Q. A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of $12\ m/s$, then the velocity of the third part which has 3 times mass of each part is
A) $4\sqrt{2}\ m/s$ at an angle of $45{^\circ}$ from each body
B) $24\sqrt{2}\ m/s$ at an angle of $135{^\circ}$ from each body
C) $6\sqrt{2}\ m/s$ at $135{^\circ}$ from each body
D) $4\sqrt{2}\ m/s$ at $135{^\circ}$ from each body
Explanation
(d) 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
$3m \times V = m \times 12\sqrt{2}$
$\Rightarrow V = 4\sqrt{2}\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.