A simple model shows how drawing a bow across a violin string causes the string to vibrate. As the bow moves across the string, static friction between the bow and the string pulls the string along with the bow. At some point, the tension pulling the string back exceeds the maximum static friction force and the string snaps back. This process repeats cyclically, causing the string's vibration. Assume the tension in a $0\mathrm{.}33-$mm$-$long violin string is $70$ NN$,$ and the coefficient of static friction between the bow and the string is ss $=0\mathrm{.}80.$

Part A

If the normal force of the bow on the string is $0\mathrm{.}50$ NN$,$ how far can the string be pulled before it slips if the string is bowed at its center?

Express your answer with the appropriate units.

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