Why ice berg float on water?

 

Q)What is upthrust due to liquid? what is the relation between density of liquid and upthrust.

Answer:

The resultant force of liquid acting in upward direction to the body when it is partially or completely immersed in a liquid is called upthrust. Upthrust applied by the liquid is directly proportional to the density of the liquid.

Q)Why Ice berg float on water?

The density of an iceberg is 0.92 g/cm^3 is less than the density of water 1g/cm^3. Since density is directly proportional to the upthrust. So the upthrust produce by an water is greater than the upthrust produce by ice. Hence , ice berg float on water.

Q) A rectangular body is dipped in water as shown in the figure .The upper surface area of it is 2 meter sq. Find out the upthrust acted on it due to the water.( the density of water is considered as 1000 kg/m^3).

Answer:

     

 

 Here , the Area of rectangular body (A) = 2 meter sq.

Depth of upper surface of the body in liquid (h') = 2 m

Depth of the lower surface of the body in liquid (h'') = 6 m

Density of water (d) = 1000 kg/m^3

Acceleration due to gravity = 9.8 m/s^2

We have, upthrust = Vdg

                                   = A x h x d x g

                                 = A x d x g x (h' - h'')

                                 = 2 x 100 x 9.8(6 - 2)

                                 = 2 x 1000 x 9.8 x 4

                                 = 78400 N

Hence, the upthrust acted on the rectangular body is 78400 N.

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