Work, Energy and Power - Hard

A spherical ball

A

of mass

4\,\text{kg}

, moving along a straight line strikes another spherical ball

B

of mass

1\,\text{kg}

at rest. After the collision,

A

and

B

move with velocities

v_1\ \text{ms}^{-1}

and

v_2\ \text{ms}^{-1}

respectively making angles of

30^\circ

and

60^\circ

with respect to the original direction of motion of

A

. The ratio

v_1/v_2

will be