An isolated particle of mass m is moving in horizontal plane along the x - axis at a certain height above the ground. It suddenly explodes into two fragments of masses `(m)/(4)` and `(3m)/(4)`. At an instant the smaller fragment is at `y=+15 cm`. The larger fragment, at this instant is at.

Explanation

As `vec(F)_(y)=0 " " Delta vec(P)_(y)=0 " " vec(P)_(yi)=vec(P)_(yf)`

`vec(P)_(yi)=0 " " therefore m_(1)vec(V)_(y_(1))+m_(2)vec(V)_(y_(2))=0, m_(1)vec(y)_(1)=-m_(2)vec(y)_(2)`
`y_(2)=-((cancel(m))/(4)xx15)/((3cancel(m))/(4))" " y_(2)=-5 cm`.