More Physics

Does this road look flat to you? Let's bank it; I will pretend they banked it in the correct direction, even though the image looks backwards.

street view

Thanks Google maps!
Banked Road
Above image from hyperphysics

Free body diagram

y: F=ma
forces in the y direction

x: F=ma    
forces in the x direction


now it gets tricky, substitute variables & divide one by the other
divide the equations

cancel N from each term on the left, and m from the right:
cancel terms

solving for v gives us:
solve for v

as the road becomes slipperier, and µ approaches 0, this simplifies to the sqrt of g*r*tanΘ



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