Taking the length of one ski equal to 1.5 m and a width of 8 cm, determine the pressure exerted

Taking the length of one ski equal to 1.5 m and a width of 8 cm, determine the pressure exerted on the snow by a boy weighing 50 kg. Will he be able to ski on ice that can withstand a pressure of 1700Pa?

l = 1.5 m.

a = 8 cm = 0.08 m.

g = 10 m / s2.

m = 50 kg.

n = 2.

Pmax = 1700 Pa.

R – ?

Pressure P is the ratio of the force F to the area S on which this force acts: P = F / S.

The boy acts on the snow by the force of his weight: F = m * g.

The area S covered by the boy’s weight can be expressed by the formula: S = n * S1, where S1 is the area of one ski.

S1 = a * l.

P = m * g / n * a * l.

P = 50 kg * 10 m / s2 / 2 * 0.08 m * 1.5 m = 2083 Pa.

Since the boy’s pressure on the snow is P = 2083 Pa, more than the maximum pressure Pmax = 1700 Pa, which the ice can withstand, he will not be able to ride on the ice.

Answer: P = 2083 Pa.