Question

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. $\frac{a+c}{a}.b$

Answer 1

The correct option is B

$\frac{a}{a+c}.b$

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

$\Rightarrow (a\times b)+0=(a+c)V\Rightarrow V=\frac{ab}{a+b}$