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?
8 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
8 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
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 ofkinetic friction and the normal force, whichis 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 $F_{fr}=\mu_kN=\mu_kmg$Fƒr=μkN=μkmg he force of kinetic friction = coefficient of kinetic friction x normal force = coefficient of kinetic frictionx weight of the sled.
$F_{fr}=\mu_kN=\mu_kmg$Fƒr=μkN=μkmg
From this equation, we find that $\mu_k=\frac{F_{fr}}{mg}$μk=Fƒrmg ; and, since $F_{fr}$Fƒr = 922 N, we find that $\mu_k$μk = 922 N/(1000 kg) (9.81m/ $s^2$s2 ) = 0.0940.
8 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
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.
8 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
8 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
8 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
Attached Whiteboard:
Play Drawing8 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.
8 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
$F_{fr}=\mu_kN=\mu_kmg$
$Ffr=\mu_k\times mg$Fƒ 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.
Attached Whiteboard:
Play Drawing8 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.
8 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)