A skier weighing 40 kg exerts a pressure of 280 Pa. What is the ski area?

As you know, the pressure exerted by an object is directly proportional to the force and inversely proportional to the area on which it is located.

Therefore, you can write down the formula:

p = F / S.

The force with which the skier acts on the ski surface is equal to:

F = m * g, where m is the mass of the skier, g = 9.8 m / s ^ 2.

Now let’s substitute the formula:

p = m * g / S.

Let us express the area from this formula:

S = m * g / p.

Let’s substitute the available data:

S = 40 kg * 9.8 m / s ^ 2/280 Pa = 1.4 m ^ 2.

Answer: The ski area is 1.4 m ^ 2.