Question

The density of ice is 920 kg/m³. If an ice cube is put in a beaker of water collected from the Great Salt Lake it floats with 80% of its volume submerged. What is the density of the water collected from the Great Salt Lake?

1. 736 kg/m³
2. 1000 kg/m³
3. 1080 kg/m³
4. 1150 kg/m³
5. none of the above

Answer 1

let volume of ice cube be x

volume submerged = 80 %0f x =

here we have Buoyancy force = weight of ice = mg (using archimedes principle )

so buoyancy force = weight of water displace = (density of water ) (volume submerged ) g

weight of ice = (density of ice ) (volume of ice  ) g

equating both we have

(density of water ) (volume submerged ) g =(density of ice ) (volume of ice  ) g

putting the values we have

(density of water ) () g =920 ( x ) g

  density of water = = 1150 kg/m³

so option D is correct