Physics Upthrust in Fluids Numerical5c
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Q1 A rubber ball floats on water with its 1/3rd volume outside water. What is the density of rubber?
Solution :
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Q2 A block of wood of mass 24kg floats on water. The volume of wood is 0.032 m3 . Find:
(a) The volume of block below the surface of water,
(b) The density of wood.
(density of water = 1000 kg m-3 )
Solution :
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Q3 A wooden cube of side 10cm has mass 700g. What part of it remains above the water surface while floating vertically on the water surface?
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Q4 A piece of wax floats on brine. What fractions of its volume is immersed? Density of wax = 0.95 g cm-3 , density of brine = 1.1 gcm3
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Q5 If the density of ice is 0.9 g cm-3 , what portion of an iceberg will remain below the surface of water in a sea? (Density of sea water = 1.1 g cm-3 )
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Q6 A piece of wood of uniform cross section and height 15cm floats vertically with its height 10cm in water and 12cm in spirit. Find the density of (i) wood and (ii) spirit.
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Q7 A wooden block floats in water with two-third of its volume submerged. (a) Calculate the density of wood. (b) When the same block is placed on oil, three-quarter of its volume is immersed in oil. Calculate the density of oil.
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Q8 The density of ice is 0.92 g cm-3 and that of sea water is 1.025 g cm-3 . Find the total volume of an ice berg which floats with its volume 800 cm3 above water.
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Q9 A weather forecasting plastic balloon of volume 15m3 contains hydrogen of density 0.09kg m-3 . The volume of an equipment carried by the balloon is negligible compared to its own volume. The mass of empty balloon alone is 7.15kg. The balloon is floating in air of density 1.3 kg m-3 . Calculate : (i) the mass of hydrogen in the balloon, (ii) the mass of hydrogen and balloon, (iii) the total mass of hydrogen, balloon and equipment if the mass of equipment is x kg, (iv) the mass of air displaced by balloon and (v) the mass of equipment using the law of floatation.
Solution :
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