A body of mass 10 kg is attached to a wire of 0.3 m length. The breaking stress is 4.8 $$\times$$ 10$$^7$$ Nm$$^{-2}$$. The area of cross-section from the wire is 10$$^{-6}$$ m$$^{2}$$. The maximum angular velocity with which it can be rotated in a horizontal circle is

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/h. The centripetal force acting on the car is

A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius $$8.0 \mathrm{~m}$$, with minimum speed of $$5 \sqrt{5} \mathrm{~ms}^{-1}$$. The minimum value of coefficient of friction between the tyres and the wall of the well must be $$\left(g=10 \mathrm{~ms}^{-2}\right)$$