Question

A body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass at rest and sticks to it. The velocity to the combine body after collision is :

• A. $zero$
• B. $\frac{v}{2}$
• C. $v$
• D. $2v$

Answer 1

Answer: (B)

$\frac{v}{2}$

Here, a body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass at rest and sticks to it thus in collision momentum will be conserved
$mu+0=(m+m)v^{\prime }$
$mv=2m{v}^{\prime }$ ........$(u=v$ given$)$
$v^{\prime }=\frac{v}{2}$