Withstands a pressure of 2.6 kPa, a skier is moving through the snow. length of each ski 1.95 width 6 cm. What is the maximum permissible weight of a skier?
P = 2.6 kPa = 2600 Pa.
l = 1.95 m.
a = 6 cm = 0.06 m.
g = 9.8 m / s ^ 2.
Pressure P is determined by the formula: P = F / S, where F is the force, S is the area on which this force acts.
The gravity force F = m * g acts on the skier.
The area of action of gravity will be the area of contact of two skis with the snow: S = 2 * l * a.
P = m * g / 2 * l * a.
m = 2 * l * a * P / g.
m = 2 * 1.95 m * 0.06 m * 2600 Pa / 9.8 m / s ^ 2 = 62 kg.
Answer: the maximum permissible mass of a skier m = 62 kg with a larger mass of skis will fall through the snow.
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