Fig. shows a system of three masses being pulled with a force F. the masses are connected to each other by strings. The horizontal surface is frictionless . The tension `T_(1)` in the first string is 16 N. The acceleration of the system is `:`

Options

A. `(1)/(m)`
B. `(2)/(m)`
C. `(3)/(m)`
D. `(4)/(m)`

Answer

B

Explanation

Let a is the acceleration of system
`rArr a=(F)/(9m)`
By FBD of m

`a=(F-16)/(m)rArr a=(9ma-16)/(m) rArr ma=9ma-16`
`8ma = 16 rArr a=(2)/(m)`