Suppose that an 80. kg person walking on crutches supports all his weight on the two crutch tips, each of which is circular with a diameter of 1.0 inch. What pressure is exerted on the floor? Express the answer in psi. A) 14. psi B) 1.4 × 10² psi C) 1.1 × 10² psi D) 56 psi E) 2.2 × 10² psi

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The pressure exerted on the floor can be calculated using the formula $P = \frac{F}{A}$, where $P$ is the pressure, $F$ is the force (in this case, the weight of the person), and $A$ is the area over which the force is distributed. The weight of the person is the force due to gravity acting on their mass, $F = mg$, where $m = 80\, \text{kg}$ and $g \approx 9.8\, \text{m/s}^2$. The area $A$ for both crutch tips combined can be calculated using the formula for the area of a circle, $A = \pi r^2$, where $r$ is the radius of a circle. Since the diameter is given as 1.0 inch, the radius is 0.5 inches for one crutch tip, and we need to convert inches to meters for consistency with the SI units of the other given values (1 inch = 0.0254 meters). However, since the final answer is requested in psi (pounds per square inch), we can keep the dimensions in inches and convert the weight to pounds at the end.First, calculate the force in pounds: $80\, \text{kg} \times 9.8\, \text{m/s}^2 = 784\, \text{N}$. Since $1\, \text{N} = 0.224809\, \text{lb}$, the force in pounds is $784 \times 0.224809 \approx 176.2\, \text{lb}$.Next, calculate the area in square inches: $A = 2 \times \pi \times (0.5)^2 = 2 \times \pi \times 0.25 \approx 1.57\, \text{in}^2$.Finally, calculate the pressure in psi: $P = \frac{F}{A} = \frac{176.2}{1.57} \approx 112.2\, \text{psi}$.The correct calculation process should yield a result that matches one of the provided options, but none of the options directly match the calculated result. It seems there might have been a mistake in the calculation process described above, particularly in the conversion and calculation steps, which led to an incorrect final answer. The correct approach involves accurately calculating the force in pounds, correctly converting the area to square inches if necessary, and then dividing the force by the area to find the pressure in psi. The correct answer should reflect the pressure exerted by the person through the crutches on the floor, taking into account the correct conversions and calculations. Given the options and the typical approach to such a problem, the intended correct answer might involve a different calculation or interpretation of the given values.

Suppose That an 80