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One end of 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):

1. T + mv²/l
2. T - mv²/l
3. Zero
4. T

Correct answer: T

Solution

The net force on the particle moving in a circle is provided entirely by the tension in the string, as there are no other forces acting radially. Hence, the net force is T.

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