Calculate the pressure exerted on the ground due to the weight of a 79-kg person standing on one foot. if the bottom of the person's foot is 13 cm wide and 28 cm long.
A) $2.1 \times 10 ^ { 4 } \mathrm {~Pa}$
B) $4.8 \times 10 ^ { 4 } \mathrm {~Pa}$
C) $5.3 \times 10 ^ { 4 } \mathrm {~Pa}$
D) $2.2 \times 10 ^ { 3 } \mathrm {~Pa}$

Question

Calculate the pressure exerted on the ground due to the weight of a 79-kg person standing on one foot. if the bottom of the person's foot is  13 cm wide and  28 cm long.
A) $2.1 \times 10 ^ { 4 } \mathrm {~Pa}$
B) $4.8 \times 10 ^ { 4 } \mathrm {~Pa}$
C) $5.3 \times 10 ^ { 4 } \mathrm {~Pa}$
D) $2.2 \times 10 ^ { 3 } \mathrm {~Pa}$

Quizplus · Accepted Answer

Pressure is calculated using the formula $P = \frac{F}{A}$, where $P$ is pressure, $F$ is force (in this case, weight), and $A$ is area. The weight of the person is the force exerted on the ground, calculated as $mg$, where $m = 79 \, \text{kg}$ and $g = 9.8 \, \text{m/s}^2$. The area of the foot in contact with the ground is $13 \, \text{cm} \times 28 \, \text{cm} = 364 \, \text{cm}^2 = 0.0364 \, \text{m}^2$. Thus, $P = \frac{79 \times 9.8}{0.0364} \approx 2.1 \times 10^4 \, \text{Pa}$.

Calculate the Pressure Exerted on the Ground Due to the Weight