# What pressure does a 90 kg skier exert on the snow if each ski is 2 m long and 12 cm wide?

September 29, 2021 | education

| The pressure that the skier’s mass exerts on the snow:

P = F / S, where F is the force acting on the snow (Ft = F = m * g, where m is the mass of the skier (m = 90 kg), g is the acceleration of gravity (we assume g = 10 m / s2)), S is the area of the supporting surface of two skis (S = 2 * a * b, where a is the length of the ski (a = 2 m), b is the width of the ski (b = 12 cm = 0.12 m)).

Let’s calculate the pressure on the snow:

P = m * g / (2 * a * b) = 90 * 10 / (2 * 2 * 0.12) = 900 / 0.48 = 1875 Pa.

Answer: The skier puts pressure on the snow at 1875 Pa.