Q. 170 Two balls each of $5 \mathrm{~cm}$ in diameter are placed $200 \mathrm{~m}$ apart on a horizontal frictionless plane at $45^{\circ} \mathrm{N}$. The balls are impulsively propelled directly at each other with equal speeds. What must be the speed in $\mathrm{m} \mathrm{s}^{-1}$ so that the two balls just miss each other?
(consider the value of $\Omega$ as $7.29 \times 10^{-5} \mathrm{rad} \mathrm{s}^{-1}$, rounded off to two decimal places).
