IIT JEE , AIEEE Forum - Physics , Mechanics

anil_direct

I wanted the solution of H C Verma, Fluid Mechanics.

Question No is 12.

edison

please take a trouble of writing problem instead of giving references, as the sequence of problems in a book differs depending on the its edition.

However ur problem is illustrated as follows:

mass of boat = 50Kg

volume of the boat = 1 cubic meter

To find fraction of the volume of the boat immersed in water

we make use of Buoyancy principle

buoyant force = wt. of the boat

(mass of volume of the water displaced) * g= 50*g

1000*V = 50

here density of water is 1000kg/m^3

therefore V = 1/20

so fraction of volume of boat immersed in water = 1/20

neeraj

Sol

The weight of ferry boat is balanced by the buoyant force. The buoyant force is equal to the wt. of water displaced.

If volume v of the cube is inside the water the wt. of displaced water = v r g

Where r is density of water

v r g = 50 g

v = 50 / r = 50 / 100

= 1/ 20 m ³ Ans

(b)

Total volume = 1 m ³

Fraction of boat volume remaining out = Total Volume

- Volume of the

cube inside the

Water

= 1 - 1 / 20

= 19 / 20 m ³ Ans