I have been planning to buy a new car and one of the major considerations for me is the fastest way to make a U turn on a horizontal road at constant speed. Suppose to make a `180^(@)` turn on a circular path. The car's steering system does not allow a radius of less than 5m. The road is wide enough to allow a circle of maximum radius of 20m. If the acceleration is greater than `5 m//s^(2)`, the car skids.
What is coefficient of static friction between car tires and road?

Options

A. `5 m//s`
B. `(10)/(3) m//s`
C. `10 m//s`
D. `15 m//s`

Answer

C

Explanation

`(v_("max")^(2))/(r_("max"))=5`
`v_("max")=10m//s`