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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a
mv2
b
(3 / 2) mv2
c
2 mv2
d
4 mv2
answer is B.
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Detailed Solution
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
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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