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A small box with a mass of $8\mathrm{.}00$ kg is being swung around on the end of a string which has a length, $L=1\mathrm{.}40m.$ The tension in the string is $13\mathrm{.}0$ N $.$ The box has a tangential velocity of $3\mathrm{.}20\frac{m}{s}$ and is moving on a level, horizontal surface which has a co$-$efficient of kinetic friction of $0\mathrm{.}494.$ The co$-$efficient of static friction is unknown.

Part A

What is the centripetal acceleration of the box?

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Part B

What is the co$-$efficent of static friction?