Question

A 20.2 kg copper mass rests on the bottom of a pool. (The density of copper is 8.92 ✕ 103 kg/m3 and the density of water is 1.00 ✕ 103 kg/m3.) HINT Archimedes' principle states, "Any object completely or partially submerged in a fluid is buoyed up by a force with magnitude equal to the weight of the fluid displaced by the object." Click the hint button again to remove this hint. (a) What is the volume of the copper (in m3)? m3 (b) What buoyant force acts on the copper (in N)? (Enter the magnitude.) N (c) Find the copper's weight (in N). (Enter the magnitude.) N (d) What is the normal force acting on the copper (in N)? (Enter the magnitude.) N

Answer #1

m

A 20.4 kg iron mass rests on the bottom of a pool. (The density
of iron is 7.86 ✕ 103 kg/m3 and the density of water is 1.00 ✕ 103
kg/m3.)
(a) What is the volume of the iron (in m3)?
(b)
What buoyant force acts on the iron (in N)? (Enter the
magnitude.)
(c)
Find the iron's weight (in N). (Enter the magnitude)
(d)
What is the normal force acting on the iron (in N)? (Enter the
magnitude)

A spherical ball with a radius of 2.800×10-1 m is
completely submerged in a fluid that has a density of
1.134×103 kg/m3.
What is the volume of the fluid displaced by the ball? (Since the
ball is completely submerged, this is the same as the volume of the
ball.)
What is the weight of the fluid displaced by the ball?
What is the buoyant force acting on the ball? (See Archimede's
Principle in the text.)

An
object floats first in fluid of density p(1)=900 kg/m^3, then in a
fluid of density p(2)=1000 kg/m^3, and finally in a fluid of
density p(3)=1100 kg/m^3.
a) Rank the densities according to the magnitude of the
buoyant force on the object, greatest first.
b) Rank the densities according to the amount of fluid
displaced by the object, greatest first.

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...

An object of mass 1.6 kg and volume 0.0022 m3 is placed into a
fluid of density 1.33 ✕ 103 kg/m3. The fluid is at rest.
(a) Will the object float or will it sink in the fluid? float
sink
(b) If it floats, what fraction of volume is immersed in the
fluid? If it sinks, find its acceleration, ignoring any drag force
on the object. (Enter the magnitude of the acceleration if it
sinks.)

As shown in the above figure, a solid object has a density of
1200 kg/m3 and a volume of 8.00x10^-5 m³. It is lowered on a string
into water and completely submerged without touching the container.
The density of water is 1000 kg/m3.
Keep 3 decimal places in all answers. (Don't use scientific
notations.)
Without the string, would the solid object sink in water or
float in water? No submission.
(a) What is the magnitude of the weight (in Newtons)...

A 60.0-kg survivor of a cruise line disaster rests atop a block
of Styrofoam insulation, using it as a raft. The Styrofoam has
dimensions 2.00 m ✕ 2.00 m ✕ 0.0895 m. The bottom 0.021 m of the
raft is submerged.
(a) Draw a force diagram of the system consisting of the
survivor and raft. (Submit a file with a maximum size of 1 MB.)
(b) Write Newton's second law for the system in one dimension,
using B for buoyancy,...

A 63.0-kg survivor of a cruise line disaster rests atop a block
of Styrofoam insulation, using it as a raft. The Styrofoam has
dimensions 2.00 m ? 2.00 m ? 0.0820 m. The bottom 0.025 m of the
raft is submerged.
(a) Draw a force diagram of the system consisting of the
survivor and raft. (Submit a file with a maximum size of 1 MB.)
This answer has not been graded yet.
(b) Write Newton's second law for the system...

A 61.0-kg survivor of a cruise line disaster rests atop a block
of Styrofoam insulation, using it as a raft. The Styrofoam has
dimensions 2.00 m ? 2.00 m ?
0.0830 m. The bottom 0.026 m of the raft is submerged.
(a) Draw a force diagram of the system consisting of the
survivor and raft. (Submit a file with a maximum size of 1 MB.)
This answer has not
been graded yet.
(b) Write Newton's second law for the system...

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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