anonymous
  • anonymous
Open Solution Problem;Soft snow can be compressed by pressure about 3.0 ×10^3 Pa. What is the smallest area that a pair of snowshoes must have if they will enable a 80 kg person to walk over the snow without sinking in? Consider g = 9.8 m/s2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The first person who gets it earns a medal and fan
anonymous
  • anonymous
First you have to consider the ?Newtonian force acting on the ground. This is caculated using Mg
anonymous
  • anonymous
And use the equation Pressure=F/A(surface area in m^2) with inequality equation

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DDCamp
  • DDCamp
First find the force the person will exert on the snow, using Newton's 2nd law: \[F = ma \\ F = 88kg * 9.8 \frac{m}{s^2}\]
anonymous
  • anonymous
Correct! Newton's second law or simply mass*gravityt
anonymous
  • anonymous
In fact you are calculating the normal force using that equation above
DDCamp
  • DDCamp
Use the equation for pressure:\[P = F/A \\ 3000 Pa = 862.4 N / A \\ A = 862.4N / 3000 Pa \\ A = 0.287 m^2\]
anonymous
  • anonymous
Well done.

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