(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A pure ice cube sits in water, floating. Prove that the water level will not change after the ice cube melts (meaning, the volume displaced by the cube will equal the volume of water added once the cube is melted).

density of water = 1000 kg / m^3

density of ice = 920 kg / m^3

2. Relevant equations

D = m/V F(net) = mg - pVg

3. The attempt at a solution

F(net on the cube) = mg - pVg D = m / V

mg = pVg D * V = m(water afterwards)

m = p (V) (920/1000) * V = m(water after melting)

m = (920/1000) V .92 * V = mass (water after melting)

m (submerged cube) = .92 V

Thus, m(submerged cube) = m(water after melting)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Fluid mechanics - ice melting into water

**Physics Forums | Science Articles, Homework Help, Discussion**