000kg/m3. The pollen floats due...

WOODEN CYLINDER
VALUES
mass (kg)
0.0354
weight (N)
0.34692
length (m)
0.290
diameter (m)
0.0163
volume (m3)
0.0002086
density (kg/m3)
169.7
WATER
VALUES
density (kg/m3)
1000
Vi (m3)
180 ml
V (m3)
213 ml
?V (m3)
33 ml
weight of displaced water (N)
0.3234
BRASS CYLINDER
VALUES
weight (N)
2.002
length (m)
0.0605
diameter (m)
0.0192
radius (m)
0.0095
volume (m3)
0.00001751
WA (N)
1.765
ALUMINUM CYLINDER
VALUES
weight (N)
0.621
length (m)
0.0605
diameter (m)
0.0192
radius (m)
0.0096...

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