A ball of mass 10 kg moving with a velocity 10 √ 3 m / s along the x -axis, hits another ball of mass 20 kg which is at rest. After the collision,…

A ball of mass $\displaystyle 10$ kg moving with a velocity $\displaystyle 10 \sqrt{3} \mathrm{~m} / \mathrm{s}$ along the $\displaystyle x$-axis, hits another ball of mass $\displaystyle 20$ kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along $\displaystyle y$-axis with a speed of $\displaystyle 10$ m/s. The second piece starts moving at an angle of $\displaystyle 30$° with respect to the $\displaystyle x$-axis.The velocity of the ball moving at $\displaystyle 30$° with $\displaystyle x$-axis is $\displaystyle x \mathrm{~m} / \mathrm{s}$. The configuration of pieces after collision is shown in the figure below. The value of $\displaystyle x$ to the nearest integer is \_\_\_\_.