Solving Friction Problem: Distance to Stop a Car

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To determine the distance required for a car to stop, the initial velocity and coefficient of friction are essential. The equation v^2 = v_{0}^2 + 2ax can be used to find the stopping distance, where acceleration a is derived from the frictional force. The frictional force is calculated as -μm_{0}g, leading to the acceleration formula a = -μg. This confirms that the negative sign indicates deceleration due to friction. Understanding these relationships is crucial for solving the friction problem effectively.
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A car traveling at an initial velocity v_{0} applies its brakes to come to a stop. The coeffictien of friction is \mu. What distance is required to stop?

I know that you can solve for x using this equation:
v^2=v_{0}^2+2ax

-but i don't know how to solve for acceleration a. any help?
 
Last edited:
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Can you calculate the frictional force? If so, can you calculate the acceleration, by, say, using the definition of force? Try it out, assigning the mass to be m0, and see what you get
 
Im trying to do a force balace to find a but I am not sure this is right.

-\mum_{0}g=m_{0}a
solving for for a, i get a=\mug
 
Last edited:
excuse my bad Latex

but it should be:

-u*Mo*g=Mo*a, solving for a,

a=-u*g
 
yes that's right!
 
thanx 'preciate the help
 
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