How to find coefficient of friction *Without* mass?

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Homework Help Overview

The discussion revolves around determining the coefficient of friction for a car that stops from a speed of 97 km/h over a distance of 48 m on a level road, without knowing the mass of the car. The subject area includes kinematics and friction.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between acceleration, force of friction, and the coefficient of friction, questioning how to express these without the mass of the car. There is an exploration of setting equations equal to each other to facilitate cancellation of mass.

Discussion Status

Some participants have provided guidance on equating the force of friction expressions, suggesting that this approach may allow for the mass to cancel out. The conversation indicates a productive direction, with participants engaging in reasoning about the relationships between the variables involved.

Contextual Notes

Participants are navigating the constraints of not having the mass of the car while attempting to find the coefficient of friction. There is a focus on understanding the underlying physics principles rather than deriving a complete solution.

APphysicsSenior
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A car traveling at 97 km/h can stop in 48 m on a level road
a.) Determine the acceleration of the car
b.) Determine the coefficient of friction between the tires and the road


Homework Equations

: Vf^2=Vo^2 +2aΔx
μ=Ff/mg[/B]

3. I have part A, I got -7.53 m/s^2, but I can't seem to figure out how to find the coefficient of friction without the mass of the car. Help on part B would be MUCH appreciated!
 
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APphysicsSenior said:
A car traveling at 97 km/h can stop in 48 m on a level road
a.) Determine the acceleration of the car
b.) Determine the coefficient of friction between the tires and the road


Homework Equations

: Vf^2=Vo^2 +2aΔx
μ=Ff/mg[/B]

3. I have part A, I got -7.53 m/s^2, but I can't seem to figure out how to find the coefficient of friction without the mass of the car. Help on part B would be MUCH appreciated!
Knowing the deceleration, you can write the force of friction as Ffr=ma. How do you write the force of friction in terms of the coefficient of friction, mass and g?
 
So you would say that Ff=ma and Ff=μmg, then set them equal to each other so the mass cancels out? That makes sense, i'll try that. Thanks!
 
APphysicsSenior said:
So you would say that Ff=ma and Ff=μmg, then set them equal to each other so the mass cancels out? That makes sense, i'll try that. Thanks!
Yes, the mass cancels.
 

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