Finding friction force *without* mass or coefficient

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Homework Help Overview

The problem involves a car coasting to a stop from a speed of 50 mph over a distance of 150 ft on level ground. The goal is to determine the friction force required to bring the car to rest without using mass or a coefficient of friction.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of units and calculations for acceleration and time. There is uncertainty about how to find the friction force without the mass of the car, leading to questions about the completeness of the problem statement. Some participants suggest that the force may need to be expressed in terms of gravitational force.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the expression of the answer, but no consensus has been reached on the approach to take without additional information.

Contextual Notes

Participants note the absence of mass in the problem statement and express confusion about how to proceed without it. There are also mentions of constraints related to sharing images of the problem statement.

Amy G.
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Homework Statement


A car moving at 50mph coasts to a stop while traveling a distance of 150ft on level ground. what is the size of the friction force needed to bring this car to rest?

Homework Equations


vf^2 = vo^2 + 2a(xf-xo)
F=ma
Fk=un[/B]

The Attempt at a Solution


I first converted everything to meters and seconds.
So, initial velocity is 22.35 m/s and distance traveled is 47.7 meters.
Then, I found acceleration, which is -5.24 m/ss.
Then, I found time. 4.27 seconds

I tired to find the coefficient of friction with:
F=ma=u(mg) (n is the same as mg because the surface is level)
ma=u(mg)
a=ug
-5.24=u(-9.8)
u=0.53

I have no idea what to do now. It wants the friction force, not the coefficient.
those are pretty much the only formulas we have at this point. We haven't gotten to work or energy formulas.
 
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Amy G. said:

Homework Statement


A car moving at 50mph coasts to a stop while traveling a distance of 150ft on level ground. what is the size of the friction force needed to bring this car to rest?

Homework Equations


vf^2 = vo^2 + 2a(xf-xo)
F=ma
Fk=un[/B]

The Attempt at a Solution


I first converted everything to meters and seconds.
So, initial velocity is 22.35 m/s and distance traveled is 47.7 meters.
Then, I found acceleration, which is -5.24 m/ss.
Then, I found time. 4.27 seconds

I tired to find the coefficient of friction with:
F=ma=u(mg) (n is the same as mg because the surface is level)
ma=u(mg)
a=ug
-5.24=u(-9.8)
u=0.53

I have no idea what to do now. It wants the friction force, not the coefficient.
those are pretty much the only formulas we have at this point. We haven't gotten to work or energy formulas.

I agree that the force needed will depend on the mass of the car. Are you sure that is the whole problem statement? Can you post a (clear) picture or screenshot of the problem statement that you were given?
 
berkeman said:
I agree that the force needed will depend on the mass of the car. Are you sure that is the whole problem statement? Can you post a (clear) picture or screenshot of the problem statement that you were given?

I tried, but can't do it. I have photographs of it and my work saved on my computer but I can't upload them on here. I don't really have any place on the internet where I keep pictures either

I looked at it again though, and it definitely says that :frown:
 
Amy G. said:
I tried, but can't do it. I have photographs of it and my work saved on my computer but I can't upload them on here. I don't really have any place on the internet where I keep pictures either

I looked at it again though, and it definitely says that :frown:

I'll PM you my e-mail address, in case you can e-mail them to me and I can post them for you.
 
Maybe all they want is the force in g's.

Chet
 
Chestermiller said:
Maybe all they want is the force in g's.

Chet

Yeah, that's kind of what I'm guessing now. There certainly is no mention of the car's mass in the problem statement, so I guess it just needs to show up in the answer as Amy did...

PF Amy Problem.jpg


PF Amy Work.jpg
 
BTW, Amy -- your files were JPG files, so you should be able to click the UPLOAD button in the Reply window to upload a *lJPG file as an attachment.

Also, we usually do not want your work to be an image, and prefer that you type it into the PF directly. Just a note for future posts... :smile:
 
Your answer could be expressed as "some specific fraction of the magnitude of the car's weight."
 

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