Physics

A body weighs 450 gf in air and 310 gf when completely immersed in water.

Find —

(i) the volume of the body,

(ii) the loss in weight of the body, and

(iii) the upthrust on the body.

State the assumption made in part (i).

Fluids Upthrust

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Answer

(i) Volume of the body = density of water x loss in weight

density of water = 1 g cm-3

Given,

weight in air = 450 kgf

weight in water = 310 kgf

loss in weight = 450 – 310 = 140 gf

Substituting the values in the formula above, we get,

Volume of the body = 1 x 140 = 140 cm3

(ii) Loss in weight = 140 gf

(iii) Upthrust = loss in weight = 140 gf

Assumption in part (i) — density of water = 1.0 g cm-3

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