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A team of 10 Qimmiq is pulling a komatik and its load having a total mass of 1000kg at a constant velocity of 8.1km/h over the frozen tundra. Calculate the coefficient of kinetic friction between the komatikand the snow if the dogs  must exert a total force of 922N to keep the komatik travelling at a constant velocity?

7 years ago

Answered By John J

FN=Fg=1000kg X 9.81m/s2=9810Nm/s2

Fapp=Ff=ukFN

uk=Fapp/FN=922N/9810Nm/s2

uk=0.094

 


7 years ago

Answered By Courtney P

In order to maintain a constant velocity, The for exerted by the team of Qimmiqs fust equal the the force due to friction. FQ = μFn =922N

Fn is the normal force and is equal to the force of gravity. Fn = mg = 1000kg * 9.81m/s =9810N

μ=FQ / Fn = 922N/9810N = 0.094

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7 years ago

Answered By Marija J

The sled is already moving at a constant velocity, and for it to keep moving at a constant velocity, forces in the horizontal direction have to be balanced. This means that the force that the dogs exert to pull a sled must be exactly equal to the force of friction.  

 

Force of friction is equal to the product of the coefficient of  kinetic friction and the normal force, which  is the force of reaction of the surface to the weight of the sled. Since there is no acceleration in the vertical direction, normal force is simply equal to the force of gravity.

 

Thus, we have t $F_{fr}=\mu_kN=\mu_kmg$Fƒ r=μkN=μkmg he force of kinetic friction = coefficient of kinetic friction x normal force = coefficient of kinetic friction  x weight of the sled.

 

  $F_{fr}=\mu_kN=\mu_kmg$Fƒ r=μkN=μkmg 

From this equation, we find that  $\mu_k=\frac{F_{fr}}{mg}$μk=Fƒ rmg  ; and, since  $F_{fr}$Fƒ r  = 922 N, we find that  $\mu_k$μk  = 922 N/(1000 kg) (9.81m/ $s^2$s2 ) = 0.0940.

 


7 years ago

Answered By Negar S

Do you remember to start a movement we need force greater than friction force?  

Dogs started pulling the sled, and they need to keep going with the same speed, right? 

What does that mean ? it means the friction force shall be equal to total forces of dogs right? 

If friction force will be more at some point velocity will be reduced and and if all of a sudden friction will be less dogs move faster.

just remeber yourself walking on a paved and clean of ice pedestrain and all of a sudden you step on ice, what will happen ? you go faster and you will be unbalanced, and you might be toppled  

 

So :

Friction Force = Friction Coefficient . Weight or 

  $F_{fr}=\mu_kN=\mu_kmg$

 $Ffr=\mu_k\times mg$ r=μk×mg 

 $922\left(N\right)=\mu_k\times1000\left(kg\right)\times9.81$922(N)=μk×1000(kg)×9.81 

 $\mu_k=\frac{922\left(N\right)}{1000\left(kg\right)\times9.81\left(\frac{m}{s^2}\right)}=0.0939$μk=922(N)1000(kg)×9.81(ms2 ) =0.0939 

 

IMPORTANT NOTE : In physics UNITS are really really important, always double check the units.

Imagine a simple mistake in units can cause a collapse in a building or a bridge. 

 

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7 years ago

Answered By Victor A

 

In order to find the coefficient of kinetic friction between two surfaces, the horizontal surface method may be used. This is the Horizontal Surface Method:

 

μ s   = Fs / N .     Notice that, F = Fs

 

  Fs = Force of static friction,   μs  = coefficient of static friction,   N  = Normal force or the force perpendicular to the contacting surfaces. Just plug the numbers.

 

Also, there is a 4-min video. This is the link so the student that posted the question can watch.

https://www.youtube.com/watch?v=rmRwwXgzYqQ

Hope the explanation helps. Thanks for posting the question.


7 years ago

Answered By Clifton P

First of all we need to identify the pertinent information. We have a mass, a velocity, and a force. We're told that the velocity is constant which means a net force of zero (Fnet = 0). For that to be true, the force the dogs apply must be exactly equal to the force of friction,

Fnet = Fapp - Ff  

--> Fapp = Ff

And the force of friction is given as

Ff = µ FN

Therefore

Fapp = µ FN      Where FN is the normal force, ie the force perpendicular to the surface

The normal force is generally written as FN = mg cosØ, but since our surface is flat (Ø = 0º) cos 0 = 1

So now we have 

Fapp = µ mg

rearranging we get

   $µ=\frac{F}{mg}=\frac{922N}{1000KG\cdot\frac{9.81m}{s^2}}=0.094$µ=Fmg =922N1000KG·9.81ms2  =0.094   

Our units cancel nicely, remembering that Newtons(N) are the same as  $Kg\cdot\frac{m}{s^2}$Kg·ms2   (a mass X acceleration, F=ma)