Q. A bullet of mass $a$ and velocity $b$ is fired into a large block of mass $c$. The final velocity of the system is
A) $\frac{c}{a + b}.b$
B) $\frac{a}{a + c}.b$
C) $\frac{a + b}{c}.a$
D) $\frac{a + c}{a}.b$
Explanation
(b) [image:6_image75.png]
Initially bullet moves with velocity $b$ and after collision bullet get embedded in block and both move together with common velocity
By the conservation of momentum
$\Rightarrow a \times b + 0 = (a + c)V \Rightarrow V = \frac{ab}{a + c}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.