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Re: [Phys-l] [tap-l] stopping distance



The 'mg' is the normal force (level road) in the frictional force mu x Normal.

As to the problem itself, if we try to stay close to the simple intro-frictional model then I'm going to say that the problem is primarily one of temperature change--both at the brake pad/disk--drum interface and the road/tire interface which will end up changing the frictional coefficients (in most cases lowering them with increasing temperature). The more massive vehicles will develop higher temperatures as their increased KE is converted to thermal energy.

Rick

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Richard W. Tarara
Professor of Physics
Saint Mary's College
Notre Dame, IN
rtarara@saintmarys.edu
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----- Original Message ----- From: "Richard Heckathorn" <geepaw@wowway.com>
To: <tap-l@lists.ncsu.edu>; <phys-l@carnot.physics.buffalo.edu>
Sent: Friday, January 05, 2007 12:07 PM
Subject: Re: [Phys-l] [tap-l] stopping distance


Greetings,

Is there something wrong here?

W = KE
fd = 0.5mv2
mmgd = 0.5mv2
mgd = 0.5v2

The acceleration you describe 'mg' is the
acceleration due to the pull of the earth on the
object. This is at right angles to the movement of
the object. How could this force slow down the
object?

Dick

Helping teachers who facilitate, motivating
students who learn.
Dick Heckathorn 14665 Pawnee Trail Middleburg
Hts, OH 44130 440-826-0834
www.cvcaroyals.org/~rheckathorn/
Adjunct Physics Teacher - Baldwin Wallace College
Physics is learning how to communicate with ones
environment so that it will talk back.


-----Original Message-----
From: tap-l-owner@lists.ncsu.edu
[mailto:tap-l-owner@lists.ncsu.edu] On Behalf Of
Anthony Lapinski
Sent: Friday, January 05, 2007 8:50 AM
To: tap-l@lists.ncsu.edu; tap-l@lists.ncsu.edu;
phys-l@carnot.physics.buffalo.edu
Subject: [tap-l] stopping distance

Using the Work-Energy Theorem, you can determine
how the stopping distance
is related to the car's initial velocity:

W = KE
fd = 0.5mv2
mmgd = 0.5mv2
mgd = 0.5v2

If we assume the brakes "lock" the wheels to
create a skid mark, then the
above result shows that the stopping distance does
NOT depend on the car's
mass.

However, students tell me and Driver Manuals often
state that the weight
of the vehicle IS a factor (heavier = longer
stopping distance). In the
above calculation, I am dealing with an idealized
case, but in "real-life"
anti-lock brakes change the actual stopping
distance depending on the
weight of the vehicle. I've also heard that large
trucks have a unique
braking system. Can anyone elaborate on these
ideas?



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