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As you will see from the responses, this can get pretty complicated
with nobody really knowing exactly the answers.
1) Here the width is more about heat dissipation than friction
because the mu for a rubber, liquid rubber, and asphalt interface is
really low! In fact, watch what happens when they spin up the
tires--they get higher and more narrow!
2) The 'burn out' intentionally melts some tire material over the
area from which the car starts. Turns out that mu between 'rubber'
and 'rubber' is higher than between asphalt and rubber.