$A$ sphere of mass $M$ moving with velocity $u$ undergoes a perfectly elastic collision with a stationary sphere of mass $m$. If their velocities after the collision are $V$ and $v$ respectively,what is the value of $v$?
- A$\frac{2uM}{m}$
- B$\frac{2um}{M}$
- C$\frac{2u}{1 + \frac{m}{M}}$
- D$\frac{2u}{1 + \frac{M}{m}}$
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