Question

A block of mass 2 kg is attached to a string that will break if the tension exceeds 500 N. If the block is whirled in a horizontal circle of radius 0.5 m, its maximum speed will be

Answer 1

We know that

$T=\frac{mv^2}{r}\\v_{max}=\sqrt\frac{Tr}{m}$

$$v_{max}=\sqrt\frac{500\times0.5}{2}=\sqrt{125}=5\sqrt5=11.18m/sec$$