How many times is the pressure of a person on skates greater than the pressure of a person on skis?

| February 6, 2021 | education

How many times is the pressure of a person on skates greater than the pressure of a person on skis? The length of the skate blade is L1 = 40 cm, its width is h1 = 0.5 cm. The length of the ski is L2 = 2 m, its width is h2 = 10 cm.

Given:

L1 = 40 centimeters = 0.4 meters – length of the skate blade;

h1 = 0.5 centimeters = 0.005 meters – blade width of the skates;

L2 = 2 meters – ski length;

h2 = 10 centimeters = 0.1 meters – ski width.

It is required to determine P1 / P2 – how many times the pressure of a person standing on skates is greater than that of a person standing on skis.

Let the person press with some force F. Then his pressure on the skates is equal to:

P1 = F / S1 = F / (L1 * h1) – where S1 is the base area of ​​the skates.

The pressure of a person on skis will be equal to:

P2 = F / S2 = F / (L2 * h2) – where S2 is the ski surface area.

Then:

P1 / P2 = (F / (L1 * h1)) / (F / (L2 * h2)) = (F * L2 * h2) / (F * L1 * h1) = L2 * h2 / (L1 * h1) = 2 * 0.1 / (0.4 * 0.005) = 0.2 / 0.002 = 100 times.

Answer: the pressure of a person on skates will be 100 times more than on skis.



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