Did I do this question correctly?

[lanvin]

A race-car driver is driving her car at a record-breaking speed of 225 km/h. The first turn on the course is banked at 15°, and the car's mass is 1450kg.

1. If the car maintains a circular track around the curve (does not move up or down the bank), what is the magnitude of the force of static friction?

Do I use this formula?:

F(s) = mv^2 / r

And do I find the radius, using the formula V = √(g r tan15°)

2. What is the coefficient of static friction necessary to ensure the safety of this turn?

for this I use the formula µ(s) = F(s) / F(N) ?

 

[LowlyPion]

Are you sure there is no radius given? Or that the curve was designed for a particular speed?

The V² = gRTanθ is based on the down-incline force of gravity being balanced by the up incline centripetal acceleration without friction. If you knew the speed it was designed for then you could use this formula.