If you submerge a 3cm cube of ice in cup of water, with what force

[kthejohnster]

Homework Statement

If you submerge a 3cm cube of ice in cup of water, with what force will the ice float up to the surface

Homework Equations

ρgV, F=ma, ρgh

The Attempt at a Solution

I thought to draw free body diagram of vertical forces with mg of ice cube and ρ^icegAh_{top surface} as negative forces and positive buoyant force of ρ_waterg(h_{top surface}+.03cm)A summing to F_net.
End up getting ρ_watergV-ρ_icegV=F
I just want to make sure I got the right densities in right places, in other words when do you use the density of water and when do you use the density of ice?

 

[ehild]

End up getting ρ_watergV-ρ_icegV=F

It is correct.

ehild