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. (a) `v_0/3(hati+hatj+hatk)`
B. (b) `v_0/3(hati-hatj+hatk)`
C. (c) `v_0/3(hati-3hatj+hatk)`
D. (d) `v_0/3(hati-3hatj+5hatk)`

Answer

D

Explanation

`p_1=p_f`
`:.m(v_0hati)+m(-3v_0hatj)+m(5v_0hatk)`
`=3mv`
`:. v=(v_0)/(3)(hati-3hatj+5hatk)`