A ball of mass \( 3 \mathrm{~kg} \) and radius \( 3 \mathrm{~cm} \)...

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A ball of mass \( 3 \mathrm{~kg} \) and radius \( 3 \mathrm{~cm} \) moving with velocity of \( 10 \mathrm{~m} / \mathrm{s} \) collides obliquely with another ball of mass \( 2 \mathrm{~kg} \& \) radius \( 2 \mathrm{~cm} \), kept at rest. The impact parameter is \( 3 \mathrm{~cm} \). It is found that after collision, the \( 3 \mathrm{~kg} \) ball has a velocity component of \( 2 \mathrm{~m} / \mathrm{s} \) along the common normal.
Find the coefficient of restitution.
(1) \( \frac{1}{2} \)
(2) \( \frac{8}{9} \)
(3) \( \frac{7}{8} \)
(4) \( \frac{2}{3} \)
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