Question

A bullet of mass X, moving with a velocity V, strikes a wooden block of mass Z and gets embedded. If the block is free to move, its velocity after impact will be.

• A. $\frac{X}{X+Z}$V
• B. $\frac{X+Z}{Z}$V
• C. $\frac{X}{X-Z}V$
• D. $\frac{X+Z}{X}V$

Answer 1

The correct option is A $\frac{X}{X+Z}$V

REF.Image.

Initial momentum $=XV+0=P_i$

Final momentum $=V_f+(Z+X)=P_f$

Applying linear momentum conservation on (bullet f block)

system $P_i=P_f$

$XV=V_f(Z+X)$

$\Rightarrow V_f=\left(\frac{X}{Z+X}\right)V$ Ans