Finding the Coefficient of Friction(due tommorow, )

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The discussion focuses on calculating the coefficient of friction for a 50.0 kg chair on a horizontal floor. A force of 365 N is required to initiate motion (static friction), while a force of 327 N is needed to maintain constant velocity (kinetic friction). The coefficient of static friction is calculated as 365 N divided by the normal force (FN), while the coefficient of kinetic friction is derived from 327 N divided by FN. The final coefficient of kinetic friction is determined to be 0.896.

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A 50.0 kg chair initially at rest on a horizontal floor requires a 365 N horizontal force to set it in motion. Once the chair is in motion a 327 N horizontal force keeps it moving at a constant velocity. Find the coefficient of friction between the chair and the floor. (In this problem use the "327 N" force, but just remember, because of static friction, it always takes a little bit greater of a force to "Get" an object moving.)




  • FF=[tex]\mu[/tex]FN
  • [tex]\Sigma[/tex]Fv=FN+(Fg)=ma
    FN=Fg=mg
  • [tex]\Sigma[/tex]Fh=Fpush+(-FF)=ma
    [tex]\Sigma[/tex]Fh=FF=ma

  • FF=[tex]\mu[/tex]mg



FF=[tex]\mu[/tex]FN
[tex]\mu[/tex]=FF[tex]/[/tex]FN
[tex]\mu[/tex]=327 N[tex]/[/tex]365 N=0.896 N
 
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which coefficient you need --- kinetic or static?

for kinetic use 327N
for static use 365N
 
And there's no units on the coefficient. Divide Newtons by Newtons and you get a pure number.
 

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