Finding the coefficient of kinetic friction

In summary, the problem involves a 50 kg block sliding down a 32° ramp with an acceleration of 3.2 m/s2. The task is to find the coefficient of kinetic friction between the block and the ramp. The usual algorithm for solving this type of problem is to draw a free body diagram, use Newton's second law to find the force of friction, and then use the formula for coefficient of friction.
  • #1
physics_fool
3
0

Homework Statement



A 50 kg block slides down a 32° ramp with an acceleration of 3.2 m/s2.
What is the coefficient of kinetic friction between the block and the ramp?

Homework Equations


[tex]\mu[/tex]kinetic=[tex]\frac{f_{kinetic}}{F_{normal}}[/tex]


The Attempt at a Solution



I have gone through many attempts, but all of them just don't seem right...could someone please explain it plain and simple?
 
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  • #2
Hi physics_fool, welcome to PF. The usual algorithm for solving such problems is:

1) Draw a free body diagram, identifying the forces. There should be weight, friction, and normal force.
2) Use Newton's second law, F=ma, to find the force of friction
3) Use Force of friction / Normal Force = coefficient of friction

So what are the components of the forces in each direction?
 
  • #3
That's the question as it was given...

but for your second question, isn't that to find the net force...not the force of friction?
 
  • #4
Ok...nvm. I got it...thanks anyways:smile:
 

1. What is the coefficient of kinetic friction?

The coefficient of kinetic friction is a measure of the amount of resistance between two surfaces in contact when one is moving relative to the other. It is represented by the symbol μk and is a unitless value.

2. How is the coefficient of kinetic friction calculated?

The coefficient of kinetic friction can be calculated by dividing the force of kinetic friction by the normal force between the two surfaces. It can also be found by dividing the weight of an object by the force needed to move it across a surface.

3. What factors affect the coefficient of kinetic friction?

The coefficient of kinetic friction is affected by several factors, including the types of materials in contact, the roughness of the surfaces, and the amount of force pushing the surfaces together. It also varies with temperature and can be affected by the presence of lubricants.

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

The coefficient of static friction measures the amount of resistance between two surfaces when they are not moving relative to each other, while the coefficient of kinetic friction measures the amount of resistance when one surface is in motion.

5. Why is it important to know the coefficient of kinetic friction?

The coefficient of kinetic friction is important in many real-world applications, such as designing machinery and vehicles, calculating the stopping distance of a moving object, and determining the amount of force needed to move an object across a surface. It also helps us understand the behavior of objects in motion and can aid in making decisions about the best materials to use for different purposes.

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