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[SOLVED]If fast enough, a car can be driven on a track that is banked vertically. In the view of the 2008 formula one race in Singapore, the government has decided to build one such track. Given that the diameter of the track is 100m, and the coefficient of static friction between the rubber tires and the track is 1.0, calculate the minimum speed that a vehicle can drive along the track without slipping.

Okay so i know that the normal force will be providing all of the centripetal force now, i am just not sure how to play around with friction.

Without friction,

N = mv^2/r

mg = mv^2/r

100g = v^2

v = sqrt(100g)

But what about friction? I know that the friction keeps the car from coming back down on a straight path. So theres friction acting upwards, parallel to the race track.

How would i work with it after that?

Thanks loads

Okay so i know that the normal force will be providing all of the centripetal force now, i am just not sure how to play around with friction.

Without friction,

N = mv^2/r

mg = mv^2/r

100g = v^2

v = sqrt(100g)

But what about friction? I know that the friction keeps the car from coming back down on a straight path. So theres friction acting upwards, parallel to the race track.

How would i work with it after that?

Thanks loads

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