The fraction of a floating object of volume v0 and density d0 above the surface of a liquid of density d will be
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● Answer: 1 - d0/d
● Explanation-
Let V0 be volume of the object and V be that for immersed part.
For an object to float-
Buoyanct force by immersed object = Weight of object
d.V.g = d0.V0.g
V = d0.V0/d
Volume of object outside water-
V' = V0 - V
V' = V0 - V0.d0/d
V' = V0 (1-d0/d)
Fraction of outside part to total volume-
V' / V0 = V0(1-d0/d) / V0
V' / V0 = 1 - d0/d
Fraction of floating part to overall volume is 1-d0/d.
Hope that is helpful...
● Answer: 1 - d0/d
● Explanation-
Let V0 be volume of the object and V be that for immersed part.
For an object to float-
Buoyanct force by immersed object = Weight of object
d.V.g = d0.V0.g
V = d0.V0/d
Volume of object outside water-
V' = V0 - V
V' = V0 - V0.d0/d
V' = V0 (1-d0/d)
Fraction of outside part to total volume-
V' / V0 = V0(1-d0/d) / V0
V' / V0 = 1 - d0/d
Fraction of floating part to overall volume is 1-d0/d.
Hope that is helpful...
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