Year
Aas. 140 cm m) 140 gſ (m) 140 gf
1-0 g cm
=80g cm)
Ans.(a) Upthrust on ball A = 12 gf and
See the assumption made in pan (1).
3 You are provided with a hollow iron ball A of volume
15 cm and mass 12 g and a solid iron ball B of mass 12 g
Both are placed on the surface of water contained in a
harge mb. (a) Find upthrust on each ball. (b) Which ball
Reason: Volume of ball B = 12/8-0 = 1-5 cm. Upthrust
6. The mass of a block made of a certain material is
Assumption : density of water =
135 kg and its volume is 15 x 10 m.
(a) Calculate upthrust on the block if it is beld fully
immersed in water
() Will the block float or sink in water when released?
Give reason for your answer
will sick ? Give reason for your answer. (Density of iron
(c) What will be the upthrust on block while floating?
Take density of water = 1000 kg .
Ans.(a) 15 kgf. (6) The block will float since upthrust
on ball B = 1-5 gf. () The ball B will sink
on it when fully immersed in water is more than its
weight ©) While floating upthrust = 135 kgs
on ball B is 1-5 of which is less than its weight 12 gf. 7. A piece of brass weighs 175 gf in air and 150 gf when
bile upthrust on ball A will be 15 gf if it is fully fully immersed in water. The density of water is
sebmaged, which is greater than its weight 12 gf, so it 1-0 g cm. (1) What is the volume of the brass piece?
will float with its that much part submerged for which () Why does the brass piece weigh less in water?
thrust becomes equal to its weight (=12 gf).
Ans. 1) 25 cm) due to uphrasi
4 A solid of density 5000 kg m weighs 0.5 kgf in air 8. A metal cube of edge 5 cm and density 90 g cm is
It is completely immersed in water of density suspended by a thread so as to be completely immersed
1000 kg m-. Calculate the apparent weight of the solid in a liquid of density 1-2 g cm. Find the tension in
Ans. 04 kgf
thread. (Take 3 = 10 ms?)
[Hint: Tension in thread = Apparent weight of the cube
Two spheres A and B. each of volume 100 cm
in liquid]
Ans. 9.75 N
are placed on water (density = 1-0 g cm-). The sphere A
is made of wood of density 0-3 g em and the sphere B is 9. A block of wood is floating on water with its
made of iron of density 8-9 g cm.
dimensions 50 cm x 50 cm x 50 cm inside water
Calculate the buoyant force acting on the block. Take
(a) Find : the weight of each sphere, and (ü) the
Ans. 1225 N
8 = 9.8 N kg
upthrust on each sphere.
PUA body of mass 3.5 kg displaces 1000 cm of water
(b) Which sphere will float? Give reason
when fully immersed inside it Calculate : 1) the
Ans.(a) (1) 4 - 30 gf. B - 890 gf, (*)A - 30 gf, B - 100 gf
volume of body, (i) the upthrust on body and (ii) the
(b) The sphere A will float
apparent weight of body in water
Ans. 1) 1000 cm (1) 1 kgf (mm) 25 kgf
Reason: The density of wood is less than the
density of water.
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