High School

A skier is standing still on a flat area of snow. The weight of the skier is 550 N. The total area of his skis in contact with the ground is 0.015 m².

What is the pressure exerted on the ground by the skier?

A. 3700 N/m²
B. 37,000 N/m²
C. 8.3 N/m²
D. 0.83 N/m²

Answer :

Final answer:

The pressure exerted on the ground by the skier is 37,000 N/m^2.

Explanation:

The pressure exerted by the skier on the ground can be calculated using the formula:

Pressure = Force / Area

Given that the weight of the skier is 550 N and the area of the skis in contact with the ground is 0.015 m2, we can substitute these values into the formula:

Pressure = 550 N / 0.015 m2 = 37,000 N/m2

Therefore, the pressure exerted on the ground by the skier is 37,000 N/m2.

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  • Force=550N
  • Area=0.015m^2

We know

[tex]\boxed{\sf Pressure=\dfrac{Force}{Area}}[/tex]

[tex]\\ \sf\longmapsto Pressure=\dfrac{550}{0.015}[/tex]

[tex]\\ \sf\longmapsto Pressure=36666Pa[/tex]

[tex]\\ \sf\longmapsto Pressure=36666N/m^2[/tex]

Most nearest value is 37000N/m^2

Hence option b is correct