Coefficient of Kinetic Friction Question

In summary, to determine the smallest coefficient of friction between two boxes that will prevent slippage, you can use the formula uk = a/g and solve for uk using the given acceleration and gravitational constant. It is important to note that for this scenario, the coefficient of static friction, μs, should be used rather than the coefficient of kinetic friction, μk.
  • #1
wilson_chem90
137
0
1. If the acceleration of a pair of boxes has a magnitude of 2.5m/s^2, determine the smallest coefficient of friction between the boxes that will prevent slippage.



Homework Equations


F = ma
Fk = ukFn
Fw = mg


The Attempt at a Solution



ma = uk mg(Fn)
a = uk g
a/g = uk
2.5m/s^2 / 9.8m/s^2 = uk
uk = 0.25
 
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  • #2
Since you don't want it to slip, it's really the coefficient of static friction you are interested in, but as to your solution, that looks like the right method.
 
  • #3
oh okay, so its the same format just static friction?
 
  • #4
wilson_chem90 said:
oh okay, so its the same format just static friction?

Correct.

μs not μk

No big deal.
 

What is the coefficient of kinetic friction?

The coefficient of kinetic friction is a measure of the amount of friction between two surfaces that are in relative motion. It is represented by the symbol μk and is a unitless value.

How is the coefficient of kinetic friction calculated?

The coefficient of kinetic friction is calculated by dividing the force of kinetic friction by the normal force between the two surfaces. This can be expressed as μk = Fk/N. The force of kinetic friction can be measured using a device called a friction tester.

What factors affect the coefficient of kinetic friction?

The coefficient of kinetic friction is affected by several factors such as the nature of the surfaces in contact, the roughness of the surfaces, the speed of the objects in motion, and the presence of any lubricants or contaminants on the surfaces.

How does the coefficient of kinetic friction differ from the coefficient of static friction?

The coefficient of kinetic friction measures the amount of friction between two surfaces that are in motion, while the coefficient of static friction measures the amount of friction between two surfaces that are at rest. The coefficient of static friction is typically higher than the coefficient of kinetic friction for the same two surfaces.

Why is the coefficient of kinetic friction important?

The coefficient of kinetic friction is important in understanding the behavior of objects in motion and predicting how they will interact with different surfaces. It is also used in engineering and design to ensure the safety and efficiency of machines and structures that rely on friction for their operation.

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