What pressure does an 80kg skier put on the snow if each ski is 1.95m long and 10cm wide?
| September 11, 2021 | education
l = 1.95 m.
a = 10 cm = 0.1 m.
m = 80 kg.
g = 9.8 m / s2.
P -?
Pressure P is the ratio of the force F with which the skier presses on the snow to the area S over which this force is distributed: P = F / S.
The skier presses on the snow with the force of his weight. We express the weight of the skier F by the formula: F = m * g, where m is the mass of the skier, g is the acceleration of gravity.
The surface of the ski, which is in contact with the snow, will have a rectangular shape: S1 = a * l, therefore the area of contact S of the skier with the snow will be determined by the formula: S = 2 * S1 = 2 * a * l.
P = m * g / 2 * a * l.
P = 80 kg * 9.8 m / s2 / 2 * 0.1 m * 1.95 m = 2010 Pa.
Answer: the skier puts pressure on the snow P = 2010 Pa.
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