I'd tried to get a rough estimate of the equilibrium forces on a board in the past, but with 4 forces,
1. Back foot
2. Front foot
3. Mast foot pressure
4 Hydrodynamic lift
there's just two many combinations that might give an equilibrium.
(gravity is a fifth force on the board but the c of g is so close to the mast foot we can combine those two into one)
And I've left out aerodynamic lift from the board because I'm playing devil's advocate on that one.
But a recent photo in seabreeze showed that with reasonable skill you can sail with the front foot free. Therefore I assume it must only be used for minor trim and we can neglect the force it applies. With 3 forces the whole lot becomes much easier.
I'd read somewhere on the internet (great reference

) that the hydrodynamic force on a planing hull is concentrated very much towards the leading wet edge. This makes sense, parcels of water are just seeing a flat ramp. Once the initial change of direction has taken place, at the leading edge, the ride to the trailing edge is easy. Just as if the suspension on a car survives the hit of the leading edge of a flat ramp jump the rest is easy.
So I've put the centre of hydrodynamic lift between the rear foot and the mast track.
With the centre of hydrodynamic lift that bit further forward than we might imagine, we can see that the vertical components of all the forces on the board can be balanced in translation and moments if the weight is distributed equally between mast track and the back foot.
So that's about 40kg of downward pressure by the back foot and 40kg of downward mastfoot pressure, 80kg of hull lift right between them. (This is only the vertical component of force at these 3 points, but they still must balance. I've subtracted 10kg out of the equation for sail lift).
But 40 kg is a pretty easy job for one leg, ( OK, the lateral fin reaction makes that sqrt (40^2 + 30^2) = 50kg) , but just walking about requires 80 kg every second step, so I'd say it's easy to get the impression you're floating along. Mind you after trying to go flat out for a Nautical mile on one tack the back leg gets a bit tired.
Any nose lift would relieve the back foot of more pressure, but I don't think it is needed to explain the lightweight feeling.