an's skis are 1.60 m long, and 0.10 m wide. The combined mass of Jan and her ski gear is 80 kg (weight = 784 N). What pressure does she exert when standing up on both feet?
Question
an's skis are 1.60 m long, and 0.10 m wide. The combined mass of Jan and her ski gear is 80 kg (weight = 784 N). What pressure does she exert when standing up on both feet?
Solution
To calculate the pressure exerted by Jan on her skis, we need to use the formula for pressure:
Pressure = Force / Area
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First, we need to calculate the area of the skis. Since both skis are the same size, we can calculate the area of one ski and then multiply by 2. The area of a rectangle (which is the shape of a ski) is length times width. So, the area of one ski is 1.60 m * 0.10 m = 0.16 m². Therefore, the total area of both skis is 0.16 m² * 2 = 0.32 m².
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The force exerted by Jan on her skis is equal to her weight, which is 784 N.
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Now we can calculate the pressure. Pressure = Force / Area = 784 N / 0.32 m² = 2450 N/m² or Pascals (Pa).
So, Jan exerts a pressure of 2450 Pa when standing up on both feet.
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