Why doesn’t a person skiing fall into the snow?

Whether a person fails or not depends on the pressure he creates on the snow cover. The pressure is calculated by the formula P = F / S, where P is the pressure, F is the weight of the person, S is the area over which the weight of the person is distributed. With a constant weight of a person, an increase in the area of contact with the snow surface leads to a decrease in pressure. The area of the ski’s working surface is much larger than the area of the sole of the shoe, so the pressure that a person creates on skis is small and he does not fall through.