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What is the maximum tangential speed the ball can have before the string breaks?

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A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m. The mass slides without friction on a horizontal surface. If the string can withstand a maximum tension of 77.1 N, what is the maximum tangential speed the ball can have before the string breaks?

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With good explanations, the formulas and calculations are shown that solve the problem.

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The centripetal force is the force exerted on the string when the mass is spun in a circle. We can calculate this force using the following equation:

F = m*(v^2)/r

m is the mass of the object
v is the tangential velocity of the object
r is the ...

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