You just bought a new sports car (which has mass m = 1.56e + 3 kg) and want to take it out for a ride. You approach a turn whose radius is R = 116 m and which is banked at an angle of 0 = 13.6°. The coefficient of friction between the road and your new tires is μ = 0.0590. See the figure below for both a top-down and a head-on view of this situation. There is some speed max such that, if you hit the turn going any faster, would lead you to slide out of the turn, and there is some speed min such that, if you hit the turn going any slower, you'd slide down towards the center of the circle. What is the (absolute value of the) difference between these two speeds? m R R top down view side view m

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You just bought a new sports car (which has mass m = 1.56e + 3 kg) and want to take it out for a ride. You approach a turn whose radius is R = 116 m and which is banked
at an angle of 0 = 13.6°. The coefficient of friction between the road and your new tires is μ = 0.0590. See the figure below for both a top-down and a head-on view of this
situation.
There is some speed max such that, if you hit the turn going any faster, would lead you to slide out of the turn, and there is some speed min such that, if you hit the turn going any
slower, you'd slide down towards the center of the circle. What is the (absolute value of the) difference between these two speeds?
m
R
R
top down view
side view
m
Transcribed Image Text:You just bought a new sports car (which has mass m = 1.56e + 3 kg) and want to take it out for a ride. You approach a turn whose radius is R = 116 m and which is banked at an angle of 0 = 13.6°. The coefficient of friction between the road and your new tires is μ = 0.0590. See the figure below for both a top-down and a head-on view of this situation. There is some speed max such that, if you hit the turn going any faster, would lead you to slide out of the turn, and there is some speed min such that, if you hit the turn going any slower, you'd slide down towards the center of the circle. What is the (absolute value of the) difference between these two speeds? m R R top down view side view m
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