You are driving with a friend who is sitting to your right on the passenger side

Question

You are driving with a friend who is sitting to your right on the passenger side of the front seat of your car. You would like to be closer to your friend, so you decide to use physics to achieve your romantic goal by making a quick turn. If the coefficient of static friction between your friend and the car seat is 0.600 and you keep driving at a constant speed of 19.0 m/s, what is the maximum radius in meters you could make your turn and still have your friend slide your way? You are driving with a friend who is sitting to your right on the passenger side of the front seat of your car. You would like to be closer to your friend, so you decide to use physics to achieve your romantic goal by making a quick turn. If the coefficient of static friction between your friend and the car seat is 0.600 and you keep driving at a constant speed of 19.0 m/s, what is the maximum radius in meters you could make your turn and still have your friend slide your way?

Explanation / Answer

Coefficient of static friction µ = 0.600 car is driving at a constant speed v = 19.0 m/s maximum radius   v = v r µ g                        19.0 m/s = v r * 0.600 * 9.81 m/s^2                          r = 61.3 m

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