First compute the "perfect bank" angle at the 72.4 km/h speed.
Then require that the centripetal force at the higher speed be provided by the maximum friction force compatible with the static friction coefficient.
If a curve with a radius of 94.5 m is perfectly banked for a car traveling 72.4 km/h, what must be the coefficient of static friction for a car not to skid when traveling at 96.4 km/h?
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