A particle of mass $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity
A particle of mass $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity
$v/2$
$2v$
$v/\sqrt 2 $
$v$
A particle of mass $m$ moving eastward with a speed $v$ collides with another particle of the same mass moving northward with the same speed $v$. The two particles coalesce on collision. The new particle of mass $2m$ will move in the north-easterly direction with a velocity
Initial momentum of the system
${\vec P_i} = mv\hat i + mv\hat j$
$|{\vec P_i}|\; = \;\sqrt 2 mv$
Final momentum of the system $= 2mV$
By the law of conservation of momentum
$\sqrt 2 mv = 2mV \Rightarrow V = \frac{v}{{\sqrt 2 }}$
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