Determine the pressure that a 100 kg person will exert on the snow while standing on skis.

Determine the pressure that a 100 kg person will exert on the snow while standing on skis. Each ski is 150 cm long and 12 cm wide.

m = 100 kg.

g = 9.8 m / s2.

L = 150cm = 1.5m.

a = 12 cm = 0.12 m.

P -?

Pressure P is the ratio of the force F with which the body presses on the surface to the area of ​​this surface S: P = F / S.

The skier presses on the snow with the force of his weight F, the value of which is found by the formula: F = m * g.

Since the skier is on two skis, the area S covered by the weight F can be expressed by the formula: S = 2 * S1, where S1 is the area of ​​contact of one ski with the snow.

The shape of the contact area of ​​the ski with the snow will be considered rectangular, therefore S1 = a * L, where a is the width of the ski, L is the length of the ski.

P = m * g / 2 * a * L.

P = 100 kg * 9.8 m / s2 / 2 * 0.12 m * 1.5 m = 2722 Pa.

Answer: a person puts pressure on the snow P = 2722 Pa.