One end of the string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed v , the net force on the particle (directed towards centre) will be ( T represents the tension in the string)

Step-by-step solution

The particle moves in a circle on a smooth horizontal table. Vertical forces (gravity and normal reaction) balance each other. In the horizontal plane, the only force acting towards the centre is the tension T in the string. This tension provides the centripetal force: T = mv^2 l Net force directed towards centre = T