A particle of mass m is moving with speed 2 , v collides with a m… - Vidyadip

MCQ

A particle of mass $m$ is moving with speed $2\, v$ collides with a mass $2\,m$ moving with speed $v$ in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass $m$, which move at angle $45^o$ with respect to the original direction. The speed of each of the moving particle will be

A
$v/\left( {2\sqrt 2 } \right)$
✓
${2\sqrt 2 }\,v$
C
$\sqrt {2\,} v$
D
$v/\sqrt 2 $

✓

Answer

Correct option: B.

${2\sqrt 2 }\,v$

b
Linear momentum conservation

$m$ $2v + 2m v = m $$ \times \,0 + m\frac{{v'}}{{\sqrt 2 }} \times 2$

$v' = 2\sqrt 2 \,v.$

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