How do you find the velocity with only the following given information?

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Homework Help Overview

The problem involves a racecar accelerating from rest over a distance of 400 meters, with the coefficient of friction provided. The goal is to determine the final velocity of the car at the end of this distance, given the lack of specific values for mass, acceleration, or time.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to approach the problem without additional information such as mass or acceleration. Some participants suggest considering the implications of the coefficient of friction on the car's acceleration.

Discussion Status

Participants are exploring the relationship between the coefficient of friction and the car's acceleration. There is acknowledgment of the need to interpret the problem carefully, and some guidance has been offered regarding potential assumptions that could be made.

Contextual Notes

The original poster notes the absence of specific values for mass, acceleration, or time, which are typically necessary for solving such problems. This constraint is central to the discussion.

aamir23
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Homework Statement



The coefficient of friction between a racecar’s wheels and the track is 1.0. The car starts from rest and accelerates at a constant rate for 400 m. Find the velocity at the end of the race.

so Vo=0m/s
x=400m
mu=1
acceleration is constant
and we need to find Vf

Homework Equations


Ff = muN
Velocity and acceleration:
v=dx/dt
a=dv/dt
Constant acceleration:
v = v0 +at
x = x0 +v0t + 1/2at^2
v^2 = vo^2 + 2ax

The Attempt at a Solution


Personally, I don't know how to approach this. If the mass, acceleration, or time were given I would be able to do this, but since they are not, I'm thoroughly stumped.
 
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I think the point is that since its a race, the car is accelerating as much as possible given the coefficient of friction. Do you agree with that? If so, use that to solve for the acceleration and you are home free.
 
Welcome to PF!

Hi aamir23! Welcome to PF! :smile:

(have a mu: µ and try using the X2 and X2 tags just above the Reply box :wink:)

Yes, I think Phyisab**** :smile: is right …

sometimes, you have to read the question very carefully, and then make an intelligent guess as to what's going through the examiner's mind! :rolleyes:
 
sweet. i just got it. Thanks a ton.
 

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