Momentum and CollisionMedium
Question
A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio
$2:2:3$. The two pieces of equal masses fly off perpendicular to each other with a speed of $18\text{ }m/s$ each. The velocity of the heavier fragment is
$\_\_\_\_$ $m/s$.
Options
A.$10\sqrt{2}$
B.$12\sqrt{2}$
C.12
D.$24\sqrt{2}$
Solution
Apply C.O.M
$${M_{1}{\text{ }V}_{1} + M_{2}{\text{ }V}_{2} + M_{3}{\text{ }V}_{3} = 0 }{2( - 18i) + 2( - 18j) + 3{\text{ }V}_{3} = 0 }{V_{3} = 12i + 12j }{\left| V_{3} \right| = 12\sqrt{2}\text{ }m/s}$$
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