You are provided with a hollow ball A of volume 15cm^3 and mass 12 grams .Both are placed on the surface of water contained in a large tub .find upthrust on each ball and which ball will sink ?
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A block of wood floats in water with 2/3 of its volume submerged it means 1/3rd of it's volume is above the water.
Let v be the volume of the object. And be its density. So, weight of the object, w = vg
Volume of water displaced = v -1/3 v = 2/3 v
Density of water = 1 g/cc
Weight of water displaced = (2/3 v) × 1 × g
By the law of floatation,
Weight of the object = weight of water displaced
= > vg = 2/3 vg
= > = 2/3 g/cc
Thus, the relative density of the object is = (2/3)/1 = 2/3
Let v be the volume of the object. And be its density. So, weight of the object, w = vg
Volume of water displaced = v -1/3 v = 2/3 v
Density of water = 1 g/cc
Weight of water displaced = (2/3 v) × 1 × g
By the law of floatation,
Weight of the object = weight of water displaced
= > vg = 2/3 vg
= > = 2/3 g/cc
Thus, the relative density of the object is = (2/3)/1 = 2/3
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