$=\operatorname{vsin}(\theta / 2)+\operatorname{vsin}(\theta / 2)=2 \operatorname{vsin}(\theta / 2)$
velocity of separation $=\mathrm{zero}$
$\mathrm{m}_{1} \mathrm{u}_{1}+\mathrm{m}_{2} \mathrm{u}_{2}=\left(\mathrm{m}_{1}+\mathrm{m}_{2}\right) \mathrm{v}^{\prime}$
$m \operatorname{vcos}(\theta / 2)+m \operatorname{vcos}(\theta / 2)=2 m v^{\prime}$
$\mathrm{v}^{\prime}=\mathrm{v} \cos (\theta / 2)$
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$(A)$ $\frac{9}{32 R}$ $(B)$ $\frac{9}{16 R}$ $(C)$ $\frac{9}{5 R}$ $(D)$ $\frac{4}{3 R}$
