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

Step-by-step solution

Consider a string of length l connected to a particle as shown in figure As the particle is moving with velocity v in uniform circular motion, so the net force must be equal to the centripetal force, which is provided by the tension in the string. Net force = Centripetal force (F_ C )= Tension in string (T) m v² l =T