A body of mass $$4m$$ is lying in .$$xy-plane$$ at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speeds v. The total kinetic energy generated due to explosion is

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Infinity Learn · Accepted Answer

$$2(mv)$$ $$=$$ Resultant momentum of two small masses       $$2(mv)$$ $$=$$ (2m)×v' ⇒v'$$=v2So$$, total kinetic energy generated by the explosion                        $$=12mv2+12mv2+12(2m)v$$'$$2$$                         $$=mv2+m$$×$$v22=mv2+mv22=32mv2$$

A body of mass 4m is lying in .xy-plane at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speeds v. The total kinetic energy generated due to explosion is

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