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.
Fluids Upthrust
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Question

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.

KnowledgeBoat · Accepted Answer

Given, Mass of body = 70 kg Volume of water displaced = 20,000 cm³ Converting cm³ to m³, we get, 100 cm = 1m 100 cm x 100 cm x 100 cm = 1 m³ Therefore, 20,000 cm³ = x 20,000 = 0.02 m³ Hence, volume of water displaced = 0.02 m³ (i) Mass of body immersed in water = mass of the water displaced = volume of water displaced x density of water = 0.02 x 1000 = 20 kg Weight of the body = mg = 70 x g = 70 kgf Weight of water displaced = mg = 20 x g = 20 kgf Weight of body in water = weight of body in air - upthrust due to liquid = 70 kgf - 20 kgf [ upthrust is equal to weight of water displaced] = 50 kgf (ii) Formula for density is: Therefore, Relative density of body = 3.5

Physics

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.

Fluids Upthrust

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