An object X, with mass $0.30\,\text{kg}$, is moving along a straight path with a constant velocity of $3.0\,\text{m s}^{-1}$ across a level surface with no friction. Object X then collides with a stationary object Y, which has mass $0.50\,\text{kg}$. Following the collision, X travels at $2.0\,\text{m s}^{-1}$ at an angle of $60^{\circ}$ to the direction in which it was moving before the collision. Object Y then moves with velocity $v$ at an angle of $41^{\circ}$ to the original direction of X, as illustrated. What is the value of $v$?
- A$0.80\,\text{m s}^{-1}$
- B$1.2\,\text{m s}^{-1}$
- C$1.6\,\text{m s}^{-1}$
- D$1.8\,\text{m s}^{-1}$