A body of mass 70 kg, when completely immersed in water, displaces 20,000 cm 3 of water. Find (i) the weight of body in water and (ii) the relative density of material of body.

Given, Mass of body = 70 kg Volume of water displaced = 20,000 cm 3 Converting cm 3 to m 3 , we get, 100 cm = 1m 100 cm x 100 cm x 100 cm = 1 m 3 Therefore, 20,000 cm 3 = x 20,000 = 0.02 m 3 Hence, volume of water displaced = 0.02 m 3 (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

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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

Related Questions

A piece of stone of mass 113 g sinks to the bottom in water contained in a measuring cylinder and water level in cylinder rises from 30 ml to 40 ml. Calculate R.D. of stone.

A body of volume 100 cm³ weighs 1 kgf in air. Find (i) it's weight in water and (ii) it's relative density.

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A solid weighs 32 gf in air and 28.8 gf in water. Find (i) the volume of solid, (ii) R.D. of solid, and (iii) the weight of solid in a liquid of density 0.9 g cm^-3.

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

Related Questions

A piece of stone of mass 113 g sinks to the bottom in water contained in a measuring cylinder and water level in cylinder rises from 30 ml to 40 ml. Calculate R.D. of stone.

A body of volume 100 cm3 weighs 1 kgf in air. Find (i) it's weight in water and (ii) it's relative density.

A solid weighs 120 gf in air and 105 gf when it is completely immersed in water. Calculate the relative density of solid.

A solid weighs 32 gf in air and 28.8 gf in water. Find (i) the volume of solid, (ii) R.D. of solid, and (iii) the weight of solid in a liquid of density 0.9 g cm-3.

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.

A body of volume 100 cm³ weighs 1 kgf in air. Find (i) it's weight in water and (ii) it's relative density.

A solid weighs 32 gf in air and 28.8 gf in water. Find (i) the volume of solid, (ii) R.D. of solid, and (iii) the weight of solid in a liquid of density 0.9 g cm^-3.