To calculate the pressure applied to the ground by the person's feet, you can use the formula:
\[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \]
In this case, the force is the weight of the person, which can be calculated using the formula:
\[ \text{Force} = \text{mass} \times \text{gravity} \]
Assuming standard gravity (approximately \(9.81 , \text{m/s}^2\)):
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Calculate the weight (force): \[ \text{Force} = 55 , \text{kg} \times 9.81 , \text{m/s}^2 = 539.55 , \text{N} \]
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Convert the area from cm² to m²: \[ 500 , \text{cm}^2 = 500 \times 10^{-4} , \text{m}^2 = 0.05 , \text{m}^2 \]
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Now, calculate the pressure: \[ \text{Pressure} = \frac{539.55 , \text{N}}{0.05 , \text{m}^2} = 10,791 , \text{Pa} \]
Rounding this to a suitable number of significant figures gives approximately \(10,780 , \text{Pa}\).
So the correct answer is:
10,780 Pa
1 answer