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A body of mass 3.5 kg displaces 1000 cm3 of water when fully immersed inside it. Calculate (i) the volume of body, (ii) the upthrust on body and (iii) the apparent weight of body in water.

Fluids Upthrust

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Answer

Given,

Mass = 3.5 kg

Therefore, weight = 3.5 kgf

Volume of displaced water = 1000 cm3

(i) Volume of body = volume of the water displaced = 1000 cm3

Hence, the volume of body = 1000 cm3

(ii) Upthrust on body = volume of the body x density of water x g
= 1000 x 0.001 x g
= 1 kgf

(iii) The apparent weight of body in water = true weight – upthrust
= 3.5 - 1
= 2.5 kgf

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