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## Homework Statement

A highway curves to the left with radius of curvature R = 35 m. The highway's surface is banked at 19 degrees so that the cars can take this curve at higher speeds.

Consider a car of mass 907 kg whose tires have static fiction coefficient of .72 against the pavement.

The acceleration of gravity is 9.8 m/s^2.

How fast can the car take this curve without skidding to the outside of the curve? Answer in units of m/s.

## Homework Equations

(mv^2)/r = Fn Sin(angle)

mg = Fn Cos (angle)

(v^2)/rg = Tan (angle)

Ac = g tan (angle)