The pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
What is pressure?
The force applied perpendicular to an object's surface per unit area across which that force is spread is known as pressure.
[tex]P= \dfrac{W}{A}[/tex]
As it is given that the pressure is inversely proportional to the area of the footwear. Therefore, the relation can be written as,
[tex]P\propto \dfrac{1}{A}\\[/tex]
Now, introducing a constant to remove the proportionality symbol, w that is the weight of the person, therefore,
[tex]P= \dfrac{W}{A}[/tex]
Now, as the area of the shoe is 60in², the pressure on the snow is 0.43 pounds per square inch. Therefore, the value of w can be written as,
[tex]0.43= \dfrac{W}{60}\\\\W = 25.8\rm\ pounds[/tex]
Now, the pressure on the snow if the area of the footwear is 400 in².
[tex]P= \dfrac{W}{A}\\\\P= \dfrac{25.8}{400}\\\\P = 0.0645 \rm\ pounds\ per\ inch^2[/tex]
Hence, the pressure on the snow if the area of the footwear is 400 in² is 0.0645 pounds per square inch.
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