A shell of mass m moving with velocity v


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a shell of mass m moving with velocity v suddenly break into two pieces the part having mass m/3 remains stationary. the velocity of other part will be

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Momentum before breaking up is equal to momentum after breaking up.  If mass of one of the fragments is m/3 then that of the other is (2/3)m  So, mv = mv1/3 + (2/3)mv2
Given that mv1 = 0,
mv = 0 + (2/3)mv2
i.e. v = (2/3)v2
or v2 = (3/2)v


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