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Question

A bomb at rests explodes into three parts of equal masses. Two parts fly off at night angles to each other with velocities of 9 m/s and 12 m/s. Third part is moving opposite to above system. find the velocity of third part.

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Solution

Since there is no external force on the system its momemtum will be conserved
Initial Momemtum = Final Momentum
0=m3(9^i)+m3(12^j)+m3v
m3(9^i)+m3(12^j)=m3v
v=9^i12^j

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