Kinetic friction and distance problem.

AI Thread Summary
To solve the problem of a car coming to a stop after traveling 10 meters on a road with a coefficient of friction of 0.5, the initial velocity needs to be determined. The equations of motion and kinetic energy are relevant, but the mass of the car is not provided, complicating the calculations. It's suggested to assume a mass and apply Newton's second law, considering the forces involved, including friction. The discussion emphasizes the need to relate the equations to eliminate mass from the calculations. A clear step-by-step approach is encouraged for better understanding and problem-solving.
johnf34
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Homework Statement


A car is traveling at a given velocity on a road with a coefficient of friction of 0.5 when it suddenly has to apply the brakes. Given that it travels 10 meters before coming to a stop what is the initial velocity of the car?


Homework Equations


Vi^2=Vf^2 + 2ax KE=1/2mv^2


3. The Attempt at a Solution [/b
I had some trouble with this since the mass isn't given, i supposed i had to figure out a way to relate two equations so that the mass could cancel but i had a hard time doing so. Can anybody help?
 
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Assume a mass of m, and then use F=MA. Consider the normal force and coefficient of friction.
 
Please post your working as far as you got.
 
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