A train moves along a circular track of radius \(R\) with speed \(v.\) The track has a width \(w\) \( (w\ll R) .\) To ensure safe motion without relying on friction, the outer rail is elevated above the inner rail. What should be the required elevation of the outer track?
1. \(\dfrac{v^2 w}{R g}\)
2. \(\dfrac{v^2 w}{2R g}\)
3. \(\dfrac{gw v^2}{R}\)
4. \(\dfrac{R}{g w v^2}\)