String is tied at one end to a post attached to a horizontal table top. 2.5kg ma

Question

String is tied at one end to a post attached to a horizontal table top.
2.5kg mass is attached to the other end of the 30 cm long string. The string, assumed to be massless will break if the tension exceeds 6N. What is the fastest speed with which the ball can be set into uniform circular motion such that the string will not break. Ignore friction. String is tied at one end to a post attached to a horizontal table top.
2.5kg mass is attached to the other end of the 30 cm long string. The string, assumed to be massless will break if the tension exceeds 6N. What is the fastest speed with which the ball can be set into uniform circular motion such that the string will not break. Ignore friction.
2.5kg mass is attached to the other end of the 30 cm long string. The string, assumed to be massless will break if the tension exceeds 6N. What is the fastest speed with which the ball can be set into uniform circular motion such that the string will not break. Ignore friction.

Explanation / Answer

for unifrom circular motion,

T = m v^2 / R

and R = L

T_max = m v_max^2 / L

6 = 2.5 v^2 / 0.30

v = 0.85 m/s

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