Solving a Friction Force and Coefficient of Friction Problem

In summary, the conversation discusses a question about determining the friction force and coefficient of friction for a block that is being accelerated on a horizontal surface. The net force is calculated to be 40N and the mass of the block is 5.0kg. The friction force is determined to be 10N using the formula Ff= (mu)Fn. To find Fn, the sum of the vertical forces is set equal to zero. The symbol for mu is requested and the conversation concludes with the calculation of \mu=.2.
  • #1
nitegrl
1
0
Hi I'm new here, I hope someone can help me. I think I got the first half of the question, but I got stuck one the second part. Well here it goes,

A force of 40N accelerates a 5.0kg block at 6.0m^2 along a horizontal surface.
a.) How large is the friction force?
b.) What is the coefficient of friction?

a.) Fnet= ma
Fp-Ff= ma
(40)-Ff= (5)(6)
40-Ff= 30
40-30= Ff
Ff= 10N

I know that you have to use Ff= (mu)Fn, but how do you get Fn?

And is there a way to show symbols like mu?
 
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  • #2
Since the block moves in the horizontal direction only, the sum of the vertical forces equals zero. that is how you get fn.
type to get the symbol.
[tex]\mu[/tex]
 
  • #3
[tex]fn=mg=9.8*5*\mu[/tex]
[tex]10=49\mu[/tex]
[tex]\mu=.2[/tex]

does this seem right? its been awhile
 

FAQ: Solving a Friction Force and Coefficient of Friction Problem

What is friction force and coefficient of friction?

Friction force is the force that resists motion between two surfaces in contact. It is caused by microscopic irregularities on the surfaces, which create resistance when they come into contact. The coefficient of friction is a numerical value that represents the amount of friction between two surfaces.

How do you solve a friction force and coefficient of friction problem?

To solve a friction force and coefficient of friction problem, you need to first identify the surfaces in contact and the direction of motion. Then, use the formula F = μN, where F is the friction force, μ is the coefficient of friction, and N is the normal force (the force perpendicular to the surface). Finally, plug in the values and solve for the unknown variable.

What factors affect the coefficient of friction?

The coefficient of friction is affected by the type of surfaces in contact, the roughness of the surfaces, and the applied force. It also depends on the presence of any lubricants or fluids between the surfaces, as well as the temperature and humidity.

How is friction force related to energy?

Friction force is a non-conservative force, meaning it dissipates energy and converts it into heat. The amount of energy lost due to friction depends on the coefficient of friction and the distance over which the force is applied. This energy loss is one of the reasons why friction is often considered undesirable.

What are some real-life applications of friction force and coefficient of friction?

Friction force and coefficient of friction are important in various industries and everyday activities. For example, engineers use these concepts to design car brakes, tires, and other mechanical systems. In sports, the amount of friction affects the motion of balls and athletes on different surfaces. Additionally, understanding friction can help improve the efficiency of machines and reduce wear and tear on moving parts.

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