Question

A stone of mass 16 kg is attached to a string 144 m long and it is whirled in a horizontal circle. The maximum tension in the string can withstand is 16 N. The maximum velocity of revolution that can be given to the stone without breaking it, is

A 2 m/s Correct Answer Incorrect Answer
B 4 m/s Correct Answer Incorrect Answer
C 6 m/s Correct Answer Incorrect Answer
D 12 m/s Correct Answer Incorrect Answer

Solution

For circular motion, Maximum tension = Centripetal force ∴ T = mv2/r Given, T= 16 N, m= 16 kg, r=144 m ∴ 16 = (16 x v2)/ 144 ⇒ v2 = 144 ⇒ v = 12 m/s

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