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 center) is:
1. \(T\)
2. \(T-\frac{mv^2}{l}\)
3. \(T+\frac{mv^2}{l}\)
4. zero

T = tension on the string.

 

(i) T

The net force T on the particle is directed towards the centre. It provides the centripetal force required by the particle to move along a circle.

F = T = mv2l

Where F is the net force acting on the particle.