Did I do this question correctly?

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The discussion focuses on calculating the force of static friction and the coefficient of static friction for a race-car driver navigating a banked turn at 225 km/h. The participant considers using the formula F(s) = mv^2 / r and questions how to find the radius, suggesting V = √(g r tan15°) for that purpose. There is uncertainty about whether the radius is provided or if the curve was designed for a specific speed. The conversation highlights that the formula V² = gRTanθ relates to balancing gravitational forces and centripetal acceleration without friction. Overall, the calculations depend on understanding the relationship between speed, radius, and banking angle.
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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) ?
 
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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.
 
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