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_(o))/(2)(hat i - 3 hat j+ 5 hat k)`
D. `(v_(0))/(3)(hat i - 3 hat j+ 5 hat k)`

Answer

B

Explanation

`mv_(0) overline i - 3mV_(0) overline j + 5mv_(0) overline k=(m+m+m)v`
`:. v = (mv_(o)(hat i -3 hat j+ 5 hat k))/(3m)`.