Determine the pressure of the skier on the snow, if the weight of the skier is 72 kg, the length

Determine the pressure of the skier on the snow, if the weight of the skier is 72 kg, the length of the ski is 2 m, the width is 10 cm.

m = 72 kg.

g = 10 N / m.

L = 2 m.

a = 10 cm = 0.1 m.

P -?

P = F / S – determination of force pressure.

We express the weight of the skier by the formula: F = m * g, where m is the mass of the skier, g is the acceleration of gravity.

The area S, on which the skier acts with his weight, can be found by the formula: S = 2 * S1

We will assume that the area of contact between the ski and the snow is rectangular, therefore: S1 = a * L.

The formula that determines the pressure of the skier will be: P = m * g / 2 * a * L.

P = 72 kg * 10 N / m / 2 * 0.1 m * 2 m = 18000 Pa.

Answer: the skier presses on the snow with a pressure of P = 18000 Pa.