Question

A rectangular block of ice 13 m on each side and 1.1 m thick
floats in sea water. The density of the sea water is 1025
kg/m^{3}. The density of ice is 917 kg/m^{3}.

1)

How high does the top of the ice block float above the water level?

2) How many penguins of mass 20 kg each can stand on the ice block before they get their feet wet?

Answer #1

A seal with a mass of 130 kg floats on a slab of ice in the
Arctic Ocean. What minimum volume must the slab have in order that
the seal not get its skin wet with the seawater? In other words,
the top surface of the ice slab is exactly at the same level as the
seawater. Use 1025 kg/m3 for the density of seawater and 920 kg/m3
for the density of the ice slab. a) 1.24 m3 b) 1.01...

A wood cube 0.26 m on each side has a density of 730 kg/m3 and
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What is the distance from the top of the wood to the water
surface? 7.0 x 10^-2m
What mass has to be placed on top of the wood so that its top is
just at the water level?

A block of wood of mass 10.8 kg and density 4.42 x 10^2 kg/m3,
floats on water. (a) What is the minimum amount of aluminum
(density 2.70 x 10^3 kg/m3) that can be placed on top of the wood
block and cause the block of wood and the aluminum to sink? (b) If
instead it was a block of ice of mass 10.8 kg and density 8.90 x
10^2 kg/m3. What is the minimum amount of aluminum that can be...

A block of wood floats partially submerged in water. Oil is
poured on top of the water until the block of wood is totally
submerged, partially in water and partially in oil as shown in the
figure. A clear cup is partially filled with water, and has oil
floating on top of the water, almost filling the vessel. Completely
submerged in the fluids is a block. The block floats so that part
of it is in the water and part...

A wood cube 0.28m on each side has a density of 680kg/m3 and
floats levelly in water.
What is the distance from the top of the wood to the water
surface? (in m)
Express your answer using two significant figures
What mass has to be placed on top of the wood so that its top is
just at the water level? (kg)
Express your answer using two significant figures.

A cubical block of wood, 10.2 cm on a side, floats at the
interface between oil and water with its lower surface 1.60 cm
below the interface (the figure (Figure 1) ). The density of the
oil is 790 kg/m3.
A) What is the gauge pressure at the upper face of the
block?
B) What is the gauge pressure at the lower face of the
block?
C) What is the mass of the block?
D) What is the density of...

A uniform, wooden cube with length d = 3.0 cm on each
side has a density r = 500 kg/m3 and floats
motionlessly in water (density 1000 kg/m3). (Take the
acceleration due to gravity to be 9.8 m/s2.) When
pressed down by a small amount, and released, what is the
approximate frequency of the resulting up-and-down
oscillations?

Unpolarized light of intensity I0 is sent through 5 polarizers,
each rotated 75◦ from the previous polarizer. What is the intensity
transmitted by this system?
A 0.00000000 I0
B 0.00023156 I0
C 0.00001007 I0
D 0.00004027 I0
E 0.00010068 I0
The density of ice is about 900 kg/m3, and the density of water
is about 1000 kg/m3. A cubic block of ice 1 meter on a side floats
in water. Assuming that the lowest square face of the cube is...

A cubical block of wood measuring 0.20 m
on each edge has a mass of 3.0 kg. It is
floating in water. A block of lead of the same
mass (3.0 kg) is placed on top of the wood.
To what depth “d” does the wood float?

Whatever floats your boat
You and your two friends Tom Sawyer and Huck Finn each weigh 70
kg and want to build a raft out of
logs to float from Hope to Vancouver on the Fraser River. The
Birch logs that you have found are 3.0 m
long, 0.5 m diameter and have a specific density of 0.70. You
want to know how many logs you need to
use to build your raft so that you all keep your feet...

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