How to find he coefficient of kinetic friction?

In summary, a flight attendant exerts a force of 32.0 N at an angle of 52.0° above the horizontal to pull her 70.0 N flight bag a distance of 269 m along a level airport floor at a constant speed. The work done by the flight attendant on the bag is 5299 J, while the work done by friction on the bag is -5299 J. To find the coefficient of kinetic friction between the bag and the floor, we can use the equation: μk = Ff/N, where Ff is the force of friction and N is the normal force. To find the normal force, we can draw a Free Body Diagram and use the equation ΣFy =
  • #1
snash1057
15
0
A flight attendant pulls her 70.0 N flight bag a distance of 269 m along a level airport floor at a constant speed. The force she exerts is 32.0 N at an angle of 52.0° above the horizontal.

(a) Find the work she does on the flight bag.
_5299_J

(b) Find the work done by the force of friction on the flight bag.
_-5299_ J
(c) Find the coefficient of kinetic friction between the flight bag and the floor.
____

i found part A, by 32.0 x 269 x cos(52.0) = 5299J

but i don't understand how to get part c

i keep doing 32Cos(52)=70-32sin(52)k and i get .1357, don't get what I am doing wrong HELP!??
 
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  • #2
What is the matter with the value .1357?
 
  • #3
the answer is .4397
 
  • #4
What is the normal force the floor exerts on the flight bag?

Draw a Free Body Diagram.
 
  • #5


To find the coefficient of kinetic friction, you need to use the equation: F_f = μ_k * N, where F_f is the force of friction, μ_k is the coefficient of kinetic friction, and N is the normal force (equal to the weight of the object in this case, which is 70.0 N).

For part (b), you have already calculated the work done by the force of friction (5299 J), so you can use that value in the equation: W = F_f * d, where W is the work done, F_f is the force of friction, and d is the distance (269 m). This will give you the force of friction, which you can then use in the equation F_f = μ_k * N to solve for μ_k.

So, the steps to find the coefficient of kinetic friction would be:

1. Calculate the work done by the force of friction (5299 J).
2. Use the equation W = F_f * d to solve for F_f.
3. Use the equation F_f = μ_k * N to solve for μ_k.

Hope this helps clarify the process!
 

1. How do you calculate the coefficient of kinetic friction?

The coefficient of kinetic friction can be calculated by dividing the force of kinetic friction by the normal force. The force of kinetic friction can be found by multiplying the coefficient of kinetic friction by the normal force.

2. What is the difference between static and kinetic friction?

Static friction occurs when two surfaces are in contact but not moving relative to each other, while kinetic friction occurs when two surfaces are in motion relative to each other. The coefficient of kinetic friction is typically lower than the coefficient of static friction.

3. What factors affect the coefficient of kinetic friction?

The coefficient of kinetic friction can be affected by the types of materials in contact, the surface roughness, and the temperature. It may also vary depending on the speed or force of the moving object.

4. How do you measure the coefficient of kinetic friction?

The coefficient of kinetic friction can be measured by conducting an experiment where a known weight is pulled across a surface at a constant speed. The force of kinetic friction can be measured and used to calculate the coefficient of kinetic friction.

5. Why is the coefficient of kinetic friction important?

The coefficient of kinetic friction is important in understanding how objects move and interact with each other. It is also useful in engineering and designing structures, as well as predicting the behavior of objects in various situations, such as on different surfaces or at different speeds.

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