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

Options

A. `-5 cm `
B. `-20 cm `
C. `+5cm `
D. `(-45)/4cm`

Answer

1

Explanation

The particle moving along x-axis, So, centre of mass will not move along y direction.
`y_(cm)=0`
`=(m_(1)y_(1)+m_(2)y_(2))/(m_(1)+m_(2)) =((m//4).15+(3m//4)y)/m`
y=-5 cm