Question

1)A hollow sphere is held below the surface of a lake by a cord anchored to the bottom of the lake. The sphere has a volume of 1 cubic meter and the tension in the cord is 5N.(a) Calculate the buoyant force exerted by the water on the sphere.(b) What is the mass of the sphere? (c) The cord breaks and thesphere risesto the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Answer #1

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...

piece of cork is held partially submerged in water by a string
attached to its bottom. The weight of the
cork in air is 20.0 N. The tension in the string is 10.0 N.
(a) What is the buoyant force on the cork? (Newston's 1st
law)
(b) What is the volume of the cork under water? (Archimedes
Principle)
(c) If this volume is 20.0% of the total volume of the cork,
what is the density of the cork?
Oil of...

5. A hollow sphere, a solid cylinder, and a hollow cylinder are
all released from rest at the top of a ramp. Which object reaches
the bottom of the ramp first? (a) The hollow sphere (b) The solid
cylinder (c) The hollow cylinder (d) They all reach the bottom of
the ramp at the same time
6. What is the formula for the moment of inertia of a hollow
cylinder rotating about an axis at its edge? (a) I =...

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...

A man of mass m=74.0 kg is holding his breath and floating, at
rest, on the surface of a lake. While holding his breath, his
density is p=994.0 kg.m^3. He exhales, which increases his density
to 1030.0 kg/m^3 and so he begins to sink. The density of water is
1000.0 kg/m^3.
a) when the man is floating at the surface of lake, what percent
of his body's volume is above water?
b) once the man exhales, what is the buoyancy...

Block A in the figure (Figure 1) hangs by a cord from spring
balance D and is submerged in a liquid C contained in beaker B. The
mass of the beaker is 0.750 kg ; the mass of the liquid is 1.55 kg
. Balance D reads 3.75 kg and balance E reads 7.50 kg . The volume
of block A is 4.00×10−3 m3 .
A. What is the density of the liquid? Express your answer in
kilograms per cubic...

A metallic cubic block of length s=3.25cm is held at rest below
water (Pw=1.00x10^3kg/m^3) by a hand that applies a force of 2.74N
vertically up. The upper face of the block is 3.70 cm below the
surface of the water, which in turn is exposed to the atmosphere.
a) What is the density of the block? b) Determine the absolute
pressure at the bottom face of the block immediately after the hand
is removed. Give the result in kPa. Draw...

1. The three tanks shown above are filled with water to an equal
depth. All the tanks have an equal height. Tank A has the least
surface area at the bottom, tank B has the greatest and tank C has
the middle area at the bottom.
(Select T-True, F-False, G-Greater than, L-Less than, E-Equal to.
If the first is F the second L and the rest G, enter
FLGGGG).
A) The total force exerted by the water on the bottom...

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 diver is located 63 m below the surface of the ocean (the
density of seawater is 1025
kg/m^3). To raise a treasure chest that she discovered, the
diver inflates a plastic, spherical
buoy with her compressed air tanks. The radius of the inflated
buoy is 0.41 m. If the
treasure has a mass of 215 kg, what is the acceleration of the
buoy and the treasure chest
when they are tethered together and released? The chest is 22 cm...

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