A wooden block weighing 1.5 N in air is floating in water. A vertical force of 1 N is required to push it
inside the water and submerge it completely.
(i) What is the upthrust experienced by the block when completely immersed in water?
(ii) What is the relative density of the wood?
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Volume of the block immersed in water (v) = 2/3 x net volume (V)
Volume of the block immersed in oil (v) = ¾ x total volume (V)
Let density of wood = ρw g cm-3
Let density of oil = ρo g cm-3
As per the law of floatation;
=
Density of wood
density of water
2
3
=
1000
Density of wood = 1000 x 2/3 = 667 kg m-3
As per the law of floatation,
=
Density of wood
ensity of oil
3
4
=
667
density of oil
density of oil = 889.3 kg m-3
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