The density of ice is 917 kg/m^3. what fraction of the volume of a piece of ice will be above water, when floating in fresh water?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

When a body is placed in a fluid, there is an upward force exerted on the body that is equal to the weight of the fluid displaced by it as it sinks into the fluid. When this force is equal to the weight of the body the net downward force acting on the body is zero and it starts to float in the fluid.

The block of ice that is placed on water has a density of 917 kg/m^3. The density of water is 1000 kg/m^3. If a fraction f of the volume V of the ice block is submerged in the water, f*V*1000*9.8 = (1 - f)*V*917*9.8

This gives f = 917/1000 = 0.917. The fraction of the block that is above the water is 1 - 0.917 = 0.083

The fraction of the ice block that floats above the water level is 0.083

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial