A car is traveling at 50.3 mi/h on a horizontal highway. The acceleration of gravity is 9.8 m/s 2 . If the coeﬃcient of friction between road and tires on a rainy day is 0.064, what is the minimum distance in which the car will stop? (1 mi = 1.609) Answer in units of m

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kittiwitti1 · Answer

We just learned this in class so I'm not familiar with this kind of problem but... this is as close a question as I could find. Since it's not exactly the same I can't help you solve it all the way, sorry.$$\Sigma F _{y} = N - F _{g} = ma$$[ ma ] cancels out to 0$$N = F _{g}$$$$\Sigma F _{x} = F _{A} - f = ma$$[ ma ] cancels out to 0$$F _{A} = f = \mu N$$$$\mu x = \frac{ F _{A} }{ N } = \frac{ F _{A} }{ F _{g} }$$
After that use [mu]x to find Fa (mu is that weird Greek "m" letter in case you didn't know):$$F _{A} = \mu xN$$
I'm guessing you can use that to find acceleration and in turn use kinematics to figure out the answer...

kittiwitti1 · Answer

Tagged my friends here - @AllTehMaffs @Kfins99 @calculusxy @nincompoop @Zale101