Finding the Coefficient of Friction(due tommorow, )

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In summary, a 50.0 kg chair requires a 365 N horizontal force to set it in motion on a horizontal floor. Once in motion, a 327 N horizontal force is needed to keep it moving at a constant velocity. The coefficient of friction between the chair and the floor is 0.896, calculated using the kinetic force of 327 N.
  • #1
DarkOtaku
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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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  • #2
which coefficient you need --- kinetic or static?

for kinetic use 327N
for static use 365N
 
  • #3
And there's no units on the coefficient. Divide Newtons by Newtons and you get a pure number.
 

1. What is the coefficient of friction?

The coefficient of friction is a measure of the amount of resistance or force that two surfaces exert on each other when in contact. It is a unitless value typically denoted by the symbol "μ".

2. Why is finding the coefficient of friction important?

Finding the coefficient of friction is important in understanding the behavior of objects in motion. It helps determine the amount of force needed to move an object, the rate of wear and tear on surfaces, and whether an object will slide or remain stationary.

3. How is the coefficient of friction calculated?

The coefficient of friction is calculated by dividing the force of friction (F) by the normal force (N) between two surfaces. This can be represented by the equation μ = F/N.

4. What factors affect the coefficient of friction?

The coefficient of friction can be affected by several factors, including the nature of the surfaces in contact, the amount of force applied, and the presence of any lubricants or contaminants.

5. Can the coefficient of friction be negative?

Yes, the coefficient of friction can be negative in certain cases where the force of friction is in the opposite direction of the applied force. This can occur, for example, when a lubricant is present between two surfaces, reducing the amount of friction between them.

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