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A body of volume 100cm3 weighs 5kgf in air. It is completely immersed in a liquid of

density 1.8 x 103 kg m-3, find: (i) the upthrust due to liquid and (ii) the weight of the body in liquid

Answer:

Weight of the body in air = 5kgf

The volume of the body =100cm3

Density of the liquid = 1.8 x 103 kgm-3

(i)Upthrust due to liquid = volume of the solid x density of fluid x acceleration due to gravity

= 100 x 10-1 x 1.8 x 10-2 x g

= 0.18kgf

(ii)weight of the body in liquid = weight of the body in air – upthrust

= 5kgf – 0.18 kgf

= 4.82 kgf

"hello students welcome to leader
learning
this is ashwini i teach science at lado
so here in this question we have a body
of volume 100 centimeter cube
weighs 5 kgf in air it is completely
immersed in a liquid
of density 1.8 multiplied by tendous
power 3
kg per cubic meter find the up thirst
due to the liquid
and the weight of the body in liquid so
here the weight of the body in
air is given that is 5 kgf the volume of
the body is 100 centimeter cube
and the density of liquid is also given
that is 1.8 multiplied by 10 square 3
kg per cubic meter so here the
density is in meter per cubic meter
so we have to convert this volume of
body from centimeter to meter
so here volume of body is equals to 100
centimeter cubic
right so we can convert it as
it is 100 multiplied by
10 raised power 6.
so for the meters we can write it as
10 power minus 4 meter
cube now if i'm talking about the first
part
to calculate the up thirst due to the
liquid
so here up thirst is equals to
volume of solid
volume of solid
multiplied by density of fluid
okay here i am writing it as density of
fluid
multiplied by acceleration due to
gravity that is represented by g
so i am putting the values here that is
10 raised power minus 4 as we convert it
in the meter cube
multiplied by density is given 1.8
multiplied by 10 is power 3
and the acceleration due to gravity is
we can write it as g okay so
here we got the answer that is
0.18
g newton now
if i'm talking about to convert it in
kgf
so it is 0.18
kgf
so if i'm talking about the second part
here
okay the second part constitute the
weight of the body in liquid
so here the second part the weight of
the body is equals to
weight of body
is equals to weight of body in
air body
in air minus
the up thrust
okay so here i'm putting the values for
the weight of the body in air is given
that is 5 kgf
minus the up thrust as we have
calculated it it is 0.1
kgf so here we got the values
that is 4.82
kgf is the weight of the body in liquid
so i hope everything is clear to you if
you have any doubts then please put it
down in the comment section
for more such video solutions please
subscribe leader learning thank you"

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