A bomb of mass 16 kg at rest explodes into tw | vedclass

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Question

Let the velocity and mass of $4\;kg$ piece be $v_1$ and $m_1$ and that of $12\;kg$ piece be $v_2$ and $m_2$

Applying conservation of liner momentum

Vedclass · Accepted Answer

$288$

Vedclass · Answer

Let the velocity and mass of $4\;kg$ piece be $v_1$ and $m_1$ and that of $12\;kg$ piece be $v_2$ and $m_2$

Applying conservation of liner momentum 

$m_2$$v_2$=$m_1$$v_1$=$ \Rightarrow  = \frac{{12 	imes 4}}{4} = 12$ $m{s^{ - 1}}$

$	herefore \,\,K.E{._1} = \frac{1}{2}{m_1}v_1^2 = \frac{1}{2} 	imes 4 	imes 144 = 288\,J$

A bomb of mass $16\ kg$ at rest explodes into two pieces of masses $4\ kg$ and $12\ kg.$ The velolcity of the $12\ kg$ mass is $4$ $ms^{-1}$. The kinetic energy of the other mass is .............. $\mathrm{J}$

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