ARCHIMEDE’S PRINCIPLE AND THE LAW OF
FLOATATION.
1. Define
the following;
i.
Sinking
ii.
Floating
iii.
Up thrust
iv.
Buoyancy
v.
Real weight
vi.
Apparent weight
vii.
Apparent loss weight
2. i. State the Archimedes’s principle.
ii. State the floatation law.
iii. When an object with a mass of
250g is submerged in water its weight is measured to be 2.2N.
a) What
is the up-thrust acting on the object?
b) What
is the density of the object?
3. Write
true for correct or false for incorrect statement for each
of the following.
a.
Archimedes’s principle is also known as the law of
submergence________
b.
The
relative density of an object is the ratio of its density to the density of
water__
c.
The
relative density of an object cannot be used to determine the proportion of the
object that will be submerged in a fluid__________
d.
A
spring balance can directly give the mass of object__________-
4. Buoyancy
is mainly determined by two factors, namely;
a. Volume
and density
b. Volume
and mass ( )
c. Weight
and mass
d. Weight
and density
5. a) A solid
wood weight 60N in air and when it is completely submerged in water the wood weighs
48N. Calculate the apparent loss in weight of the wood and the volume of water
displaced (Use Gravitational force 9.88N/kg).
b) Briefly
explain why a key sink in water does and ship floats and it is made of steel
and other metals?
6. a)
Define the term Hydrometer
b) Draw a well labeled diagram of
Hydrometer
c) Differentiate
between Plimsoll lines and lords register
7. A
car ferry with vertical sides has a water line area of 600m2. When
fully lden with 30 car, their passengers and luggage the fully laden carried is
30,750 kg. How far will the ferry sink with this load, if the density of sea
water is 1025kg/m3?
8. An
empty density bottle weights 30g, when full of water weights 80g, when full of
liquid weights 70g. Calculate;
i. The Relative density ii. The density of the liquid
b).
A hydrometer floats in water when some
detergent is added the hydrometer rises slightly
although the density of the water is unchanged
c) A metal cube of side 2cm weights 0.56N in
air Calculate
i). its apparent weight
when immersed in white spirit of density 0.855g/cm3
ii) The density of the metal of which it is made
9. Explain concisely why a ballon full of
hydrogen rises, whilst full of air sinks. Draw a labeled diagram in each case to show the
forces acting on the ballon
a. A
hydrometer sinks deeper into alcohol than it does into denser water
b. A
steel sphere of density 7800kg/m3 and volume 13cm3 floats in mercury of
density 13,600kg/m3. What volume of the sphere remains above the
surface?
10. A
body weighs 200 g in air and 100 g in water. Find its density
11.
9. A body weighs 500g in air and 50 g in a liquid of density 2g/cm3. Calculate
the up thrust and the density of the body;
12. Explain
why:
a. A
metal coin sinks in water yet a metal ship floats
b. Ice
floats in water
c. Body
weighs less when submerged in liquid.
13. The
loose of weight of a body when it is partially or totally immersed in water is
called__
14. An
empty density bottle weighs 29g.when full of water it weighs 70g and when full
of a liquid it weighs 60g. calculate;
a. The
relative density of the liquid
b. Its
density
15.
An object weighs 500N in air and when
immersed in alcohol. Find the up-thrust on the object;
16. Differentiate
between real weight and apparent weight of an object as applied in physics;
17. A
solid weighs 64N in air and 48N when totally immersed in a liquid of density
0.8g/cm3. Calculate;
i.
The up thrust of the solid.
ii.
The volume of the solid
iii.
The density of the solid
18. The
weight of a body when in water is known as_____________
19. Distinguish
between up-thrust and apparent weight;
20. The
apparent weight of a body is 6.4N. If the weight of liquid displaced is 4.7N.
What is the weight of the body in air?
21. An
object weighs 500N in air and 400N which immersed in alcohol. Find the up-thrust
on the object;
22. The
mass of an empty density bottle was 50g. When filled with a certain liquid of
volume 20cm3 its mass became 75g. Find the ;
a. Density
of the liquid
b. Relative
density of the liquid
23. A
spring balance reads 12N when a mental block is suspended from it and 10N when
the block is.
24. A
piece of metal with a volume of 0.00012m3 has a mass of 0.12kg. What
is the density of metal?
25. A
body has a mass of 120kg and a volume of 100cm3. Will the body sink
or float in water? Give reasons for your answer;
26. A
body weighs 10N in air and 8N when completely immersed in a liquid of density 0.8g/cm3,
Find
a. The
volume of the liquid displaced
b. The
density of the body
27. What
is the volume of a piece of metal with a mass of 150g and density of 0.03g/cm3
28. A
floating body experience an up thrust which is equal to the weight
________________
29. An
ordinary hydrometer of mass 27g floats with 4cm of its stem out of water. If
the cross sectional area of the stem is 0.75cm2 calculates;
a. The
total volume of the stem just under the surface of the liquid.
b. The
relative density of the liquid
30.
Why does a solid body weight more in air
than when immersed in a liquid?
31.
An iron cube of mass 480kg and density
8g/cm3 is suspended by a string so that it is half immersed in oil
of density 0.9g/cm3. Find the tension in the string
32.
Mention two conditions that can make an
object to float.
33.
An object is seen to fall from an aero
plane and observed to take 15 seconds in reaching the ground. Assume that air resistance
is negligible, calculate.
a. The
height of the plane
b. The
velocity with which the object strikes the ground.
34.
Find the average force required to stop
a train weighing 200 tons travelling at 54km/h in two minutes from the
application of the brakes.
35.
A piece of cork is 100cm3 is
floating on water. If the density of cork is
0.25g/cm3,
i.
Calculate the volume of cork immersed in
the water
ii.
What force is needed to immerse the cork
completely? (assume mass of 1g has weight of 0.01N)
36. When
a body is totally immersed in a liquid, it weighs of the body in air; weight of
the liquid displaced is 1.8N. Find the weight of the body in air.
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