A bullet of mass \( a \) and velocity \( b \) is fired into a large block of mass \( c \). The f...

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A bullet of mass \( a \) and velocity \( b \) is fired into a large block of mass \( c \). The final velocity of the system is
[AFMC 1981, 94, 2000; MNR 1998]
(a) \( \frac{c}{a+b} \cdot b \)
(b) \( \frac{a}{a+c} \cdot b \)
(c) \( \frac{a+b}{c} \cdot a \)
(d) \( \frac{a+c}{a} \cdot b \)
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