Finding coefficient of kinetic friction given mass & horizontal force?

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SUMMARY

The coefficient of kinetic friction for a wooden box with a mass of 12 kg, pushed with a force of 30 N across a floor at constant velocity, is calculated using the formula μ = Ff / N. The normal force (N) is determined by the weight of the box, which is 12 kg multiplied by the acceleration due to gravity (9.8 m/s²), resulting in N = 117.6 N. The correct calculation yields μ = 30 N / 117.6 N, resulting in a coefficient of kinetic friction of approximately 0.26. This value is confirmed through multiple calculations and clarifications in the discussion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of force, mass, and acceleration
  • Knowledge of the formula for frictional force: Ff = μ * N
  • Basic understanding of gravitational force calculation (F = m * g)
NEXT STEPS
  • Study the concept of static vs. kinetic friction and their applications
  • Learn how to derive and apply the equations of motion in friction scenarios
  • Explore the effects of varying forces on frictional coefficients in different materials
  • Investigate the role of surface texture and material properties on friction
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the principles of friction and motion in practical applications.

pebbles
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Homework Statement



You use 30N (**Not 25 N, that was a typo) to slide a wooden box that is 12 kg across a floor at constant velocity. What is the coefficient of kinetic fricition?

Homework Equations



Ff=coeff of kinetic friction (mu k) m*g
?? not sure.

The Attempt at a Solution



coeff of kinetic friction=12 kg/30N=.4.

That answer is obviously incorrect, but I don't know what to do.
Thanks in advance.
 
Last edited:
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A body moves across a floor at constant velocity, when you overcome the frictional force. Your formula for frictional force is correct. From where did you get 30 N?
 
oh oops. that was a typo. 25 N should be 30 N.

.4 is correct?
 
No. What is the frictional force?
 
hm. I'm looking through my textbook and i can't find a formula for frictional force and i can't remember how to get it...a hint please?
 
well, wait Ffriction=muK*m*g.

would it just be 12 kg * 9.8 m/s^2?
 
Ffriction=25N. Since that is what's producing the force you are pushing. mg is the normal force. The coefficient of friction, if memory serves, is related to a ratio between those two numbers.
 
Dick, actually, it's not 25N, that was a typo. Question is actually 30 N.

so, Ff=30N-->
coefficient of kinetic friction=30 N/12.0 kg * 9.80 m/s^2= .26.

Am I right?

I thank everyone for their input. :]
 
Well, yeah. Ffriction/Fnormal=mu_kinetic. Right?
 
  • #10
pebbles said:

Homework Statement



You use 30N (**Not 25 N, that was a typo) to slide a wooden box that is 12 kg across a floor at constant velocity. What is the coefficient of kinetic fricition?

Homework Equations



Ff=coeff of kinetic friction (mu k) m*g
?? not sure.

The Attempt at a Solution



coeff of kinetic friction=12 kg/30N=.4.

That answer is obviously incorrect, but I don't know what to do.
Thanks in advance.


Maybe use F=MA??
 
  • #11
Hi guys!

for a body at rest the friction acting on it is called static friction! and when the body starts to move it possesses Kinetic Friction . The max value to which static friction can increase before the body starts relative motion is called limiting friction.. Hence when a body is placed in the horizontal surface it exerts a force of its own wt downwards which is balanced by the normal reaction force ! N=mg. for dis condition fms=u*N, where u is the coefficient of friction , actually its mew i dnt knw where i can put dt symbol in ma keyboard. bt N=mg so coeff of friction u= fms/mg;

Dis is d main formulae .. i believe dt it would have cleared ur doubts!
 
  • #12
Hi Guys, tried looking for info about the below topic but couldn't find anything. We did an experiment at school ( Fliuds using the TE 64 aparatus) need to conduct a research the friction factor and explain the differences with the pipe coefficient
 
  • #13
Possibility solution

For your prob, I attempted to find the solution and found it is equal to -0.2551020408 ~ -0.26 (if you want to round it into 2-digits)
So this is how I found this answer
Given: 30 N = F ( some forces)
12 kg = m (mass)
so gravity force, F(g) = 12 kg x 9.8 m/s^2 = 117.6 N
Since from the problem said you applied 30 N to slide the wooden box, which there is an arrow showing the box moving forward, but at the same time there is also another force moving backward, equally, as well, friction (Newton 3rd Law).
So F(f) = -30 N
Since F(f) = μ * N => -30 = μ * 117.6 => μ = -30/ 117.6 = -0.2551020408 or -0.26
 
  • #14
how would the answer change if the force of friction accelerates at a rate of 3m/s^2
 
  • #15
physicsisnotfun said:
how would the answer change if the force of friction accelerates at a rate of 3m/s^2

Forces of friction don't accelerate. You'll have to state the problem much more clearly than that. Also suggest you start a new thread rather than resurrecting an old one.
 

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