Simon Bridge said:
3) the bottle hits the wall and almost instantly stops
4) but the wine continues to flow forward (like someone in a car), hits the bottom of the bottle and rebounds, hits the cork and pushes it out a bit
The proof of the pudding is in being able to calculate the force on the cork, F. This force should exceed the maximum friction, F
max, which is something like 200 N. F is presumably the same as when letting the bottle fall neck-down with a pvc-pipe around the neck of the bottle (the pipe serves to stop the bottle before the cork would hit the ground). That force is
F = m•Δv/Δt = Δv•(2/π)•√(m•k)
where m = ρ•A•h (ρ is the density of water, A the cross sectional area of the cork, h the height of the fluid column pushing against the cork),
Δv is equal to the velocity of the bottle just before impact,
Δt is the deceleration time due to the cushion at the target, Δt = (π/2)•√(m/k)
k = spring constant of the cushion.
The volume of the air bubble does not appear in the formula. Apparently that volume does not matter for the onset of cork motion. Nor does the shape of the bottle matter.
Right?