A body at rest breaks up into $3$ parts. If $2$ parts having equal masses fly off perpendicularly each after with a velocity of $12m/s$, then the velocity of the third part which has $3$ times mass of each part is
A body at rest breaks up into $3$ parts. If $2$ parts having equal masses fly off perpendicularly each after with a velocity of $12m/s$, then the velocity of the third part which has $3$ times mass of each part is
$4\sqrt 2 \,m/s$ at an angle of ${45^o}$ from each body
$24\sqrt 2 \,m/s$ at an angle of ${135^o}$from each body
$6\sqrt 2 \,m/s$ at ${135^o}$from each body
$4\sqrt 2 \,m/s$ at ${135^o}$ from each body
A body at rest breaks up into $3$ parts. If $2$ parts having equal masses fly off perpendicularly each after with a velocity of $12m/s$, then the velocity of the third part which has $3$ times mass of each part is
The momentum of third part will be equal and opposite to the resultant of momentum of rest two equal parts
let $V$ is the velocity of third part.
By the conservation of linear momentum
$3m \times V = m \times 12\sqrt 2 $==> $V = 4\sqrt 2 \;m/s$