ARCHIMEDES PRINCIPLE AND LAW OF
FLOTATION
1.
The mass of a solid
object with an irregular shape is 50 g. The solid object is totally immersed in
water of volume 40 cm3 containing in a measuring cylinder rise to 56 cm3
and its weight reduced to 0.3 N, Calculate;
a) Density of object
b) Upthrust exerted by water on the object
c) Relative density of the object
2.
In an experiment to
determine the density of a liquid, an iron block weighted 4.2 N in air, 4.0 N
when completely immersed in water and 3.8 N immersed in another liquid. What is
the density of liquid? (Density of water = 1000 Kg/m3)
3.
An object is hung from a
spring.
a. What is the buoyant force on the object in water?
b. What is the weight of water displaced by the object?
c. Determine the volume of water displaced by the object.
d. What is the volume of the object?
[Density of water = 1000 kgm-3]
4.
A stone weights 2.5 N. When it is fully submerged in a liquid, its
apparent weight is 2.2 N. Calculate the
density of liquid if its volume displaced by the stone is 25 cm3
5.
A body weights 0.52 N in
air. Total immersed in water it weighs only 0.32 N while its weight when
immersed in another liquid is 0.36 N. What is the density of the other liquid?
6.
The pressure at a bottom of
a well is 98000 N/m2. How deep is the well?
7.
A piece of metal block
weight in air 35 N and 26.4 N when completely immersed in water calculate its.
a) Relative density
b) Density of glass
c) Volume of glass
(Density
of water = 1 g/cm3)
8.
a) A piece of the cork of
volume 100 cm3 is floating on water. If the density of cork is
0.259 g/cm3
i)
Calculate the volume of
cork immersed in the water.
ii) What force is needed to immerse the cork completely?
b) Ice has a density about 0.99 g/cm3. What friction of
the volume of iceberg is submerged in water?
(Given acceleration due to
gravity = 10 m/s2)
9.
A metal cube weighs 1.0 N in
air and 0.8 N when totally immersed in water. Calculate
i)
The volume of the cube
ii) Density of the cube
(Given the weight of 1 g mass =
0.01 N)
10.
An iron cube, mass 480 g and
density 8 g/cm3 is suspended by a string so that it is half-immersed
in an oil of density of 0.9 g/cm3. Find the tension (force) in the
string.
11.
A body weighs 0.52 N in air. Totally
immersed in water it weighs only 0.32 N while its weight when immersed in
another liquid is 0.36 N. The density of water is 1000 Kg/m3. What is
the density of the other liquid?
12.
A metal cube of side 2 cm
weighs 0.56 N in air. Calculate
i)
Its apparent weight when
immersed in white spirit of density 0.85 g/cm3
ii) The density of the metal of which it is made
13.
A ship of mass 1200 tonnes floats
in sea water.
i)
What volume of sea water
does it displace?
ii) If the ship enters fresh water, what mass of cargo must be
unloaded so that the same volume of water is displaced as before?
(Given density of fresh water
=1000 Kg/m3, relative density of sea water = 1.03)
14.
A rectangular metal block
has a mass of 0.48 Kg and dimensions 0.05 m by 0.04 m by 0.03 m.
i)
Calculate the density of
the metal.
ii) The same block is now suspended from a balance so that the block
is completely immersed in a liquid whose density is 1200 Kg/m3. What
will be the reading on the balance?
15.
A lamp of iron of mass 8 Kg
is hung in brine of density 1100 Kg/m3. If the iron has a volume of
0.001 m3, find
i)
The density of iron
ii) The loss of weight in brine
iii) The apparent weight in brine
16.
A block of wood with the dimensions 0.12 by 0.34 by
0.43 cubic meters floats along a river with the broadest face facing down. The
wood is submerged to a height of 0.053 meters. What is the mass of the piece of
wood?
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