Three identical particles with velocities `v_0hati`, `-3v_0hatj` and `5v_0hatk` collide successively with each other in such a way that they form a single particle. The velocity vector of resultant particle is

Options

A. `v_(0)(hat i - 3 hat j + 5 hat k)`
B. `v_(0)/3(hat i - 3 hat j + 5 hat k)`
C. `v_(0)/2(hat i - 3 hat j + 5 hat k)`
D. `v_(0)/3(hat i + 3 hat j + 5 hat k)`

Answer

`(2)`

Explanation

`mv_(0) overline i - 3mV_(0)overline j + 5mv_(0)overlinek = (m+ m+m)v`
`therefore v = (mv_(0)(hat i - 3 hat j + 5 hat k))/(3m)`