Investigators measuring a car skid mark to find velocity.

AI Thread Summary
Investigators measured a 93m skid mark at an accident scene, with a coefficient of friction of 0.32, to determine the car's speed when brakes were locked. The initial calculations led to incorrect results, with one user initially finding -12 m/s and later correcting to approximately 24.15 m/s using the equation Vf² = Vi² + 2ad. The discussion highlighted the importance of understanding the relationship between force, friction, and acceleration in this context. It was noted that the normal force is not always equal to the weight of the car, especially on different surfaces. Accurate calculations are crucial for determining the vehicle's speed at the time of the incident.
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 alot
 
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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