a body of mass 70 kg, when completely immersed in water,displaces 20,000 cm3 of water. find : (i) the weight of body in water and (ii) the relative density of material of body.
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Explanation:
Apparent weight of the body observed in water = Weight of body - Bouyancy Force
Bouyancy force = Vol. of object*Density of liq.* acceleration due to gravity
20,000 cc = .02 m³ of water
According to archimedes principle volume of object equals the volume of water displaced by it.
Hence Bouyancy = .02*1000*10 = 200N
Weight of body in air = 70*10= 700N
Hence Apparent weight = 700-200 = 500N
Relative Density of Material of body = 70/.02 = 7000/2 = 3500 kg/m³
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