Coefficient of kinetic friction problem

In summary: Cancel it out or transfer it to the other sideIn summary, the car is traveling at 86 km/hr and stops within 93 m when the brakes lock and the car slides. The magnitude of acceleration is 3.0967 and the coefficient of kinetic friction is unknown. To solve for the coefficient, the equation for kinetic friction is used, which is equal to the coefficient multiplied by the normal force. The normal force can be found by using the equation F=ma, where a is the (de)acceleration of the car and m is the mass of the car. Since 'm' appears on both sides, it can be cancelled out or transferred to the other side, allowing the calculation of the coefficient of kinetic friction.
  • #1
kkowale4
2
0

Homework Statement



On a level road with its brakes on, a car traveling at 86 km/hr stops within 93 m when the brakes lock and the car slides.
- a) What is the magnitude of the acceleration of the car? 3.0967 which i already found.
- b) What is the coefficient of kinetic friction between the tires and the pavement? ? ?



Homework Equations



kinetic friction = (coefficient of kinetic friction)( Normal force)


The Attempt at a Solution



For part B (the part i can't figure out)
86km/hr = 24m/s
24(9.8 gravity)= 235.2 Normal force
24/235.2 = .102 = coefficient of kinetic friction which is wrong
 
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  • #2
You have the right equation for friction but you have misunderstood what it means.
The normal force is the weight of the car = mass * g
The kinetic friction is the friction force stopping the car. You know this because the "coefficient of kinetic friction" has no units this kinetic friction must have the same units as Normal force for the equation to balance.
You can find this from F=ma where a is the (de)acceleration of the car while it is slowing and m is the mass of the car again.
 
  • #3
how can i find the normal force if i don't have the mass of the car?
 
  • #4
Write out the equation - 'm' appears on both sides.
 

Related to Coefficient of kinetic friction problem

What is the coefficient of kinetic friction?

The coefficient of kinetic friction is a measure of the resistance between two surfaces when they are in motion against each other.

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.

What factors affect the coefficient of kinetic friction?

The factors that affect the coefficient of kinetic friction include the type of surfaces in contact, the roughness of the surfaces, and the speed at which the surfaces are moving against each other.

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

The coefficient of kinetic friction is a measure of the resistance between two surfaces in motion, while the coefficient of static friction is a measure of the resistance between two surfaces at rest.

How can the coefficient of kinetic friction be reduced?

The coefficient of kinetic friction can be reduced by using lubricants between the two surfaces, smoothing out any roughness on the surfaces, and reducing the speed at which the surfaces are moving against each other.

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