An athlete weighing 78 kg stands on skis. Each ski is 1.95 m long and 8 cm wide. How much pressure does the athlete put on the snow?
Let us give the values from given in the SI system:
b = 8 cm = 0.08 m.
The expression for determining the body pressure on the plane is:
P = F / S, where F is the force of pressure on the plane, S is the area of the plane.
In our case, the force of pressure is the weight of the athlete:
F = m * g
Area of one ski:
S1 = l * b
Support area, since the athlete has 2 skis:
S = 2 * S1
After putting these expressions in the pressure formula, we get:
P = m * g / (2 * l * b)
Substitute the numerical values:
P = 78 * 9.8 / (2 * 1.95 * 0.08) = 2450 Pa.
Answer: the athlete’s pressure on the snow is 2450 Pa or 2.45 kPa.
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