If a stone of mass 0.25 kg tied to a string executes uniform circular motion with a speed of 2 m s^-1 of radius 3 m, what is the magnitude of tensional force acting on the stone?

Consider a circular leveled road of radius 10m having coefficient of static friction 0.81. Three cars (A, B and C) are travelling with speed 7 ms^-1, 8 m s^-1 and 10 ms^-1 respectively. Which car will skid when it moves in the circular level road? (g = 10 m s^-2).

Calculate the centrifugal force experienced by a man of 60 kg standing at Chennai? (Given: Latitude of Chennai is 13°)

A gun weighing 25 kg fires a bullet weighing 30 g with the speed of 200 ms^-1. What is the speed of recoil of the gun.

In the section 3.7.3 (Banking of road) we have not included the friction exerted by the road on the car. Suppose the coefficient of static friction between the car tyre and the surface of the road is, calculate the minimum speed with which the car can take safe turn? When the car takes turn in the banked road, the following three forces act on the car.
(1) The gravitational force mg acting downwards.
(2) The normal force N acting perpendicular to the surface of the road.
(3) The static frictional force f acting on the car along the surface.