# Uniform circular Motion

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A car with a constant speed of 83.0 km/h enters a circular flat curve with a radius of curvature of .400 km. If the friction between the road and the car's tires can supply a centripetal acceleration of 1.25m/s^2, does the car negotiate the curve safely? Justify your answer.

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#### Solution Preview

<br>Here is the solution with a bad ending....

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<br>* For the car to negotiate the curve (not to move from the center of the road), the radial forces on it must be zero.

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<br>*Therefore, the sum of all accelerations must be zero (Newton's second law).

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<br>* there are two accelerations: The centripetal (center seeking) as a result of the friction force, we will denote it af. The other is the centrifugal (center fleeing) acceleration., ...

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