A bullet of mass (A) and velocity (B) is fired integralo a b... | Physics | SolveeIt | Solveeit

Today, August 18

Question

A bullet of mass $A$ and velocity $B$ is fired into a block of mass $C$ and sticks to it. The final velocity of system equals

A

$\frac {A+B}{C}A$

B

$B\frac {B}{A+B}$

C

$B\frac {A}{A+C}$

D

$\frac {A+C}{B}$

Answer

$B\frac {A}{A+C}$

Explanation

Solution

Using law of conservation of linear momentum AB = (A + C) $\upsilon$ i.e. $\upsilon = \frac{AB}{A + C} = B \frac{A}{A + C }$