5.4 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:

(i) T

(ii) T - $\frac{\mathit{m}{\mathit{v}}^2}{\mathit{l}}$

(iii) T + $\frac{\mathit{m}{\mathit{v}}^2}{\mathit{l}}$

(iv) 0 T is the tension in the string. [Choose the correct alternative]

A block rests on an inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between block and the plane is 0.8. If the frictional force on the block is 10 N, then mass of block (in kg) (Take g = 10 m/s² )

Bullets of 0.03 kg mass each hit a plate at a rate of 200 bullets per second with velocity of 50 m/s and reflect back with velocity of 30 m/s. The average force acting on the plate in newton is

The root mean square speed of molecules of a gas is 1260 m/s. The average speed of the gas molecules is

Find the acceleration of 2 kg block shown in the diagram. (neglect friction)

In the system shown below, the pulley 4 string are ideal. If the acceleration of blocks is $\frac{g}{8}$ , find $\frac{m_1}{m_2}$