Coefficient of kinetic friction problem

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Homework Help Overview

The problem involves a car that comes to a stop on a level road after sliding with locked brakes. The context includes calculating the acceleration and the coefficient of kinetic friction between the tires and the pavement.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the coefficient of kinetic friction using the normal force and acceleration but questions the validity of their result. Some participants clarify the relationship between normal force and the weight of the car, while others suggest using the equation of motion to relate mass and acceleration.

Discussion Status

Participants are actively discussing the correct interpretation of the normal force and its relation to the mass of the car. There is an exploration of how to approach the problem without having the mass explicitly provided, indicating a productive direction in the discussion.

Contextual Notes

The original poster does not have the mass of the car, which is a critical piece of information for calculating the normal force and subsequently the coefficient of kinetic friction.

kkowale4
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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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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.
 
how can i find the normal force if i don't have the mass of the car?
 
Write out the equation - 'm' appears on both sides.
 

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