Calculate the pressure exerted on the ground due to the weight of $\text { a } 79 - \mathrm { kg }$ person standing on one foot. if the bottom of the person's foot is $13 \mathrm {~cm}$ wide and $28 \mathrm {~cm}$ long. A)2.1 × 10⁴ Pa B)2.2 × 10³ Pa C)4.8 × 10⁴ Pa D)5.3 × 10⁴ Pa

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Quizplus · Accepted Answer

The pressure is calculated using the formula $ P = \frac{F}{A} $, where $ F $ is the force (weight of the person) and $ A $ is the area of the foot. The weight $ F = mg = 79 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 774.2 \, \text{N} $. The area $ A = 0.13 \, \text{m} \times 0.28 \, \text{m} = 0.0364 \, \text{m}^2 $. Thus, $ P = \frac{774.2}{0.0364} \approx 2.1 \times 10^4 \, \text{Pa} $.

Calculate the Pressure Exerted on the Ground Due to the Weight