Skier weight 60 kg. What pressure does it put on the snow if each ski is 1.5 m long and 10 cm wide?

m = 60 kg.
g = 10 m / s2.
l = 1.5 m.
a = 10 cm = 0.1 m.
P -?
Pressure P is the ratio of the force F to the area S, on which this force acts: P = F / S.
The skier presses on the snow with the force F of his weight, the value of which is determined by the formula: F = m * g, where m is the skier’s mass, g is the acceleration of gravity.
The skier’s weight acts on the contact surface of the two skis with the snow. We will assume that the area of contact between skis and snow is rectangular: S = 2 * S1 = 2 * l * a.
P = m * g / 2 * l * a.
P = 60 kg * 10 m / s2 / 2 * 1.5 m * 0.1 m = 2000 Pa.
Answer: the skier’s pressure is P = 2000 Pa.



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