Regelation: Wire and Ice Relationship?

[Pawnag3]

Hi, I'm not sure if this is in the right place, so sorry if it isn't.
So basically, I need to figure out a hypothesis to find out the relationship between force (or pressure) and velocity when a wire moves through ice. I am having difficultly finding the right formula(s) to find the expected relationship.
If I wasn't clear enough, I am planning to hang masses to both sides of a wire, have the wire pass through the ice, and for the ice to refreeze again. I will be calculating the velocity of the "wire" as it passes through the ice when I change the masses.

Homework Equations

What I thought of using were several formulas and combine them together. I also did some research and here is what I got:
Work = Change in energy = Force * Distance
Pressure = Force/Area
PV=nRT
Q=mL (Latent heat)
Q= Work + U (internal energy change)

The Attempt at a Solution

Here is one of my attempts, I'm not sure if it's even valid:
P = Force / Area = W/V (Energy(work) / Volume)
P = (1/2mv^2) / Volume
F/A = (1/2mv^2) / Volume
Therefore, as the mass increases by "x", the velocity increases by "x^2".
Is this a valid response? Would it work? Also, is there any way that I can input latent heat into the formulas?

Thanks in advance!

 

[jbsteele]

Yes, your attempt is valid. To include latent heat into the formulas, you can use the equation Q=mL, where m is the mass of the ice and L is the latent heat of fusion of the ice. Then, you can substitute this into the equation Q=Work+U (internal energy change) to get the relationship between force, velocity and latent heat.