What is the minimum distance in which the car will stop?

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To determine the minimum stopping distance of a car traveling at 34.5 mi/h, one must consider the coefficients of friction for both wet and dry conditions. For a rainy day with a static friction coefficient of 0.064, the stopping distance can be calculated using the formula that incorporates gravitational acceleration. Conversely, when the surface is dry with a coefficient of 0.675, the stopping distance will be significantly shorter. Understanding static and kinetic friction is crucial for solving these problems effectively. Accurate calculations will yield the required stopping distances for both scenarios.
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Can someone tell me how to do this question:
1. a) A car is traveling at 34.5 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s^2. If the coefficient of static friction between road and tires on a rainy day is 0.064, what is the minimum distance in which the car will stop?
b) What is the stopping distance when the surface is dry and the coefficient of friction is 0.675.
Thanks.
 
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debbie18 said:
Can someone tell me how to do this question:
1. a) A car is traveling at 34.5 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s^2. If the coefficient of static friction between road and tires on a rainy day is 0.064, what is the minimum distance in which the car will stop?
b) What is the stopping distance when the surface is dry and the coefficient of friction is 0.675.
Thanks.

What have you done so far?

The following URL might help you with the definition of static and kinetic friction, if that happens to be your problem (it's hard to say, because you haven't attempted to explain how you tried to solve the problem).

http://hyperphysics.phy-astr.gsu.edu/hbase/frict2.html
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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