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# If the coefficient of static friction between your coffeecup and the horizontal dashboard of your car is, how fast can you drive on a horizontal roadw

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If the coefficient of static friction between your coffeecup and the horizontal dashboard of your car is, how fast can you drive on a horizontal roadwayaround a right turn radius of 30.0 m before the cup starts toslide? If you go too fast, in what direction will the cupslide relative to the dashboard?

The force keeping it in a circle is the friction force whichis $$F = u$$ mg where u is the coeff offriction also, in circ motion the force must equal: $$F= \frac{mv2}{R}$$
So: $$\frac{mv2}{ R}= u$$ mg or
$$\displaystyle{v}{2}={u}{g}{R}={0.8}\times{9.8}\times{30}={235.2}$$ take the sq root and $$v = 15.3 m/s$$ Done! Please rate me,thanks!