Beginnger Coefficient of Kinetic Friction Problem

In summary, the coefficient of kinetic friction is a unitless quantity that represents the amount of friction between two surfaces when one is in motion. It is calculated by dividing the force of kinetic friction by the normal force exerted between the two surfaces. This value can be affected by factors such as the nature and roughness of the surfaces, as well as the presence of any lubricants or contaminants. The coefficient of kinetic friction differs from the coefficient of static friction, which measures the amount of friction between two surfaces at rest. Understanding the coefficient of kinetic friction is important in various real-life applications and also helps us understand the principles of motion and physics.
  • #1
amd123
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Homework Statement



If you exert 28N of horizontal force while pushing a 10.2 kg box across the surface of a floor at constant velocity, then what is the kinetic friction coefficient between floor and the box?

Homework Equations



EF = ma
Ffk = uK * Fn


The Attempt at a Solution



Fg = 10.2 * -9.8 = -100 = 100 = FN
Ef = ma
28N + Ffk = 10.2 * 0 m/s^2 (constant velocity)
Ffk = -28N

uk = -28/100 = -.28 coefficient is this correct?
 
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  • #2
Perfectly correct, except for the minus sign. μN just gives the magnitude of the friction force; μ is always positive.
 
  • #3
thanks for the help
 

Related to Beginnger Coefficient of Kinetic Friction Problem

1. What is the coefficient of kinetic friction?

The coefficient of kinetic friction is a quantity that represents the amount of friction between two surfaces in contact when one is in motion. It is denoted by the symbol μk and is a unitless value ranging from 0 to 1.

2. 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 exerted between the two surfaces. This can be represented by the equation μk = Fk/Fn, where Fk is the force of kinetic friction and Fn is the normal force.

3. What factors affect the coefficient of kinetic friction?

The coefficient of kinetic friction can be affected by several factors, including the nature of the surfaces in contact, the roughness or smoothness of the surfaces, and the presence of any lubricants or contaminants on the surfaces.

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

The coefficient of kinetic friction is a measure of the amount of friction between two surfaces when one is in motion, while the coefficient of static friction is a measure of the amount of friction between two surfaces when they are at rest. The coefficient of kinetic friction is typically lower than the coefficient of static friction.

5. Why is understanding the coefficient of kinetic friction important?

Understanding the coefficient of kinetic friction is important in many real-life applications, such as designing vehicles with effective braking systems, creating non-slip surfaces for floors and shoes, and calculating the amount of force needed to move objects across different surfaces. It also helps us understand the basic principles of motion and the laws of physics.

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