Investigators measuring a car skid mark to find velocity.

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Homework Help Overview

The discussion revolves around determining the speed of a car based on the length of its skid mark and the coefficient of friction, following an accident on a level road. The original poster provides specific measurements and equations related to the problem.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore various equations related to force and friction, questioning the validity of their calculations and the assumptions made about the forces involved. There is a focus on the relationship between the coefficient of friction, normal force, and the resulting speed of the car.

Discussion Status

The discussion is active, with participants sharing their calculations and questioning each other's results. Some participants express confusion over negative values obtained in their calculations, while others suggest recalculating or reconsidering the approach taken. There is no explicit consensus on the correct answer yet, but some guidance has been offered regarding the equations used.

Contextual Notes

Participants note that the normal force may not always equal the weight of the car, indicating a potential assumption that needs to be examined. The original poster's approach seems to involve concepts of work and energy, which may differ from kinematic methods discussed by others.

kavipach
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Homework Statement


At an accident scene on a level road, investigators measure a car's skid mark to be 93m long. It was a rainy day and the coefficient of friction was estimated to be 0.32.
Use these data to determine the speed of the car when the driver slammed on (and locked) the brakes.

Homework Equations


Fd=-m*vinitial^2/2


The Attempt at a Solution

 
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kavipach said:

Homework Equations


Fd=-m*vinitial^2/2

So what's the problem then?
 
the answer didnt work.
 
it gave me -12..and aparently that isn't the right answer
 
kavipach said:
it gave me -12..and aparently that isn't the right answer

What exactly did you do to get -12m/s?
 
well the F here is the force which comes from Fn*CoFr=Ff where Fn equals Normal Force CoFr is co. of friction and Fr is force of friction. So if we subsitute F for Fn*CoFf, the masses on both sides cancel out. leaving us with CoFr*g*d=-vinitial^2/2. The by pluging in the values, i got -23 acctually which isn't the answer either.
 
kavipach said:
well the F here is the force which comes from Fn*CoFr=Ff where Fn equals Normal Force CoFr is co. of friction and Fr is force of friction. So if we subsitute F for Fn*CoFf, the masses on both sides cancel out. leaving us with CoFr*g*d=-vinitial^2/2. The by pluging in the values, i got -23 acctually which isn't the answer either.

Really? Calculate that again.
 
oh lord..k its 24. thanks a lot
 
I got, by using Vf2 = Vi2 + 2ad and using the fact that F/m = (coefficient of friction)*g, 24.15 m/s.

EDIT: Whoops, I'm sorry for the bump!
 
Last edited:
  • #10
y2kkmac said:
I got, by using Vf2 = Vi2 + 2ad and using the fact that F/m = (coefficient of friction)*g, 24.15 m/s.

EDIT: Whoops, I'm sorry for the bump!

Bolded fine as long as the road is horizontal. Normal Force is not always = mg
The original poster was using work change in kinetic energy idea I think. No kinematics necessary.
 

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