CBSE Class 9 Answered
a boat floats in water with 2/5th of in=ts volume outside water. If the density of water is 1000 kgm the density of the boat of material is ?
Asked by | 30 Nov, 2013, 12:21: PM
Expert Answer
Let, volume of boat = V
density of boat = ρ
mass of boat = M
Density of water = ρw = 1000 kg/m3
Volume of the boat immersed in water = V' = V – 2V/5 = 3V/5
mass M = density x volume = ρ.V
According to Archemedes Principle,
Buoyant force = volume displaced x density of fluid x g
= V' x ρw x g
Weight of the body is balanced by the buoyant force.
Weight of the displaced water = Buoyant force
mg = V' x ρw x g
(ρ.V)g = 3V/5 x ρw x g
ρ = 3/5 x ρw
= 3/5 x 1000
= 600 kg/m3
As the density of boat is less than that of water, boat is floating on water.
Answered by Komal Parmar | 30 Nov, 2013, 04:37: PM
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