A bomb of mass 16kg at rest, explodes into two pieces of masses 4kg and 12kg. After explosion, the velocity of the 12kg mass is 4m/s. What is the velocity of the 4kg piece?

Using conservation of momentum we have initial total momentum equal to final total momentum.

0 = 4x + 12(4)

4x = -12

x = -12 m/s

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