A car is negotiating a curved road of ra...

A car is negotiating a curved road of radius `R` . The road is banked at an angle `theta`. The coefficient of friction between the tyres of the car and the road is `mu_(s)` . The maximum safe velocity on this road is:

`sqrt(gR^(2)(mu_(s)+tan theta)/(1-mu_(s)tan theta))`

`sqrt(gR(mu_(s)+tan theta)/(1-mu_(s)tan theta))`

`sqrt((g)/(R)(mu_(s)+tan theta)/(1-mu_(s)tan theta))`

`sqrt((g)/(R^(2))(mu_(s)+tan theta)/(1-mu_(s)tan theta))`

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